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vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Edukiak</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ezkutatu</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">⇑ Gora</div> </a> </li> <li id="toc-Masa_kontzeptuaren_eboluzioa_historian_zehar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Masa_kontzeptuaren_eboluzioa_historian_zehar"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Masa kontzeptuaren eboluzioa historian zehar</span> </div> </a> <button aria-controls="toc-Masa_kontzeptuaren_eboluzioa_historian_zehar-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Masa kontzeptuaren eboluzioa historian zehar azpiatal</span> </button> <ul id="toc-Masa_kontzeptuaren_eboluzioa_historian_zehar-sublist" class="vector-toc-list"> <li id="toc-Aristoteles-en_masa_kontzeptua" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aristoteles-en_masa_kontzeptua"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Aristoteles-en masa kontzeptua</span> </div> </a> <ul id="toc-Aristoteles-en_masa_kontzeptua-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masari_buruzko_ideia_berriak_mekanika_galilearrean" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masari_buruzko_ideia_berriak_mekanika_galilearrean"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Masari buruzko ideia berriak mekanika galilearrean</span> </div> </a> <ul id="toc-Masari_buruzko_ideia_berriak_mekanika_galilearrean-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Newton-ek_masa_kontzeptuari_eginiko_ekarpen_bikoitza" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Newton-ek_masa_kontzeptuari_eginiko_ekarpen_bikoitza"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Newton-ek masa kontzeptuari eginiko ekarpen bikoitza</span> </div> </a> <ul id="toc-Newton-ek_masa_kontzeptuari_eginiko_ekarpen_bikoitza-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kimika_eta_materia-kantitatea" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kimika_eta_materia-kantitatea"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Kimika eta materia-kantitatea</span> </div> </a> <ul id="toc-Kimika_eta_materia-kantitatea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masaren_balioa_erlatibitate_berezian" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masaren_balioa_erlatibitate_berezian"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Masaren balioa erlatibitate berezian</span> </div> </a> <ul id="toc-Masaren_balioa_erlatibitate_berezian-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Bi_motatako_masak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bi_motatako_masak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Bi motatako masak</span> </div> </a> <button aria-controls="toc-Bi_motatako_masak-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Bi motatako masak azpiatal</span> </button> <ul id="toc-Bi_motatako_masak-sublist" class="vector-toc-list"> <li id="toc-Grabitazio-masa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Grabitazio-masa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Grabitazio-masa</span> </div> </a> <ul id="toc-Grabitazio-masa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Inertzia-masa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Inertzia-masa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Inertzia-masa</span> </div> </a> <ul id="toc-Inertzia-masa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Berdintzat_har_ote_daitezke_grabitazio-masa_eta_inertzia-masa?_Baliokidetza-printzipioa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Berdintzat_har_ote_daitezke_grabitazio-masa_eta_inertzia-masa?_Baliokidetza-printzipioa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Berdintzat har ote daitezke grabitazio-masa eta inertzia-masa? Baliokidetza-printzipioa</span> </div> </a> <ul id="toc-Berdintzat_har_ote_daitezke_grabitazio-masa_eta_inertzia-masa?_Baliokidetza-printzipioa-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Masaren_ezaugarri_eta_berezitasunak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Masaren_ezaugarri_eta_berezitasunak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Masaren ezaugarri eta berezitasunak</span> </div> </a> <button aria-controls="toc-Masaren_ezaugarri_eta_berezitasunak-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Masaren ezaugarri eta berezitasunak azpiatal</span> </button> <ul id="toc-Masaren_ezaugarri_eta_berezitasunak-sublist" class="vector-toc-list"> <li id="toc-Masaren_neurketa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masaren_neurketa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Masaren neurketa</span> </div> </a> <ul id="toc-Masaren_neurketa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masa-unitateak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masa-unitateak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Masa-unitateak</span> </div> </a> <ul id="toc-Masa-unitateak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masaren_ezaugarriak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masaren_ezaugarriak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Masaren ezaugarriak</span> </div> </a> <ul id="toc-Masaren_ezaugarriak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masaren_eta_mekanikako_beste_magnitude_batzuen_arteko_erlazioa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masaren_eta_mekanikako_beste_magnitude_batzuen_arteko_erlazioa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Masaren eta mekanikako beste magnitude batzuen arteko erlazioa <b> </b></span> </div> </a> <ul id="toc-Masaren_eta_mekanikako_beste_magnitude_batzuen_arteko_erlazioa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masa_eta_substantzia-kantitatea" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masa_eta_substantzia-kantitatea"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Masa eta substantzia-kantitatea</span> </div> </a> <ul id="toc-Masa_eta_substantzia-kantitatea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masa_eta_pisua" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masa_eta_pisua"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.6</span> <span>Masa eta pisua</span> </div> </a> <ul id="toc-Masa_eta_pisua-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ikus,_gainera" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ikus,_gainera"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Ikus, gainera</span> </div> </a> <ul id="toc-Ikus,_gainera-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Edukiak" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Eduki-taula" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Eduki taularen ikusgarritasuna aldatu" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Eduki taularen ikusgarritasuna aldatu</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Masa</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Joan beste hizkuntza batean idatzitako artikulu batera. 165 hizkuntzatan eskuragarri." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-165" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">165 hizkuntza</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Massa" title="Massa – afrikaansa" lang="af" hreflang="af" data-title="Massa" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Masse_(Physik)" title="Masse (Physik) – Suitzako alemana" lang="gsw" hreflang="gsw" data-title="Masse (Physik)" data-language-autonym="Alemannisch" data-language-local-name="Suitzako alemana" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8C%8D%E1%8B%9D%E1%8D%88%E1%89%B5" title="ግዝፈት – amharera" lang="am" hreflang="am" data-title="ግዝፈት" data-language-autonym="አማርኛ" data-language-local-name="amharera" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Masa" title="Masa – aragoiera" lang="an" hreflang="an" data-title="Masa" data-language-autonym="Aragonés" data-language-local-name="aragoiera" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B9%E0%A4%A4%E0%A4%BF" title="संहति – angikera" lang="anp" hreflang="anp" data-title="संहति" data-language-autonym="अंगिका" data-language-local-name="angikera" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%83%D8%AA%D9%84%D8%A9" title="كتلة – arabiera" lang="ar" hreflang="ar" data-title="كتلة" data-language-autonym="العربية" data-language-local-name="arabiera" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%83%D8%AA%D9%84%D8%A9" title="كتلة – Moroccan Arabic" lang="ary" hreflang="ary" data-title="كتلة" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%83%D8%AA%D9%84%D9%87" title="كتله – Egyptian Arabic" lang="arz" hreflang="arz" data-title="كتله" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AD%E0%A7%B0" title="ভৰ – assamera" lang="as" hreflang="as" data-title="ভৰ" data-language-autonym="অসমীয়া" data-language-local-name="assamera" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast badge-Q17437796 badge-featuredarticle mw-list-item" title="artikulu nabarmenduak"><a href="https://ast.wikipedia.org/wiki/Masa" title="Masa – asturiera" lang="ast" hreflang="ast" data-title="Masa" data-language-autonym="Asturianu" data-language-local-name="asturiera" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/K%C3%BCtl%C9%99_(fiziki_k%C9%99miyy%C9%99t)" title="Kütlə (fiziki kəmiyyət) – azerbaijanera" lang="az" hreflang="az" data-title="Kütlə (fiziki kəmiyyət)" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%A9%D9%88%D8%AA%D9%84%D9%87" title="کوتله – South Azerbaijani" lang="azb" hreflang="azb" data-title="کوتله" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – baxkirera" lang="ba" hreflang="ba" data-title="Масса" data-language-autonym="Башҡортса" data-language-local-name="baxkirera" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Massn" title="Massn – Bavarian" lang="bar" hreflang="bar" data-title="Massn" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Mas%C4%97" title="Masė – Samogitian" lang="sgs" hreflang="sgs" data-title="Masė" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Masa" title="Masa – Central Bikol" lang="bcl" hreflang="bcl" data-title="Masa" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – bielorrusiera" lang="be" hreflang="be" data-title="Маса" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Маса" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bew mw-list-item"><a href="https://bew.wikipedia.org/wiki/Ombolan_(%C3%A8lmu_tab%C3%A8at)" title="Ombolan (èlmu tabèat) – Betawi" lang="bew" hreflang="bew" data-title="Ombolan (èlmu tabèat)" data-language-autonym="Betawi" data-language-local-name="Betawi" class="interlanguage-link-target"><span>Betawi</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – bulgariera" lang="bg" hreflang="bg" data-title="Маса" data-language-autonym="Български" data-language-local-name="bulgariera" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%AD%E0%A4%BE%E0%A4%B0" title="भार – Bhojpuri" lang="bh" hreflang="bh" data-title="भार" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AD%E0%A6%B0" title="ভর – bengalera" lang="bn" hreflang="bn" data-title="ভর" data-language-autonym="বাংলা" data-language-local-name="bengalera" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Mas" title="Mas – bretoiera" lang="br" hreflang="br" data-title="Mas" data-language-autonym="Brezhoneg" data-language-local-name="bretoiera" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Masa" title="Masa – bosniera" lang="bs" hreflang="bs" data-title="Masa" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Масса" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Massa" title="Massa – katalana" lang="ca" hreflang="ca" data-title="Massa" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/C%C3%A9k-li%C3%B4ng" title="Cék-liông – Mindong" lang="cdo" hreflang="cdo" data-title="Cék-liông" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-chr mw-list-item"><a href="https://chr.wikipedia.org/wiki/%E1%8E%A6%E1%8F%9F%E1%8F%8C%E1%8F%85_%E1%8E%A4%E1%8E%AA%E1%8F%97%E1%8F%97" title="ᎦᏟᏌᏅ ᎤᎪᏗᏗ – txerokiera" lang="chr" hreflang="chr" data-title="ᎦᏟᏌᏅ ᎤᎪᏗᏗ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="txerokiera" class="interlanguage-link-target"><span>ᏣᎳᎩ</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%D8%A7%D8%B1%D8%B3%D8%AA%DB%95" title="بارستە – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="بارستە" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Hmotnost" title="Hmotnost – txekiera" lang="cs" hreflang="cs" data-title="Hmotnost" data-language-autonym="Čeština" data-language-local-name="txekiera" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – txuvaxera" lang="cv" hreflang="cv" data-title="Масса" data-language-autonym="Чӑвашла" data-language-local-name="txuvaxera" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/M%C3%A0s" title="Màs – galesa" lang="cy" hreflang="cy" data-title="Màs" data-language-autonym="Cymraeg" data-language-local-name="galesa" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Masse_(fysik)" title="Masse (fysik) – daniera" lang="da" hreflang="da" data-title="Masse (fysik)" data-language-autonym="Dansk" data-language-local-name="daniera" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Masse_(Physik)" title="Masse (Physik) – alemana" lang="de" hreflang="de" data-title="Masse (Physik)" data-language-autonym="Deutsch" data-language-local-name="alemana" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%AC%CE%B6%CE%B1" title="Μάζα – greziera" lang="el" hreflang="el" data-title="Μάζα" data-language-autonym="Ελληνικά" data-language-local-name="greziera" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mass" title="Mass – ingelesa" lang="en" hreflang="en" data-title="Mass" data-language-autonym="English" data-language-local-name="ingelesa" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Maso" title="Maso – esperantoa" lang="eo" hreflang="eo" data-title="Maso" data-language-autonym="Esperanto" data-language-local-name="esperantoa" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Masa" title="Masa – gaztelania" lang="es" hreflang="es" data-title="Masa" data-language-autonym="Español" data-language-local-name="gaztelania" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Mass" title="Mass – estoniera" lang="et" hreflang="et" data-title="Mass" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Massa" title="Massa – Extremaduran" lang="ext" hreflang="ext" data-title="Massa" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AC%D8%B1%D9%85_(%D9%81%DB%8C%D8%B2%DB%8C%DA%A9)" title="جرم (فیزیک) – persiera" lang="fa" hreflang="fa" data-title="جرم (فیزیک)" data-language-autonym="فارسی" data-language-local-name="persiera" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Massa" title="Massa – finlandiera" lang="fi" hreflang="fi" data-title="Massa" data-language-autonym="Suomi" data-language-local-name="finlandiera" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Mass_(f%C3%BC%C3%BCsiga)" title="Mass (füüsiga) – Võro" lang="vro" hreflang="vro" data-title="Mass (füüsiga)" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Levu" title="Levu – fijiera" lang="fj" hreflang="fj" data-title="Levu" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fijiera" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Masse" title="Masse – frantsesa" lang="fr" hreflang="fr" data-title="Masse" data-language-autonym="Français" data-language-local-name="frantsesa" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Mase" title="Mase – iparraldeko frisiera" lang="frr" hreflang="frr" data-title="Mase" data-language-autonym="Nordfriisk" data-language-local-name="iparraldeko frisiera" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Massa_(natuerkunde)" title="Massa (natuerkunde) – mendebaldeko frisiera" lang="fy" hreflang="fy" data-title="Massa (natuerkunde)" data-language-autonym="Frysk" data-language-local-name="mendebaldeko frisiera" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Mais" title="Mais – irlandera" lang="ga" hreflang="ga" data-title="Mais" data-language-autonym="Gaeilge" data-language-local-name="irlandera" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F" title="質量 – Gan" lang="gan" hreflang="gan" data-title="質量" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Mas" title="Mas – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Mas" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Tomad" title="Tomad – Eskoziako gaelikoa" lang="gd" hreflang="gd" data-title="Tomad" data-language-autonym="Gàidhlig" data-language-local-name="Eskoziako gaelikoa" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Masa" title="Masa – galiziera" lang="gl" hreflang="gl" data-title="Masa" data-language-autonym="Galego" data-language-local-name="galiziera" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/M%C3%A1sa" title="Mása – guaraniera" lang="gn" hreflang="gn" data-title="Mása" data-language-autonym="Avañe'ẽ" data-language-local-name="guaraniera" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%A6%E0%AB%8D%E0%AA%B0%E0%AA%B5%E0%AB%8D%E0%AA%AF%E0%AA%AE%E0%AA%BE%E0%AA%A8" title="દ્રવ્યમાન – gujaratera" lang="gu" hreflang="gu" data-title="દ્રવ્યમાન" data-language-autonym="ગુજરાતી" data-language-local-name="gujaratera" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Glout" title="Glout – manxera" lang="gv" hreflang="gv" data-title="Glout" data-language-autonym="Gaelg" data-language-local-name="manxera" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Ch%E1%B9%B3t-li%C3%B4ng" title="Chṳt-liông – Hakka Chinese" lang="hak" hreflang="hak" data-title="Chṳt-liông" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%94" title="מסה – hebreera" lang="he" hreflang="he" data-title="מסה" data-language-autonym="עברית" data-language-local-name="hebreera" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="द्रव्यमान – hindia" lang="hi" hreflang="hi" data-title="द्रव्यमान" data-language-autonym="हिन्दी" data-language-local-name="hindia" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Mass" title="Mass – Fiji Hindi" lang="hif" hreflang="hif" data-title="Mass" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Masa" title="Masa – kroaziera" lang="hr" hreflang="hr" data-title="Masa" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Mas_in%C3%A8si" title="Mas inèsi – Haitiko kreolera" lang="ht" hreflang="ht" data-title="Mas inèsi" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitiko kreolera" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/T%C3%B6meg" title="Tömeg – hungariera" lang="hu" hreflang="hu" data-title="Tömeg" data-language-autonym="Magyar" data-language-local-name="hungariera" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B6%D5%A1%D5%B6%D5%A3%D5%BE%D5%A1%D5%AE" title="Զանգված – armeniera" lang="hy" hreflang="hy" data-title="Զանգված" data-language-autonym="Հայերեն" data-language-local-name="armeniera" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Massa_(quantitate_physic)" title="Massa (quantitate physic) – interlingua" lang="ia" hreflang="ia" data-title="Massa (quantitate physic)" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Massa" title="Massa – indonesiera" lang="id" hreflang="id" data-title="Massa" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ie mw-list-item"><a href="https://ie.wikipedia.org/wiki/Masse" title="Masse – interlinguea" lang="ie" hreflang="ie" data-title="Masse" data-language-autonym="Interlingue" data-language-local-name="interlinguea" class="interlanguage-link-target"><span>Interlingue</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Masa" title="Masa – ilocanoera" lang="ilo" hreflang="ilo" data-title="Masa" data-language-autonym="Ilokano" data-language-local-name="ilocanoera" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Maso" title="Maso – idoa" lang="io" hreflang="io" data-title="Maso" data-language-autonym="Ido" data-language-local-name="idoa" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is badge-Q17437798 badge-goodarticle mw-list-item" title="artikulu onak"><a href="https://is.wikipedia.org/wiki/Massi" title="Massi – islandiera" lang="is" hreflang="is" data-title="Massi" data-language-autonym="Íslenska" data-language-local-name="islandiera" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it badge-Q17437796 badge-featuredarticle mw-list-item" title="artikulu nabarmenduak"><a href="https://it.wikipedia.org/wiki/Massa_(fisica)" title="Massa (fisica) – italiera" lang="it" hreflang="it" data-title="Massa (fisica)" data-language-autonym="Italiano" data-language-local-name="italiera" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F" title="質量 – japoniera" lang="ja" hreflang="ja" data-title="質量" data-language-autonym="日本語" data-language-local-name="japoniera" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Mas" title="Mas – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Mas" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Massa" title="Massa – javera" lang="jv" hreflang="jv" data-title="Massa" data-language-autonym="Jawa" data-language-local-name="javera" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%A1%E1%83%90" title="მასა – georgiera" lang="ka" hreflang="ka" data-title="მასა" data-language-autonym="ქართული" data-language-local-name="georgiera" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Takura" title="Takura – kabiliera" lang="kab" hreflang="kab" data-title="Takura" data-language-autonym="Taqbaylit" data-language-local-name="kabiliera" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/H%C9%A9l%C9%A9m%C9%A9y%C9%9B" title="Hɩlɩmɩyɛ – Kabiye" lang="kbp" hreflang="kbp" data-title="Hɩlɩmɩyɛ" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – kazakhera" lang="kk" hreflang="kk" data-title="Масса" data-language-autonym="Қазақша" data-language-local-name="kazakhera" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%98%E1%9F%89%E1%9E%B6%E1%9E%9F" title="ម៉ាស – khemerera" lang="km" hreflang="km" data-title="ម៉ាស" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khemerera" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A6%E0%B3%8D%E0%B2%B0%E0%B2%B5%E0%B3%8D%E0%B2%AF%E0%B2%B0%E0%B2%BE%E0%B2%B6%E0%B2%BF" title="ದ್ರವ್ಯರಾಶಿ – kannada" lang="kn" hreflang="kn" data-title="ದ್ರವ್ಯರಾಶಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A7%88%EB%9F%89" title="질량 – koreera" lang="ko" hreflang="ko" data-title="질량" data-language-autonym="한국어" data-language-local-name="koreera" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – karachayera-balkarera" lang="krc" hreflang="krc" data-title="Масса" data-language-autonym="Къарачай-малкъар" data-language-local-name="karachayera-balkarera" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ksh mw-list-item"><a href="https://ksh.wikipedia.org/wiki/Masse" title="Masse – koloniera" lang="ksh" hreflang="ksh" data-title="Masse" data-language-autonym="Ripoarisch" data-language-local-name="koloniera" class="interlanguage-link-target"><span>Ripoarisch</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Bariste" title="Bariste – kurduera" lang="ku" hreflang="ku" data-title="Bariste" data-language-autonym="Kurdî" data-language-local-name="kurduera" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – kirgizera" lang="ky" hreflang="ky" data-title="Масса" data-language-autonym="Кыргызча" data-language-local-name="kirgizera" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Massa" title="Massa – latina" lang="la" hreflang="la" data-title="Massa" data-language-autonym="Latina" data-language-local-name="latina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Mass_(Physik)" title="Mass (Physik) – luxenburgera" lang="lb" hreflang="lb" data-title="Mass (Physik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxenburgera" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Masa" title="Masa – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Masa" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Massa" title="Massa – limburgera" lang="li" hreflang="li" data-title="Massa" data-language-autonym="Limburgs" data-language-local-name="limburgera" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Massa" title="Massa – lombardiera" lang="lmo" hreflang="lmo" data-title="Massa" data-language-autonym="Lombard" data-language-local-name="lombardiera" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Lib%C3%B3nd%C3%B3" title="Libóndó – lingala" lang="ln" hreflang="ln" data-title="Libóndó" data-language-autonym="Lingála" data-language-local-name="lingala" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%A1%E0%BA%B0%E0%BA%AB%E0%BA%B2%E0%BA%8A%E0%BA%BB%E0%BA%99" title="ມະຫາຊົນ – laosera" lang="lo" hreflang="lo" data-title="ມະຫາຊົນ" data-language-autonym="ລາວ" data-language-local-name="laosera" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Mas%C4%97" title="Masė – lituaniera" lang="lt" hreflang="lt" data-title="Masė" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Masa" title="Masa – letoniera" lang="lv" hreflang="lv" data-title="Masa" data-language-autonym="Latviešu" data-language-local-name="letoniera" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%A1%D1%82%D0%B0%D0%BB%D0%BC%D0%BE%D1%81%D1%8C" title="Сталмось – mokxera" lang="mdf" hreflang="mdf" data-title="Сталмось" data-language-autonym="Мокшень" data-language-local-name="mokxera" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Lanja" title="Lanja – malgaxea" lang="mg" hreflang="mg" data-title="Lanja" data-language-autonym="Malagasy" data-language-local-name="malgaxea" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Massa" title="Massa – minangkabauera" lang="min" hreflang="min" data-title="Massa" data-language-autonym="Minangkabau" data-language-local-name="minangkabauera" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0_(%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0)" title="Маса (физика) – mazedoniera" lang="mk" hreflang="mk" data-title="Маса (физика)" data-language-autonym="Македонски" data-language-local-name="mazedoniera" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B4%BF%E0%B4%A3%E0%B5%8D%E0%B4%A1%E0%B4%82" title="പിണ്ഡം – malabarera" lang="ml" hreflang="ml" data-title="പിണ്ഡം" data-language-autonym="മലയാളം" data-language-local-name="malabarera" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81" title="Масс – mongoliera" lang="mn" hreflang="mn" data-title="Масс" data-language-autonym="Монгол" data-language-local-name="mongoliera" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%81%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="वस्तुमान – marathera" lang="mr" hreflang="mr" data-title="वस्तुमान" data-language-autonym="मराठी" data-language-local-name="marathera" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Jisim" title="Jisim – malaysiera" lang="ms" hreflang="ms" data-title="Jisim" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%92%E1%80%BC%E1%80%95%E1%80%BA%E1%80%91%E1%80%AF" title="ဒြပ်ထု – birmaniera" lang="my" hreflang="my" data-title="ဒြပ်ထု" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmaniera" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Masse_(Physik)" title="Masse (Physik) – behe-alemana" lang="nds" hreflang="nds" data-title="Masse (Physik)" data-language-autonym="Plattdüütsch" data-language-local-name="behe-alemana" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BF%E0%A4%A3%E0%A5%8D%E0%A4%A1" title="पिण्ड – nepalera" lang="ne" hreflang="ne" data-title="पिण्ड" data-language-autonym="नेपाली" data-language-local-name="nepalera" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Massa_(natuurkunde)" title="Massa (natuurkunde) – nederlandera" lang="nl" hreflang="nl" data-title="Massa (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Masse" title="Masse – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Masse" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Masse" title="Masse – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Masse" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Mase" title="Mase – Novial" lang="nov" hreflang="nov" data-title="Mase" data-language-autonym="Novial" data-language-local-name="Novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Massa" title="Massa – okzitaniera" lang="oc" hreflang="oc" data-title="Massa" data-language-autonym="Occitan" data-language-local-name="okzitaniera" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Hanga" title="Hanga – oromoera" lang="om" hreflang="om" data-title="Hanga" data-language-autonym="Oromoo" data-language-local-name="oromoera" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A9%81%E0%A9%B0%E0%A8%9C" title="ਪੁੰਜ – punjabera" lang="pa" hreflang="pa" data-title="ਪੁੰਜ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabera" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Masa_(fizyka)" title="Masa (fizyka) – poloniera" lang="pl" hreflang="pl" data-title="Masa (fizyka)" data-language-autonym="Polski" data-language-local-name="poloniera" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Massa_(f%C3%ACsica)" title="Massa (fìsica) – Piedmontese" lang="pms" hreflang="pms" data-title="Massa (fìsica)" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%DA%A9%D9%85%DB%8C%D8%AA" title="کمیت – Western Punjabi" lang="pnb" hreflang="pnb" data-title="کمیت" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DA%A9%D8%AA%D9%84%D9%87" title="کتله – paxtunera" lang="ps" hreflang="ps" data-title="کتله" data-language-autonym="پښتو" data-language-local-name="paxtunera" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Massa" title="Massa – portugesa" lang="pt" hreflang="pt" data-title="Massa" data-language-autonym="Português" data-language-local-name="portugesa" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Wisnu" title="Wisnu – kitxua" lang="qu" hreflang="qu" data-title="Wisnu" data-language-autonym="Runa Simi" data-language-local-name="kitxua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Mas%C4%83" title="Masă – errumaniera" lang="ro" hreflang="ro" data-title="Masă" data-language-autonym="Română" data-language-local-name="errumaniera" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-rsk mw-list-item"><a href="https://rsk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – Pannonian Rusyn" lang="rsk" hreflang="rsk" data-title="Маса" data-language-autonym="Руски" data-language-local-name="Pannonian Rusyn" class="interlanguage-link-target"><span>Руски</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – errusiera" lang="ru" hreflang="ru" data-title="Масса" data-language-autonym="Русский" data-language-local-name="errusiera" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – Rusyn" lang="rue" hreflang="rue" data-title="Маса" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B9%E0%A4%A4%E0%A4%BF%E0%A4%83_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%B5%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%9E%E0%A4%BE%E0%A4%A8%E0%A4%AE%E0%A5%8D)" title="संहतिः (भौतविज्ञानम्) – sanskritoa" lang="sa" hreflang="sa" data-title="संहतिः (भौतविज्ञानम्)" data-language-autonym="संस्कृतम्" data-language-local-name="sanskritoa" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B0%D1%81%D1%81%D0%B0" title="Маасса – sakhera" lang="sah" hreflang="sah" data-title="Маасса" data-language-autonym="Саха тыла" data-language-local-name="sakhera" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Massa" title="Massa – siziliera" lang="scn" hreflang="scn" data-title="Massa" data-language-autonym="Sicilianu" data-language-local-name="siziliera" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Mass" title="Mass – eskoziera" lang="sco" hreflang="sco" data-title="Mass" data-language-autonym="Scots" data-language-local-name="eskoziera" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%AA%D9%85%D9%8A%D8%AA" title="ڪميت – sindhia" lang="sd" hreflang="sd" data-title="ڪميت" data-language-autonym="سنڌي" data-language-local-name="sindhia" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Masa" title="Masa – serbokroaziera" lang="sh" hreflang="sh" data-title="Masa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%83%E0%B7%8A%E0%B6%9A%E0%B6%B1%E0%B7%8A%E0%B6%B0%E0%B6%BA" title="ස්කන්ධය – sinhala" lang="si" hreflang="si" data-title="ස්කන්ධය" data-language-autonym="සිංහල" data-language-local-name="sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mass" title="Mass – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mass" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Hmotnos%C5%A5" title="Hmotnosť – eslovakiera" lang="sk" hreflang="sk" data-title="Hmotnosť" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Masa" title="Masa – esloveniera" lang="sl" hreflang="sl" data-title="Masa" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Huremu" title="Huremu – shonera" lang="sn" hreflang="sn" data-title="Huremu" data-language-autonym="ChiShona" data-language-local-name="shonera" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Cuf" title="Cuf – somaliera" lang="so" hreflang="so" data-title="Cuf" data-language-autonym="Soomaaliga" data-language-local-name="somaliera" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Masa" title="Masa – albaniera" lang="sq" hreflang="sq" data-title="Masa" data-language-autonym="Shqip" data-language-local-name="albaniera" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – serbiera" lang="sr" hreflang="sr" data-title="Маса" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Masse" title="Masse – Saterland Frisian" lang="stq" hreflang="stq" data-title="Masse" data-language-autonym="Seeltersk" data-language-local-name="Saterland Frisian" class="interlanguage-link-target"><span>Seeltersk</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Massa" title="Massa – sundanera" lang="su" hreflang="su" data-title="Massa" data-language-autonym="Sunda" data-language-local-name="sundanera" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Massa" title="Massa – suediera" lang="sv" hreflang="sv" data-title="Massa" data-language-autonym="Svenska" data-language-local-name="suediera" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Tungamo" title="Tungamo – swahilia" lang="sw" hreflang="sw" data-title="Tungamo" data-language-autonym="Kiswahili" data-language-local-name="swahilia" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Masa" title="Masa – silesiera" lang="szl" hreflang="szl" data-title="Masa" data-language-autonym="Ślůnski" data-language-local-name="silesiera" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AF%8A%E0%AE%B0%E0%AF%81%E0%AE%A3%E0%AF%8D%E0%AE%AE%E0%AF%88" title="பொருண்மை – tamilera" lang="ta" hreflang="ta" data-title="பொருண்மை" data-language-autonym="தமிழ்" data-language-local-name="tamilera" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A6%E0%B1%8D%E0%B0%B0%E0%B0%B5%E0%B1%8D%E0%B0%AF%E0%B0%B0%E0%B0%BE%E0%B0%B6%E0%B0%BF" title="ద్రవ్యరాశి – telugua" lang="te" hreflang="te" data-title="ద్రవ్యరాశి" data-language-autonym="తెలుగు" data-language-local-name="telugua" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D1%81%D0%B0" title="Масса – tajikera" lang="tg" hreflang="tg" data-title="Масса" data-language-autonym="Тоҷикӣ" data-language-local-name="tajikera" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A1%E0%B8%A7%E0%B8%A5" title="มวล – thailandiera" lang="th" hreflang="th" data-title="มวล" data-language-autonym="ไทย" data-language-local-name="thailandiera" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Masa" title="Masa – tagaloa" lang="tl" hreflang="tl" data-title="Masa" data-language-autonym="Tagalog" data-language-local-name="tagaloa" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCtle" title="Kütle – turkiera" lang="tr" hreflang="tr" data-title="Kütle" data-language-autonym="Türkçe" data-language-local-name="turkiera" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Vunyingi-swilo" title="Vunyingi-swilo – tsongera" lang="ts" hreflang="ts" data-title="Vunyingi-swilo" data-language-autonym="Xitsonga" data-language-local-name="tsongera" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/Massa" title="Massa – tatarera" lang="tt" hreflang="tt" data-title="Massa" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarera" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-ug mw-list-item"><a href="https://ug.wikipedia.org/wiki/%DB%8B%DB%95%D8%B2%D9%89%D9%86" title="ۋەزىن – uigurrera" lang="ug" hreflang="ug" data-title="ۋەزىن" data-language-autonym="ئۇيغۇرچە / Uyghurche" data-language-local-name="uigurrera" class="interlanguage-link-target"><span>ئۇيغۇرچە / Uyghurche</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%B0" title="Маса – ukrainera" lang="uk" hreflang="uk" data-title="Маса" data-language-autonym="Українська" data-language-local-name="ukrainera" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%DA%A9%D9%85%DB%8C%D8%AA" title="کمیت – urdua" lang="ur" hreflang="ur" data-title="کمیت" data-language-autonym="اردو" data-language-local-name="urdua" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Massa" title="Massa – uzbekera" lang="uz" hreflang="uz" data-title="Massa" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Masa" title="Masa – veneziera" lang="vec" hreflang="vec" data-title="Masa" data-language-autonym="Vèneto" data-language-local-name="veneziera" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Mass" title="Mass – Veps" lang="vep" hreflang="vep" data-title="Mass" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Kh%E1%BB%91i_l%C6%B0%E1%BB%A3ng" title="Khối lượng – vietnamera" lang="vi" hreflang="vi" data-title="Khối lượng" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Massa" title="Massa – West Flemish" lang="vls" hreflang="vls" data-title="Massa" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Masa" title="Masa – warayera" lang="war" hreflang="war" data-title="Masa" data-language-autonym="Winaray" data-language-local-name="warayera" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F" title="質量 – wu txinera" lang="wuu" hreflang="wuu" data-title="質量" data-language-autonym="吴语" data-language-local-name="wu txinera" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%9E%D7%90%D7%A1%D7%A2" title="מאסע – yiddisha" lang="yi" hreflang="yi" data-title="מאסע" data-language-autonym="ייִדיש" data-language-local-name="yiddisha" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/%C3%80k%C3%B3j%E1%BB%8D_(f%C3%ADs%C3%ADks%C3%AC)" title="Àkójọ (físíksì) – jorubera" lang="yo" hreflang="yo" data-title="Àkójọ (físíksì)" data-language-autonym="Yorùbá" data-language-local-name="jorubera" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%B4%A8%E9%87%8F" title="质量 – txinera" lang="zh" hreflang="zh" data-title="质量" data-language-autonym="中文" data-language-local-name="txinera" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F" title="質量 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="質量" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Chit-li%C5%8Dng" title="Chit-liōng – Minnan" lang="nan" hreflang="nan" data-title="Chit-liōng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%B3%AA%E9%87%8F" title="質量 – kantonera" lang="yue" hreflang="yue" data-title="質量" data-language-autonym="粵語" data-language-local-name="kantonera" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Isisindo" title="Isisindo – zuluera" lang="zu" hreflang="zu" data-title="Isisindo" data-language-autonym="IsiZulu" data-language-local-name="zuluera" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11423#sitelinks-wikipedia" title="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Izen-tarteak"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Masa" title="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Eztabaida:Masa" rel="discussion" title="Artikuluari buruzko eztabaida [t]" accesskey="t"><span>Eztabaida</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Aldatu hizkuntza aldaera" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">euskara</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Ikusketak"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Masa"><span>Irakurri</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Masa&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Masa&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Masa&action=history" title="Artikulu honen aurreko bertsioak. [h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tresnak</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Masa"><span>Irakurri</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Masa&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Masa&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Masa&action=history"><span>Ikusi historia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Orokorra </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Berezi:ZerkLotzenDuHona/Masa" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Masa" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Masa&oldid=9284589" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Masa&action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&page=Masa&id=9284589&wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMasa"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMasa"><span>QR kodea jaitsi</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Inprimatu/esportatu </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Berezi:Book&bookcmd=book_creator&referer=Masa"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&page=Masa&action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Masa&printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Beste proiektuetan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Mass_(physical_property)" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11423" title="Datuen biltegi elementu 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style="text-align:center;font-size:125%;font-weight:bold">Masa</th></tr><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"><span typeof="mw:File"><a href="/wiki/Fitxategi:2kg_Gewicht_freigeschnitten.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/2kg_Gewicht_freigeschnitten.jpg/330px-2kg_Gewicht_freigeschnitten.jpg" decoding="async" width="285" height="442" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/2kg_Gewicht_freigeschnitten.jpg/500px-2kg_Gewicht_freigeschnitten.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a2/2kg_Gewicht_freigeschnitten.jpg/960px-2kg_Gewicht_freigeschnitten.jpg 2x" data-file-width="962" data-file-height="1491" /></a></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Magnitude mota</th><td class="infobox-data"><a href="/w/index.php?title=Kind_of_quantity&action=edit&redlink=1" class="new" title="Kind of quantity (sortu gabe)">kind of quantity</a> <sup>(en)</sup> <span class="mw-valign-baseline skin-invert" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q110653654?uselang=eu"><img alt="Itzuli" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/10px-Noun_Project_label_icon_1116097_cc_mirror.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/15px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/20px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 2x" data-file-width="158" data-file-height="161" /></a></span> eta <a href="/w/index.php?title=ISQ_oinarriko_kantitatea&action=edit&redlink=1" class="new" title="ISQ oinarriko kantitatea (sortu gabe)">ISQ oinarriko kantitatea</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Ohiko ikurra</th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}" /></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Neurtzeko unitatea</th><td class="infobox-data"><a href="/wiki/Kilogramo" title="Kilogramo">kilogramo</a> eta <a href="/wiki/Tona" title="Tona">tona</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Dimentsioa</th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {M}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">M</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {M}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d2825874b1ad46c9fab585139f2f5e6e6b3b200" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.033ex; height:2.176ex;" alt="{\displaystyle {\mathsf {M}}}" /></span></td></tr></tbody></table> 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{\boldsymbol {F}}=m{\boldsymbol {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>=</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">a</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}=m{\boldsymbol {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0e889207254cfbfab613b8beba214f5e4d2430d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.49ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {F}}=m{\boldsymbol {a}}}" /></span><div class="sidebar-caption" style="font-size:90%;padding:0.6em 0;font-style:italic;"><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></div></td></tr><tr><th class="sidebar-heading" style="background:#ddf; display:block;margin-bottom:1.0em;"> <div class="hlist"> <ul><li><a href="/wiki/Mekanika_klasikoaren_historia" title="Mekanika klasikoaren historia">Historia</a></li> <li><a href="/wiki/Mekanika_Klasikoaren_kronologia" class="mw-redirect" title="Mekanika Klasikoaren kronologia">Kronologia</a></li></ul> </div></th></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Adarrak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Mekanika_aplikatua" title="Mekanika aplikatua">Aplikatua</a></li> <li><a href="/wiki/Dinamika" title="Dinamika">Dinamika</a></li> <li><a href="/wiki/Estatika" title="Estatika">Estatika</a></li> <li><a href="/wiki/Zeruko_mekanika" title="Zeruko mekanika">Zerukoa</a></li> <li><a href="/wiki/Zinematika" title="Zinematika">Zinematika</a></li> <li><a href="/wiki/Medio_jarraituen_mekanika" title="Medio jarraituen mekanika">Medio jarraituak</a></li> <li><a href="/w/index.php?title=Zinetika_(fisika)&action=edit&redlink=1" class="new" title="Zinetika (fisika) (sortu gabe)">Zinetika</a></li> <li><a href="/w/index.php?title=Fisika_estatistiko&action=edit&redlink=1" class="new" title="Fisika estatistiko (sortu gabe)">Estatistikoa</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Oinarriak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Abiadura" title="Abiadura">Abiadura</a></li> <li><a href="/wiki/Azelerazio" title="Azelerazio">Azelerazioa</a></li> <li><a href="/wiki/Abiadura-modulu" class="mw-redirect" title="Abiadura-modulu">Abiadura-modulua</a></li> <li><a href="/wiki/Bulkada_(fisika)" title="Bulkada (fisika)">Bulkada</a></li> <li><a href="/w/index.php?title=D%27Alembert-en_printzipioa&action=edit&redlink=1" class="new" title="D'Alembert-en printzipioa (sortu gabe)">D'Alembert-en printzipioa</a></li> <li><a href="/wiki/Denbora" title="Denbora">Denbora</a></li> <li><a href="/wiki/Energia" title="Energia">Energia</a> <ul><li><a href="/wiki/Energia_potentzial" title="Energia potentzial">potentziala</a></li> <li><a href="/wiki/Energia_zinetiko" title="Energia zinetiko">zinetikoa</a></li></ul></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Erreferentzia-sistema_inertzial" title="Erreferentzia-sistema inertzial">Erreferentzia-sistema inertziala</a></li> <li><a href="/wiki/Erreferentzia-sistema_ez-inertzial" title="Erreferentzia-sistema ez-inertzial">Erreferentzia-sistema ez-inertziala</a></li> <li><a href="/wiki/Espazio" title="Espazio">Espazioa</a></li> <li><a href="/wiki/Indar-pare" title="Indar-pare">Indar-parea</a></li> <li><a href="/wiki/Indar" title="Indar">Indarra</a></li> <li><span style="white-space:nowrap"><a href="/wiki/Inertzia" title="Inertzia">Inertzia</a> / <a href="/wiki/Inertzia-momentu" title="Inertzia-momentu">Inertzia-momentua</a></span></li> <li><a href="/wiki/Lan_(fisika)" title="Lan (fisika)">Lana</a></li> <li><a href="/w/index.php?title=Lan_birtual&action=edit&redlink=1" class="new" title="Lan birtual (sortu gabe)">Lan birtuala</a></li> <li><a class="mw-selflink selflink">Masa</a></li> <li><a href="/w/index.php?title=Momentu_(fisika)&action=edit&redlink=1" class="new" title="Momentu (fisika) (sortu gabe)">Momentua</a></li> <li><a href="/wiki/Momentu_angeluar" title="Momentu angeluar">Momentu angeluarra</a></li> <li><a href="/wiki/Momentu_lineal" title="Momentu lineal">Momentu lineala</a></li> <li><a href="/wiki/Potentzia" title="Potentzia">Potentzia</a></li> <li><a href="/wiki/Torke" class="mw-redirect" title="Torke">Torkea</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Zientzialariak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo</a></li> <li><a href="/wiki/Christiaan_Huygens" title="Christiaan Huygens">Huygens</a></li> <li><a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton</a></li> <li><a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Kepler</a></li> <li><a href="/w/index.php?title=Jeremiah_Horrocks&action=edit&redlink=1" class="new" title="Jeremiah Horrocks (sortu gabe)">Horrocks</a></li> <li><a href="/wiki/Edmond_Halley" title="Edmond Halley">Halley</a></li> <li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li> <li><a href="/wiki/Jean_le_Rond_d%27Alembert" title="Jean le Rond d'Alembert">d'Alembert</a></li> <li><a href="/wiki/Alexis_Clairaut" title="Alexis Clairaut">Clairaut</a></li> <li><a href="/wiki/Joseph-Louis_Lagrange" title="Joseph-Louis Lagrange">Lagrange</a></li> <li><a href="/wiki/Pierre-Simon_Laplace" title="Pierre-Simon Laplace">Laplace</a></li> <li><a href="/wiki/William_Rowan_Hamilton" title="William Rowan Hamilton">Hamilton</a></li> <li><a href="/wiki/Sim%C3%A9on_Denis_Poisson" title="Siméon Denis Poisson">Poisson</a></li> <li><a href="/wiki/Daniel_Bernoulli" title="Daniel Bernoulli">Daniel Bernoulli</a></li> <li><a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann Bernoulli</a></li> <li><a href="/wiki/Augustin-Louis_Cauchy" title="Augustin-Louis Cauchy">Cauchy</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Muinekoak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Bibrazio" title="Bibrazio">Bibrazioa</a></li> <li><a href="/wiki/Desplazamendu_(fisika)" title="Desplazamendu (fisika)">Desplazamendua</a></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Erreferentzia-sistema_inertzial" title="Erreferentzia-sistema inertzial">Erreferentzia-sistema inertziala</a></li> <li><a href="/wiki/Erreferentzia-sistema_ez-inertzial" title="Erreferentzia-sistema ez-inertzial">Erreferentzia-sistema ez-inertziala</a></li> <li><a href="/wiki/Gorputz_zurrun" title="Gorputz zurrun">Gorputz zurruna</a> <ul><li><a href="/w/index.php?title=Eulerren_ekuazio&action=edit&redlink=1" class="new" title="Eulerren ekuazio (sortu gabe)">Eulerren ekuazioa</a></li> <li><a href="/w/index.php?title=Solido_zurrunaren_mekanika&action=edit&redlink=1" class="new" title="Solido zurrunaren mekanika (sortu gabe)">Solido zurrunaren mekanika</a></li></ul></li> <li><a href="/wiki/Grabitazio_unibertsalaren_legea" title="Grabitazio unibertsalaren legea"><span style="white-space: normal;">Grabitazio unibertsalaren legea</span></a></li> <li><a href="/wiki/Higidura_zuzen" title="Higidura zuzen">Higidura zuzena</a></li> <li><a href="/wiki/Higidura" title="Higidura">Higidura</a></li> <li><a href="/wiki/Marruskadura-indar" title="Marruskadura-indar">Marruskadura-indarra</a></li> <li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li> <li><a href="/wiki/Osziladore_harmoniko" title="Osziladore harmoniko">Osziladore harmonikoa</a></li> <li><a href="/w/index.php?title=Moteltze&action=edit&redlink=1" class="new" title="Moteltze (sortu gabe)">Moteltze</a>(<a href="/w/index.php?title=Moteltze_ratio&action=edit&redlink=1" class="new" title="Moteltze ratio (sortu gabe)">Moteltze ratio</a>)</li> <li><a href="/w/index.php?title=Higiduraren_ekuazio&action=edit&redlink=1" class="new" title="Higiduraren ekuazio (sortu gabe)">Higiduraren ekuazioa</a></li> <li><a href="/w/index.php?title=Eulerren_higiduraren_legeak&action=edit&redlink=1" class="new" title="Eulerren higiduraren legeak (sortu gabe)"><span style="white-space: normal;">Eulerren higiduraren legeak</span></a></li> <li><a href="/w/index.php?title=Itxurazko_indar&action=edit&redlink=1" class="new" title="Itxurazko indar (sortu gabe)">Itxurazko indarra</a></li> <li><a href="/w/index.php?title=Partikula_planarraren_higadura-mekanika&action=edit&redlink=1" class="new" title="Partikula planarraren higadura-mekanika (sortu gabe)">Partikula planarraren higadura-mekanika</a></li> <li><a href="/w/index.php?title=Abiadura_erlatibo&action=edit&redlink=1" class="new" title="Abiadura erlatibo (sortu gabe)">Abiadura erlatiboa</a></li> <li><a href="/wiki/Higidura_harmoniko_sinple" title="Higidura harmoniko sinple">Higidura harmoniko sinple</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;"><a href="/wiki/Biraketa-ardatz" title="Biraketa-ardatz">Biraketa</a></div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Abiadura_angeluar" title="Abiadura angeluar">Abiadura angeluarra</a></li> <li><a href="/wiki/Abiadura" title="Abiadura">Abiadura tangentziala</a></li> <li><a href="/w/index.php?title=Azelerazio_angeluar&action=edit&redlink=1" class="new" title="Azelerazio angeluar (sortu gabe)">Azelerazio angeluarra</a></li> <li><a href="/w/index.php?title=Biraketa-abiadura&action=edit&redlink=1" class="new" title="Biraketa-abiadura (sortu gabe)">Biraketa-abiadura</a></li> <li><a href="/wiki/Coriolis_efektua" title="Coriolis efektua">Coriolis efektua</a></li> <li><a href="/w/index.php?title=Desplazamendu_angeluar&action=edit&redlink=1" class="new" title="Desplazamendu angeluar (sortu gabe)">Desplazamendua</a></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Higidura_zirkular" title="Higidura zirkular">Higidura zirkular</a></li> <li><a href="/wiki/Indar_zentripetu" title="Indar zentripetu">Indar zentripetu</a></li> <li><a href="/wiki/Indar_zentrifugo" title="Indar zentrifugo">Indar zentrifugo</a></li> <li><a href="/w/index.php?title=Maiztasun_angeluar&action=edit&redlink=1" class="new" title="Maiztasun angeluar (sortu gabe)">Maiztasuna</a></li> <li><a href="/wiki/Pendulu_(matematika)" class="mw-redirect" title="Pendulu (matematika)">Pendulua</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Formulazioak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li> <li><a href="/wiki/Mekanika_analitiko" title="Mekanika analitiko">Mekanika analitikoa</a></li> <li><a href="/wiki/Lagrangeren_mekanika" title="Lagrangeren mekanika">Mekanika Lagrangiar</a></li> <li><a href="/w/index.php?title=Mekanika_Hamiltoniar&action=edit&redlink=1" class="new" title="Mekanika Hamiltoniar (sortu gabe)">Mekanika Hamiltoniar</a></li> <li><a href="/w/index.php?title=Mekanika_Routhiar&action=edit&redlink=1" class="new" title="Mekanika Routhiar (sortu gabe)">Mekanika Routhiar</a></li> <li><a href="/w/index.php?title=Hamilton%E2%80%93Jacobi_ekuazioa&action=edit&redlink=1" class="new" title="Hamilton–Jacobi ekuazioa (sortu gabe)">Hamilton–Jacobi ekuazioa</a></li> <li><a href="/w/index.php?title=Appellen_higidura-ekuazioa&action=edit&redlink=1" class="new" title="Appellen higidura-ekuazioa (sortu gabe)">Appellen higidura-ekuazioa</a></li> <li><a href="/w/index.php?title=Koopman%E2%80%93von_Neumann_mekanika_klasiko&action=edit&redlink=1" class="new" title="Koopman–von Neumann mekanika klasiko (sortu gabe)">Koopman–von Neumann mekanika</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Kategoriak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"><div class="CategoryTreeTag" data-ct-options="{"mode":0,"hideprefix":20,"showcount":false,"namespaces":false,"notranslations":false}"><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Mekanika_klasikoa" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Kategoria:Mekanika_klasikoa" title="Kategoria:Mekanika klasikoa">Mekanika klasikoa</a></bdi></div><div class="CategoryTreeChildren" style="display:none"></div></div></div> </div></div></div></td> </tr><tr><td class="sidebar-navbar" style="padding-top:0.15em;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9236167" /><style data-mw-deduplicate="TemplateStyles:r9235565">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-ikusi"><a href="/wiki/Txantiloi:Mekanika_klasikoa" title="Txantiloi:Mekanika klasikoa"><abbr title="Txantiloi hau ikusi">i</abbr></a></li><li class="nv-eztabaida"><a href="/w/index.php?title=Txantiloi_eztabaida:Mekanika_klasikoa&action=edit&redlink=1" class="new" title="Txantiloi eztabaida:Mekanika klasikoa (sortu gabe)"><abbr title="Txantiloi hau eztabaidatu">e</abbr></a></li><li class="nv-aldatu"><a class="external text" href="https://eu.wikipedia.org/w/index.php?title=Txantiloi:Mekanika_klasikoa&action=edit"><abbr title="Txantiloi hau aldatu">a</abbr></a></li></ul></div></td></tr></tbody></table> <p><a href="/wiki/Fisika" title="Fisika">Fisika</a>n<b>, masa</b> (<i>massa</i> <a href="/wiki/Latin" title="Latin">latin</a>ez) gorputz baten materiaren kantitatearen neurria adierazten duen <a href="/wiki/Magnitude_fisiko" title="Magnitude fisiko">magnitude fisikoa</a> da.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Mekanika newtondarrean, masa magnitude fisiko <a href="/wiki/Eskalar" class="mw-redirect" title="Eskalar">eskalar</a>, positibo eta intrintsekoa da. Gainera, estentsiboa da, horrek esan nahi du zenbait zati edo partez osaturiko gorputzaren kasuan, gorputzaren masa osoa parte horien guztien masen batura dela. Bestalde, magnitude kontserbakorra da, hots, bere inguruko gorputzekin materiaren trukerik ez daukan sistema baten kasuan, masaren balioa konstantea da. </p><p>Gorputz baten masa bi eratan nabaritzen eta identifikatzen da:  batetik, bere abiadura aldatzeari gorputzak jartzen dion eragozpen edo <a href="/wiki/Inertzia" title="Inertzia">inertzia</a>n; bestetik, edozein gorputzen arteko <a href="/wiki/Grabitazio-eremu" title="Grabitazio-eremu">interakzio grabitazional</a>ean. Lehenengo kasuan <i><b>inertzia-masa</b></i> edo <i><b>masa inertziala</b></i> deritzo; bigarrenean, <i><b>grabitazio-masa</b></i> edo <i><b>masa grabitazionala</b></i>. Orain arteko esperimentuetan egiaztatu denez, proportzionaltasun zehatza dago bi masa horien artean, gorputzaren materiala edozein izanik ere. Proportzionaltasun horrek ahalbidetzen du kontzeptualki desberdinak diren bi magnitude horiek neurtzeko unitate berbera erabiltzea eta biak baliokidetzat hartzea. Preseski, <i><b>baliokidetza-printzipioak</b></i> adierazten du baliokidetasun hori. </p><p>Nazioarteko <a href="/wiki/SI_sistema" class="mw-redirect" title="SI sistema">SI unitate-sistemako</a> masa-unitatea <a href="/wiki/Kilogramo" title="Kilogramo">kilogramoa</a> da eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{kg}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kg</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{kg}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e809e6dac724f46a727a67f3fbe860b701ff7933" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.39ex; height:2.509ex;" alt="{\displaystyle {\text{kg}}}" /></span> sinboloaz adierazten da.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>Ohar bat egitea komeni da "masa" hitzaren erabilerari buruz. Hizkera arruntean nahastu egiten dira askotan “masa” eta “pisu” kontzeptuak. Fisikan, ordea, bereizi egiten dira argiro: <i>masa</i> magnitude eskalarra da; <i>pisua</i>, ordea, magnitude bektoriala, <i>indar</i> bat baita, zeinaren balioa grabitazio-indarrarekin eta erreferentzia-sistemako inertzia-indarrarekin erlazionaturik dagoen. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Masa_kontzeptuaren_eboluzioa_historian_zehar">Masa kontzeptuaren eboluzioa historian zehar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=1" title="Aldatu atal hau: «Masa kontzeptuaren eboluzioa historian zehar»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=1" title="Edit section's source code: Masa kontzeptuaren eboluzioa historian zehar"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Aristoteles-en_masa_kontzeptua">Aristoteles-en masa kontzeptua</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=2" title="Aldatu atal hau: «Aristoteles-en masa kontzeptua»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=2" title="Edit section's source code: Aristoteles-en masa kontzeptua"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Aristoteles" title="Aristoteles">Aristoteles</a>-en arabera, gorputzen higidura bi motatakoa izan zitekeen: "<i>behartua</i>" ala "<i>naturala</i>". Berak <i>higidura behartua</i> deitzen zion objektuaren naturaren aurka zihoan kanpo-indar baten ondoriozko mugimenduari. Ordea, <i>higidura naturala</i> objektuaren naturaren arabera berez gertatzen zela azaldu zuen, kanpo-indarren beharrik gabe<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>. </p><p>Hortaz, beraren ustez, objektu astunak naturalki mugitzen ziren Lurraren zentrorantz, erorketa-higidura berezkoa baitzen. Iritzi horretan oinarriturik, Aristotelesen grabitazio-teoriak zioen objektuak euren masaren proportzionala zen abiaduran erortzen zirela. Baina ez zuen inolako esperimentu edo neurketarik egin bere teoria hori frogatzeko. </p> <div class="mw-heading mw-heading3"><h3 id="Masari_buruzko_ideia_berriak_mekanika_galilearrean">Masari buruzko ideia berriak mekanika galilearrean</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=3" title="Aldatu atal hau: «Masari buruzko ideia berriak mekanika galilearrean»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=3" title="Edit section's source code: Masari buruzko ideia berriak mekanika galilearrean"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Amsterdam_Nieuwe_Kerk_1697.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Amsterdam_Nieuwe_Kerk_1697.jpg/250px-Amsterdam_Nieuwe_Kerk_1697.jpg" decoding="async" width="220" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Amsterdam_Nieuwe_Kerk_1697.jpg/330px-Amsterdam_Nieuwe_Kerk_1697.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/16/Amsterdam_Nieuwe_Kerk_1697.jpg/500px-Amsterdam_Nieuwe_Kerk_1697.jpg 2x" data-file-width="4122" data-file-height="3214" /></a><figcaption>Amsterdam-go Nieuwe Kerk eliza.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Pisa_experiment.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Pisa_experiment.png/250px-Pisa_experiment.png" decoding="async" width="220" height="183" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Pisa_experiment.png/330px-Pisa_experiment.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Pisa_experiment.png/440px-Pisa_experiment.png 2x" data-file-width="487" data-file-height="405" /></a><figcaption> Aristoteles-en teorian, masa handiko bola bizkorrago erori behar zen masa txikikoa baino. Stevinen esperimentuan (eta Galileoren teorian), ordea, biak parean erori ziren. </figcaption></figure> <p>Aristotelesen teoria <a href="/wiki/Simon_Stevin" title="Simon Stevin">Simon Stevin</a>-ek (1548-1620) egindako esperimentuarekin<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> ezetsi zen. Berak, <a href="/wiki/Amsterdam" title="Amsterdam">Amsterdam</a>-go Nieuwe Kerk elizaren gainaldetik berunezko bi bola askatu zituen aldi berean eta altuera beretik, bata bestea baino hamar aldiz pisutsuagoa, eta biak batera lurrera heltzen zirela konturatu zen. Horrek argi utzi zuen ezen erorketako abiadura ez zela gorputzaren masaren proportzionala, baizik eta masak eraginik ez zuela erortze-abiaduran. </p><p>Askok <a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo</a>-k (1564-1642) esperimentu bera <a href="/wiki/Pisako_dorrea" title="Pisako dorrea">Pisako dorrean</a> burutu zuela uste dute<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup>. Hala ere, zientziaren historialari gehienek onartzen dute Galileok ez zuela esperimentu hori egin, ez baitago horrelakorik aipatzen duen Galileoren inolako txostenik<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup>. Dena dela, Galileok Stevinen teoria berriari ekarpen teorikoak egin zizkion eta beste zenbait printzipiorekin osatu zuen hark eginiko lana, <i><a href="/wiki/Inertzia" title="Inertzia">inertziaren printzipioa</a></i> proposatuz, besteak beste. </p> <div class="mw-heading mw-heading3"><h3 id="Newton-ek_masa_kontzeptuari_eginiko_ekarpen_bikoitza">Newton-ek masa kontzeptuari eginiko ekarpen bikoitza</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=4" title="Aldatu atal hau: «Newton-ek masa kontzeptuari eginiko ekarpen bikoitza»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=4" title="Edit section's source code: Newton-ek masa kontzeptuari eginiko ekarpen bikoitza"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>XVII. mendearen bigarren partean, <a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton-en</a> (1642-1726) hausnarketek fisika klasikoaren masaren kontzeptu modernoa ekarri zuten mekanikaren oinarria diren bi funtsezko lege zehaztean: <a href="/wiki/Grabitazio_unibertsalaren_legea" title="Grabitazio unibertsalaren legea">grabitazio unibertsalaren legea</a> eta indarraren definizioko legea (<a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen bigarren legea</a>). Nolanahi ere, bi lege horietan bi masa desberdin definitu zituen. </p> <ul><li>Batetik, <a href="/wiki/Grabitazio" title="Grabitazio">erakarpen grabitatorioa</a>ren muinean dagoen masa kontzeptua dago, <i>masa grabitazionala</i> dei dezakeguna, propietate jakin bat adierazten duena, zeinak adierazten duen edozein bi masadun gorputzen artean erakarpena sortzen dela. Bestela esanda, kontzeptu honek adierazten du masen arteko <i>indar grabitazionala</i> masen existentziarekin erlazionaturik dagoela, eta masa indarraren neurriaren proportzionaltasun-konstantea dela.</li> <li>Bestetik, masa gorputzean kanpotik eragiten duen indarrarekin erlazionatzen duen kontzeptua dago, zeinak adierazten duen indar horrek gorputza azeleratzen duela, beti ere masaren balioaren alderantziz proportzionala den neurri batean; alegia, masak inertziaren tamaina adierazten duela, hots, gorputzak zer erresistentzia-indar jartzen dion abiadura aldatzeari; horregatik masaren kontzeptu honi <i>masa inertziala</i> deritzo.</li></ul> <p>Dena den, Newtonen fisika klasikoan, kasu batean zein bestean, gorputz iraunkorretan, konstante gisa definitzen da masa. </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Antoine-Laurent_Lavoisier_(by_Louis_Jean_Desire_Delaistre).jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Antoine-Laurent_Lavoisier_%28by_Louis_Jean_Desire_Delaistre%29.jpg/250px-Antoine-Laurent_Lavoisier_%28by_Louis_Jean_Desire_Delaistre%29.jpg" decoding="async" width="162" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Antoine-Laurent_Lavoisier_%28by_Louis_Jean_Desire_Delaistre%29.jpg/330px-Antoine-Laurent_Lavoisier_%28by_Louis_Jean_Desire_Delaistre%29.jpg 2x" data-file-width="1584" data-file-height="2150" /></a><figcaption>Antoine Lavoisier-ek </figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Kimika_eta_materia-kantitatea">Kimika eta materia-kantitatea</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=5" title="Aldatu atal hau: «Kimika eta materia-kantitatea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=5" title="Edit section's source code: Kimika eta materia-kantitatea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>XVIII. mendearen bukaera aldean, kimika modernoaren aitatzat hartzen den <a href="/wiki/Antoine_Lavoisier" title="Antoine Lavoisier">Antoine Lavoisier</a>-ek<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> (1743-1794) <i><a href="/wiki/Masaren_kontserbazioaren_legea" class="mw-redirect" title="Masaren kontserbazioaren legea">masaren kontserbazioaren legea</a></i> aurkitu zuen<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup>, era honetan formulatuz: «<i>Sistema itxi baten masa totalak konstante irauten du edozein izanik ere bertan gertatzen diren transformazio fisiko-kimikoak</i>». Hortik ondorioztatzen da masa materiaren kualitate eta kontserbakorra. </p><p>Lege hori baliagarri izan zen masa kontzeptuaren garapenerako, bereziki transfomazio kimikoen azterketan. Geroago, XIX. mendean atomoen existentzia finkatuz joan ahala eta Mendeleiev-en taula periodikoan elementu kimikoak euren masa atomikoen arabera sailkatzean, “<i>materia-kantitatea</i>” kontzeptua zehaztuz joan zen, kimikaren garapenak hala behartuta. Horrela, gorputz kimikoki puru baten materia-kantitatea bertan dauden atomoen (edo molekulen) kopuruarekin erlazionatu zen, eta horren kopuru hori <a href="/wiki/Avogadroren_zenbakia" class="mw-redirect" title="Avogadroren zenbakia">Avogadroren zenbakia</a>ren bidez adierazirik. Bide horretatik poliki-poliki aurrera eginez, XIX. mendean zehar etengabe fintzen ari zen <a href="/wiki/Nazioarteko_unitate-sistema" class="mw-redirect" title="Nazioarteko unitate-sistema">nazioarteko SI unitate-sistema</a>k erabaki zuen <i><b>materia-kopurua</b></i> eta <i><b>masa</b></i> kontzeptuak bereiztea, bakoitzari oinarrizko unitate bat esleituz, <i><b>mol</b></i> eta <i><b>kilogramo</b></i> izenekoak hurrenez hurren. </p> <div class="mw-heading mw-heading3"><h3 id="Masaren_balioa_erlatibitate_berezian">Masaren balioa <a href="/wiki/Erlatibitate_berezia" title="Erlatibitate berezia">erlatibitate berezia</a>n</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=6" title="Aldatu atal hau: «Masaren balioa erlatibitate berezian»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=6" title="Edit section's source code: Masaren balioa erlatibitate berezian"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:ETH-BIB-Einstein,_Albert_(1879-1955)_im_Patentamt_Bern-Portrait-Portr_05937.tif" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif/lossy-page1-180px-ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif.jpg" decoding="async" width="180" height="259" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif/lossy-page1-270px-ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif/lossy-page1-360px-ETH-BIB-Einstein%2C_Albert_%281879-1955%29_im_Patentamt_Bern-Portrait-Portr_05937.tif.jpg 2x" data-file-width="8206" data-file-height="11811" /></a><figcaption>Albert Einstein (1879-1955)</figcaption></figure> <p>Erlatibitate berezian beste efektu berezi bat hartu behar da kontuan abiadura handiz higitzen ari diren gorputzen kasuan. Izan ere, <i>mekanika newtondarrean</i>, dinamikaren oinarrizko printzipioa era honetan adierazten da: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}={\frac {{\text{d}}{\boldsymbol {p}}}{{\text{d}}t}}=m{\frac {{\text{d}}{\boldsymbol {v}}}{{\text{d}}t}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>d</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">p</mi> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>d</mtext> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>d</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">v</mi> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>d</mtext> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}={\frac {{\text{d}}{\boldsymbol {p}}}{{\text{d}}t}}=m{\frac {{\text{d}}{\boldsymbol {v}}}{{\text{d}}t}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5245c0b4c5234bd1f8825817138672ecc9a65ff5" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:17.737ex; height:5.509ex;" alt="{\displaystyle {\boldsymbol {F}}={\frac {{\text{d}}{\boldsymbol {p}}}{{\text{d}}t}}=m{\frac {{\text{d}}{\boldsymbol {v}}}{{\text{d}}t}},}" /></span> </p><p> baina <i>erlatibitate berezian</i> horrela definituriko <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}" /></span> masa inertziala ez da jadanik konstantea.</p><figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Rel-Newton-Impuls.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Rel-Newton-Impuls.svg/250px-Rel-Newton-Impuls.svg.png" decoding="async" width="220" height="176" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Rel-Newton-Impuls.svg/330px-Rel-Newton-Impuls.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Rel-Newton-Impuls.svg/500px-Rel-Newton-Impuls.svg.png 2x" data-file-width="600" data-file-height="480" /></a><figcaption>Momentu lineal erlatibista (gorriz), abiaduraren arabera (berdez) </figcaption></figure><p>Aitzitik, Einsteinen teorian, batetik, gorputzak masa inertzial bat dauka geldi dagoenean, zeinari <i><b>pausaguneko masa</b></i> deritzon, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a6ff51ee949104fe6fae553cfbdfba29d5fac1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.095ex; height:2.009ex;" alt="{\displaystyle m_{0}}" /></span>sinboloaz adierazten dena; baina, bestetik, teoria horretan abiadurari dagokion <a href="/wiki/Energia" title="Energia">energia</a>ri ere masa inertziala bat dagokio, teorian azaltzen den masaren eta energiaren baliokidetza-printzipioaren arabera. Bi jatorri horiek batera kontuan izanik, higitzen ari den partikularen masa inertziala honelaxe definitzen da: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m={\frac {m_{0}}{\sqrt {1-{v^{2}}/{c^{2}}}}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msqrt> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </msqrt> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m={\frac {m_{0}}{\sqrt {1-{v^{2}}/{c^{2}}}}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e323d6d141074e0f8f665ffbe26bcb1352d8c07" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:18.354ex; height:6.009ex;" alt="{\displaystyle m={\frac {m_{0}}{\sqrt {1-{v^{2}}/{c^{2}}}}},}" /></span> </p><p>non <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a6ff51ee949104fe6fae553cfbdfba29d5fac1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.095ex; height:2.009ex;" alt="{\displaystyle m_{0}}" /></span> pausaguneko masa den, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}" /></span> partikularen abiadura eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}" /></span> argiaren abiadura. </p> <div class="mw-heading mw-heading2"><h2 id="Bi_motatako_masak">Bi motatako masak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=7" title="Aldatu atal hau: «Bi motatako masak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=7" title="Edit section's source code: Bi motatako masak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Masaren kontzeptu modernoa ekarri zuten Newtonen mekanikaren legeek grabitazio-masa eta inertzia-masaren arteko desberdintasunak adierazten dituzte; izan ere, kasu bakoitzean oinarrizko propietate desberdinaren bidez definitzen da masaren balioa: </p> <ul><li><a href="/wiki/Estatika" title="Estatika">Estatika</a>n, gorputza “pisatuz” neurtzen da masa; zehatzago esateko, <a href="/wiki/Balantza" title="Balantza">balantza</a> edo <a href="/wiki/Dinamometro" title="Dinamometro">dinamometro</a> baten bidez gorputzaren masaren pisua masa patroi estandar baten pisuarekin konparatuz. Alegia, masaren balioa beraren proportzionala den <i>interakzio</i> (= <a href="/wiki/Indar" title="Indar">indar</a>) baten bitartez neurtzen da. Masaren propietate hori neurtzeko metodoa grabitatearen interakzioan oinarrituta dagoenez, <i><b>grabitazio-masa</b></i> edo <i><b>masa grabitazionala</b></i> deritzo; horregatik, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{\text{g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{\text{g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70f869afaf35fcbe204ead20049cd8584877de3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.095ex; height:2.343ex;" alt="{\displaystyle m_{\text{g}}}" /></span> sinboloaz adieraziko dugu hemen, espreski <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dcdf934513220ff9159c6b677b1ba3906d38ae5d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\text{g}}}" /></span> azpi-indizea erabiliz, indar grabitatorioaren bitartez definiturik dagoela erakusteko.</li> <li><a href="/wiki/Dinamika" title="Dinamika">Dinamika</a>n, masaren balioa kalkulatzeko, gorputzaren abiadura aldatzeko ekintzan (gorputzari azelerazioa emateko) gorputzak indarrari jartzen dion erresistentzia neurtzen da. Erresistentzia horri <a href="/wiki/Inertzia" title="Inertzia"><i>inertzia</i></a> deritzo, eta horregatik, era horretan lorturiko balioari <i><b>inertzia-masa</b></i> edo <i><b>masa inertziala</b></i> izena ematen zaio. Horregatik, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{\text{i}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>i</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{\text{i}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/145c979838e8d00b9e0501c6c5600f890906a88d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.73ex; height:2.009ex;" alt="{\displaystyle m_{\text{i}}}" /></span> sinboloaz adieraziko dugu, espreski <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{i}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>i</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{i}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f61e457710228cfc3000c1cdffe1dd3279057716" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:2.176ex;" alt="{\displaystyle {\text{i}}}" /></span> azpi-indizea erabiliz, Newtonen bigarren legea erabiliz kalkulatu dela erakusteko.</li></ul> <p>Azter ditzagun banan-banan bi definizio horiek dagozkien berezitasunak. </p> <div class="mw-heading mw-heading3"><h3 id="Grabitazio-masa">Grabitazio-masa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=8" title="Aldatu atal hau: «Grabitazio-masa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=8" title="Edit section's source code: Grabitazio-masa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Grabitazio-masen_arteko_erakarpen-indarrak.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Grabitazio-masen_arteko_erakarpen-indarrak.png/500px-Grabitazio-masen_arteko_erakarpen-indarrak.png" decoding="async" width="363" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Grabitazio-masen_arteko_erakarpen-indarrak.png/545px-Grabitazio-masen_arteko_erakarpen-indarrak.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/Grabitazio-masen_arteko_erakarpen-indarrak.png/726px-Grabitazio-masen_arteko_erakarpen-indarrak.png 2x" data-file-width="844" data-file-height="407" /></a><figcaption>Bi grabitazio-masaren arteko erakarpen-indarrak.</figcaption></figure> <p><i>Grabitazio-masa</i> terminoak grabitazio-eremu batean dauden bi gorputz materialen arteko erakarpen-indarrak sortzen eta jasaten dituen masa izendatzen du. Izan ere, <a href="/wiki/Grabitazio_unibertsalaren_legea" title="Grabitazio unibertsalaren legea">Newtonen grabitazio unibertsalaren legea</a>ren arabera edozein bi gorputzek elkarri egiten dioten indarraren balioa era bektorial honetan adiertazten da:<span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}=-G{m_{\text{g}}M_{\text{g}} \over r^{2}}{\boldsymbol {u}}_{r}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>=</mo> <mo>−</mo> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </msub> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </msub> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">u</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}=-G{m_{\text{g}}M_{\text{g}} \over r^{2}}{\boldsymbol {u}}_{r}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/191b5a873bf00db1aefcbaa8ac9ca1b0d5913fcd" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:19.056ex; height:5.843ex;" alt="{\displaystyle {\boldsymbol {F}}=-G{m_{\text{g}}M_{\text{g}} \over r^{2}}{\boldsymbol {u}}_{r}.}" /></span>non <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a728145135614a4f2c53b9332be4ea077ed10156" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.88ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {F}}}" /></span> erakarpen-indarra den, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f3c8921a3b352de45446a6789b104458c9f90b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.827ex; height:2.176ex;" alt="{\displaystyle G}" /></span> <a href="/wiki/Grabitazio_unibertsalaren_konstantea" title="Grabitazio unibertsalaren konstantea">grabitazio unibertsalaren konstantea</a> den (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G=6,67\times 10^{-11}{\text{N·}}{\text{kg}}^{-2}{\text{·m}}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>G</mi> <mo>=</mo> <mn>6</mn> <mo>,</mo> <mn>67</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>11</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mtext>N·</mtext> </mrow> <msup> <mrow class="MJX-TeXAtom-ORD"> <mtext>kg</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mtext>·m</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle G=6,67\times 10^{-11}{\text{N·}}{\text{kg}}^{-2}{\text{·m}}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f98195e9279c076164d8c0f9e38824ab11d70ba9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:28.516ex; height:3.009ex;" alt="{\displaystyle G=6,67\times 10^{-11}{\text{N·}}{\text{kg}}^{-2}{\text{·m}}^{2}}" /></span> baliokoa), <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{\text{g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{\text{g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70f869afaf35fcbe204ead20049cd8584877de3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.095ex; height:2.343ex;" alt="{\displaystyle m_{\text{g}}}" /></span> eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{\text{g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>g</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\text{g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80842f3595c7793886ea4baa241b913061cb4e6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.308ex; height:2.843ex;" alt="{\displaystyle M_{\text{g}}}" /></span> bi gorputzen grabitazio-masak, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}" /></span> bi partikulen arteko distantzia eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {u}}_{r}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">u</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {u}}_{r}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b028d776a1aee8b50158a44c695286875021acf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.557ex; height:2.009ex;" alt="{\displaystyle {\boldsymbol {u}}_{r}}" /></span> bi partikulen arteko norabideari dagokion bektore unitarioa. Bestalde, minus zeinuak indarra erakarlea dela adierazten du. Alboko irudian ikus daiteenez, bi gorputzek aldi berean jasandako bi indarrek norabide berbera dute, modulu berbera eta aurkako zeinua, hots, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}_{12}=-{\boldsymbol {F}}_{21}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mo>−</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>21</mn> </mrow> </msub> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}_{12}=-{\boldsymbol {F}}_{21}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a14687de5f09c2947791fa1b5c5eec936ea21a37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.509ex; height:2.509ex;" alt="{\displaystyle {\boldsymbol {F}}_{12}=-{\boldsymbol {F}}_{21}.}" /></span> </p><p>Grabitazio-masaren efektua zeruko mekanikan ikus dezakegu gehienbat. Adibide bat Lurrak eta Eguzkiak elkarri egiten dioten erakarpen-indarra da. </p> <div class="mw-heading mw-heading3"><h3 id="Inertzia-masa">Inertzia-masa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=9" title="Aldatu atal hau: «Inertzia-masa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=9" title="Edit section's source code: Inertzia-masa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Newtonen bigarren legean, ordea, beste esanahi bateko <i>masa</i> agertzen da ekuazio honetan:<span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}=m_{\text{i}}{\boldsymbol {a}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>i</mtext> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">a</mi> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}=m_{\text{i}}{\boldsymbol {a}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3159f71786128f07647a4a88d14c951974b2b4f0" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.827ex; height:2.509ex;" alt="{\displaystyle {\boldsymbol {F}}=m_{\text{i}}{\boldsymbol {a}},}" /></span>non <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a728145135614a4f2c53b9332be4ea077ed10156" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.88ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {F}}}" /></span><i> </i>gorputzari eginiko indarra den, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m_{\text{i}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>i</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{\text{i}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/145c979838e8d00b9e0501c6c5600f890906a88d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.73ex; height:2.009ex;" alt="{\displaystyle m_{\text{i}}}" /></span> inertzia-masa eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">a</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df0c47bb21acb94ccb65db3da51e075abc68a898" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.471ex; height:1.676ex;" alt="{\displaystyle {\boldsymbol {a}}}" /></span> indarraren eraginez sorturiko <a href="/wiki/Azelerazio" title="Azelerazio">azelerazioa</a>. Izan ere, lege hau adierazten ari da objektuaren materiaren masak erresistentzia jartzen diola bere abiadura aldatzeari, inertzia deritzon propietate bat duelako, eta kanpo-indar bat egin behar dela gorputza azeleratzeko. Horregatik, erresistentzia horren neurria adierazteko, masa horri <i>inertzia-masa</i> deritzo. Eta zenbat eta inertzia-masa handiagoa izan, hainbat eta azelerazio txikiagoa emango genioke indar berbera egitean, azelerazioa eta inertzia-masa alderantziz proportzionalak baitira. </p><p>Gure eguneroko bizitzan, inertzia-masaren efektuak errazak dira ikusten. Demagun mahai-teniseko pilota bat (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2,7{\text{ g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mo>,</mo> <mn>7</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> g</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2,7{\text{ g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b258041aadb576606a4c8f89f19abe2b9946dbc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle 2,7{\text{ g}}}" /></span>) eta petankako bola bat (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 700{\text{ g}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>700</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> g</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 700{\text{ g}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e2b7738dba44e5d1df9eb9a2bc9ed88c229c573" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.23ex; height:2.509ex;" alt="{\displaystyle 700{\text{ g}}}" /></span>) ditugula mahai gainean. Lastotxo batez pilota bakoitzari putz egingo bagenio, teniseko pilota erraz mugiaraziko genuke, baina ziurrenik petankako bola ez litzateke ezer mugituko. </p> <div class="mw-heading mw-heading3"><h3 id="Berdintzat_har_ote_daitezke_grabitazio-masa_eta_inertzia-masa?_Baliokidetza-printzipioa"><span id="Berdintzat_har_ote_daitezke_grabitazio-masa_eta_inertzia-masa.3F_Baliokidetza-printzipioa"></span>Berdintzat har ote daitezke grabitazio-masa eta inertzia-masa? Baliokidetza-printzipioa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=10" title="Aldatu atal hau: «Berdintzat har ote daitezke grabitazio-masa eta inertzia-masa? Baliokidetza-printzipioa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=10" title="Edit section's source code: Berdintzat har ote daitezke grabitazio-masa eta inertzia-masa? Baliokidetza-printzipioa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Definizio eta jatorri desberdinak dituztenez, besterik gabe ezin esan daiteke gorputz berberaren bi masa horiek berdinak direnik. Hain zuzen ere, hemeretzigarren mendeko fisikariak argitu beharreko kontu bat izan zen, ez baitzen ebidentea inertzia-masa eta grabitazio-masa gauza bera izatea. Azkenik, XX. mendearen bigarren hamarkadetan arazoaren konponbidea etorri zen Einsteinek <i><b>baliokidetza-printzipioa</b></i> adieraztean.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> Printzipio horrek dioenez, inertzia-masaren eta grabitazio-masaren artean berdintasun numerikoa dagoenean soilik da azelerazioa gorputzaren izaerarekiko independentea. Beste era batera esanda, gorputz guztiek azelerazio bera izango dute grabitazio-eremu berean, haien masa edozein izanda ere. Printzipio hau Einsteinek 1915ean proposaturiko <a href="/wiki/Erlatibitatearen_teoria" title="Erlatibitatearen teoria">erlatibitate orokorraren teoriaren</a> ardatza da. </p> <div class="mw-heading mw-heading2"><h2 id="Masaren_ezaugarri_eta_berezitasunak">Masaren ezaugarri eta berezitasunak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=11" title="Aldatu atal hau: «Masaren ezaugarri eta berezitasunak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=11" title="Edit section's source code: Masaren ezaugarri eta berezitasunak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Magnitude fisikoa denez gero, masa materiaren propietate neurgarria da. Beraz, fisikarien ikuspuntutik, lehenik eta behin masaren neurketa nola neurtzen den ulertzea eta zer ezaugarri dituen argitzea komeni da. </p> <div class="mw-heading mw-heading3"><h3 id="Masaren_neurketa">Masaren neurketa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=12" title="Aldatu atal hau: «Masaren neurketa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=12" title="Edit section's source code: Masaren neurketa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg/250px-Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg" decoding="async" width="210" height="140" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg/330px-Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg/500px-Poids_fonte_5_kg_%C3%A0_2_hg_02.jpg 2x" data-file-width="4356" data-file-height="2904" /></a><figcaption>Oraintsu arte balantzetan neurketarako erabiltzen ziren pisuak. </figcaption></figure> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Fotothek_df_n-23_0000085_Chemikalien.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Fotothek_df_n-23_0000085_Chemikalien.jpg/250px-Fotothek_df_n-23_0000085_Chemikalien.jpg" decoding="async" width="175" height="249" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Fotothek_df_n-23_0000085_Chemikalien.jpg/330px-Fotothek_df_n-23_0000085_Chemikalien.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Fotothek_df_n-23_0000085_Chemikalien.jpg/500px-Fotothek_df_n-23_0000085_Chemikalien.jpg 2x" data-file-width="563" data-file-height="800" /></a><figcaption>Antzinako balantza arrunta.</figcaption></figure><p>Masa neurtzeko metodo arruntena, balio ezaguneko beste masa batekin konparatzea da, horretarako <a href="/wiki/Balantza" title="Balantza">balantza</a> bat erabiliz. Izatez, balantzak bi gorputzen pisuak konparatzen ditu, pisua masaren eta grabitatearen azelerazioaren arteko biderkadura dela kontuan izanik, eta azelerazioa konstantetzat hartuz toki horretan. </p><div class="mw-heading mw-heading3"><h3 id="Masa-unitateak">Masa-unitateak</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=13" title="Aldatu atal hau: «Masa-unitateak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=13" title="Edit section's source code: Masa-unitateak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:CGKilogram.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b5/CGKilogram.jpg/250px-CGKilogram.jpg" decoding="async" width="210" height="154" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b5/CGKilogram.jpg/330px-CGKilogram.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b5/CGKilogram.jpg/500px-CGKilogram.jpg 2x" data-file-width="1400" data-file-height="1024" /></a><figcaption>Masaren<sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Esteka_hautsia" class="mw-redirect" title="Wikipedia:Esteka hautsia"><span title=" Data honetatik dago hautsita esteka: martxoa 2021">Betiko hautsitako esteka</span></a></i>]</span></sup> unitate modura hartzen den <a href="/wiki/Kilogramo_patroi" class="mw-redirect" title="Kilogramo patroi">kilogramo patroia</a>.</figcaption></figure> <p>Historikoki, kultura bakoitzak bere masa-unitateak izan ditu, eta sarri unitate desberdinak erabiltzen ziren produktu desberdinak neurtzeko. Izen batzuk gogoraztea baino ez dago Euskal Herrian zenbat neurri desberdin erabili izan diren gogorarazteko: <i>libra</i>, <i>ontza</i>, <i>arroa</i>, <i>kintala</i>… </p><p>Fisikan, nazioarteko SI unitate-sisteman arauturik dagoen unitatea <i><a href="/w/index.php?title=Kilogramoa&action=edit&redlink=1" class="new" title="Kilogramoa (sortu gabe)">kilogramoa</a></i> da, eta beraren sinboloa <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{kg}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kg</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{kg}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e809e6dac724f46a727a67f3fbe860b701ff7933" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.39ex; height:2.509ex;" alt="{\displaystyle {\text{kg}}}" /></span> da (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{k}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>k</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{k}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6a812c2410c835841d8efaecb4e6ea670feba9c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.227ex; height:2.176ex;" alt="{\displaystyle {\text{k}}}" /></span> hori letra xeheaz idatzita). Bere izenean multiploa adierazteko aurrizkia <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle ({\text{k = kilo-}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>k = kilo-</mtext> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ({\text{k = kilo-}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a5f0e472753ea51583f067390c176747e1559ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.464ex; height:2.843ex;" alt="{\displaystyle ({\text{k = kilo-}})}" /></span> duen oinarrizko unitate bakarra da, eta orain arte objektu patroi baten bidez definitu izan da, eta ez oinarrizko ezaugarri fisiko baten bitartez. Oraintsu arte, fisikariek <a href="/wiki/Kilogramo_patroi" class="mw-redirect" title="Kilogramo patroi">kilogramo patroi</a> horren bidez kalibratu da orain arte masa-unitatea. </p><p>Dena den, fisikariak konturatuta zeuden denborarekin patroi horren masa aldatuz zihoala, eta horregatik, 2019ko maiatzaren 20tik aurrera erabaki zuten kilogramoaren definizioa zehaztu eta arautzea, eta naturako lau oinarrizko konstante fisiko hauen bidez: <i><a href="/wiki/Planck-en_konstantea" class="mw-redirect" title="Planck-en konstantea">Planck-en konstantea</a></i> (<i>h</i>), <i><a href="/w/index.php?title=Oinarrizko_karga_elektrikoa&action=edit&redlink=1" class="new" title="Oinarrizko karga elektrikoa (sortu gabe)">oinarrizko karga elektrikoa</a></i> (<i>e</i>), <i><a href="/wiki/Boltzmannen_konstantea" title="Boltzmannen konstantea">Boltzmann-en konstantea</a></i> (<i>k</i>) eta <i><a href="/w/index.php?title=Avogadro-ren_konstantea&action=edit&redlink=1" class="new" title="Avogadro-ren konstantea (sortu gabe)">Avogadro-ren konstantea</a></i> (<i>N</i><sub>A</sub>), respectively. Definizio zehatza oso modu teknikoan finkatu da, honelaxe hain zuzen: <i>"Kilogramoa da gorputz baten pausaguneko masa-unitatea, zeinaren energia baliokidea den fotoi multzo baten energiarena, multzoko fotoi guztien frekuentzien baturak [1.356392489652×10<sup>50</sup>] hertz balio duenean".</i> Ikus daitekeenez, definizio hori oso zehatza da, baina teknikoegia, korapilatua, eta erabiltezina da fisika arrunteko problemetan. Horregatik, praktikan orain arteko definizioa erabiltzen da, betiere kilogramo patroia hartuz erreferentziatzat. </p><p>Bestalde, fisikan aztertzen diren gorputzen tamainak hain neurri desberdinetakoak izanik, eguneroko lanean beharrezkoa da kilogramoaren multiplo eta azpimultiploak erabiltzea. SI sisteman araututa daude balio bakoitzeko <a href="/wiki/Multiplo" class="mw-redirect mw-disambig" title="Multiplo">multiplo</a> eta <a href="/w/index.php?title=Azpimultiplo&action=edit&redlink=1" class="new" title="Azpimultiplo (sortu gabe)">azpimultiploei</a> dagozkien aurrizkiak, izenak eta sinboloak; horiek guztiak ondoko taulan daude adierazita. </p> <table class="wikitable"> <tbody><tr> <th colspan="7"><b>Gramoaren (g) multiplo eta azpimultiploak SI sisteman</b> </th></tr> <tr> <th colspan="3">Azpimultiploak </th> <td rowspan="12"> </td> <th colspan="3">Multiploak </th></tr> <tr> <th>Balioa </th> <th>Sinboloa </th> <th>Izena </th> <th>Balioa </th> <th>Sinboloa </th> <th>Izena </th></tr> <tr> <td>10<sup>−1</sup> g </td> <td>dg </td> <td>dezigramo </td> <td>10<sup>1</sup> g </td> <td>dag </td> <td>dekagramo </td></tr> <tr> <td>10<sup>−2</sup> g </td> <td>cg </td> <td>zentigramo </td> <td>10<sup>2</sup> g </td> <td>hg </td> <td>hektogramo </td></tr> <tr> <td>10<sup>−3</sup> g </td> <td><b>mg</b> </td> <td><b>miligramo</b> </td> <td>10<sup>3</sup> g </td> <td><b>kg</b> </td> <td><b>kilogramo</b> </td></tr> <tr> <td>10<sup>−6</sup> g </td> <td><b>µg</b> </td> <td><b>mikrogramo</b> </td> <td>10<sup>6</sup> g </td> <td>Mg </td> <td>megagramo </td></tr> <tr> <td>10<sup>−9</sup> g </td> <td><b>ng</b> </td> <td><b>nanogramo</b> </td> <td>10<sup>9</sup> g </td> <td>Gg </td> <td>gigagramo </td></tr> <tr> <td>10<sup>−12</sup> g </td> <td><b>pg</b> </td> <td><b>pikogramo</b> </td> <td>10<sup>12</sup> g </td> <td>Tg </td> <td>teragramo </td></tr> <tr> <td>10<sup>−15</sup> g </td> <td>fg </td> <td>femtogramo </td> <td>10<sup>15</sup> g </td> <td>Pg </td> <td>petagramo </td></tr> <tr> <td>10<sup>−18</sup> g </td> <td>ag </td> <td>atogramo </td> <td>10<sup>18</sup> g </td> <td>Eg </td> <td>exagramo </td></tr> <tr> <td>10<sup>−21</sup> g </td> <td>zg </td> <td>zeptogramo </td> <td>10<sup>21</sup> g </td> <td>Zg </td> <td>zetagramo </td></tr> <tr> <td>10<sup>−24</sup> g </td> <td>yg </td> <td>joktogramo </td> <td>10<sup>24</sup> g </td> <td>Yg </td> <td>jotagramo </td></tr> <tr> <td colspan="7">Gehien erabitzen diren aurrizkiak letrakera lodiz adierazi dira. </td></tr></tbody></table> <p>Bestalde, arlo zientifikoan ohikoa da, baita ere, <i><a href="/wiki/Masa_atomikoaren_unitate" title="Masa atomikoaren unitate">masa atomikoaren unitatea</a></i> erabiltzea. Izatez, <a href="/wiki/Oinarrizko_partikula" title="Oinarrizko partikula">oinarrizko partikulen</a> arloko espezialistek unitate berbera erabiltzen dute bai masa eta bai energia ere adierazteko, kontuan izanik Einsteinen <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=mc^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=mc^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f73dbd37a0cac34406ee89057fa1b36a1e6a18e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.976ex; height:2.676ex;" alt="{\displaystyle E=mc^{2}}" /></span> formula ospetsua; oro har, unitate hori <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{elektronvol}}/c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>elektronvol</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{elektronvol}}/c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73fd292db7cb94c5ad902ba69add900a7f202752" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.471ex; height:3.176ex;" alt="{\displaystyle {\text{elektronvol}}/c^{2}}" /></span> unitatearen multiplo bat da, eta <a href="/wiki/Partikula-azeleragailu" title="Partikula-azeleragailu">partikula-azeleragailu</a>en arloan erabili beharrekoa bihurtu da praktikan, energiaren forma guztietan, hots, masa, energia zinetikoa lotura-energia eta argia aztertzean.  Masa atomikoaren unitatearen balioa hauxe da kilogramotan: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{1,660 538 921 (73)}}\times 10^{-27}{\text{ kg}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>1,660 538 921 (73)</mtext> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>27</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mtext> kg</mtext> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{1,660 538 921 (73)}}\times 10^{-27}{\text{ kg}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ea3cdf5209c118200ceb1a5603be6cb678982a1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.085ex; height:3.176ex;" alt="{\displaystyle {\text{1,660 538 921 (73)}}\times 10^{-27}{\text{ kg}}.}" /></span> </p> <div class="mw-heading mw-heading3"><h3 id="Masaren_ezaugarriak">Masaren ezaugarriak</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=14" title="Aldatu atal hau: «Masaren ezaugarriak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=14" title="Edit section's source code: Masaren ezaugarriak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Mekanika newtondarrean masak zenbait propietate ditu: </p> <ul><li><i>Batukortasuna</i>. Gorputz baten masa bere parteen masen batura da.</li> <li><i>Aldaezintasuna</i>. Gorputz baten masak ez du neurtua den <a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">erreferentzia-sistema</a>rekiko menpekotasuna; hau da, balio berbera du edozein erreferentzia-sistematan.</li> <li><i>Inertzia</i>. Masa orok erresistentzia jartzen dio une bakoitzean daukan abiadura aldatzeari, aldaketa hori moduluz zein norabidez gertatzen dela. Abiadura aldatzeko, gorputzak kanpo-indar baten eragina jasan behar du, eta horrek azelerazioa sortuko du, zeina masaren balioaren alderantziz proportzionala izango den.</li> <li><i>Pisua</i>. Edozein bi masadun gorputzek elkar erakartzen dute bien masen proportzionala den indar batez</li> <li><i>Kontserbazioa</i>. Gorputz jakin baten masa kontserbatu egiten da edozein prozesu fisiko edo kimikotan.</li></ul> <p>Halere, fisika modernoak erakutsi du propietate horiek mekanika klasikoaren esperientzia arrunteko egoeretan baino ez direla betetzen, eta mekanika erlatibistan eta fisika kuantikoan ez direla zertan bete. </p> <div class="mw-heading mw-heading3"><h3 id="Masaren_eta_mekanikako_beste_magnitude_batzuen_arteko_erlazioa">Masaren eta mekanikako beste magnitude batzuen arteko erlazioa <b> </b></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=15" title="Aldatu atal hau: «Masaren eta mekanikako beste magnitude batzuen arteko erlazioa  »" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=15" title="Edit section's source code: Masaren eta mekanikako beste magnitude batzuen arteko erlazioa  "><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Masa mekanikako beste bi magnitude garrantzitsuren sustraian barneratuta dago: </p> <ul><li><i><a href="/wiki/Momentu_lineala" class="mw-redirect" title="Momentu lineala">Momentu lineala</a></i> (edo <i><a href="/w/index.php?title=Higidura-kantitatea&action=edit&redlink=1" class="new" title="Higidura-kantitatea (sortu gabe)">higidura-kantitatea</a></i> ). Magnitude bektorial bat da, gorputzaren masaren eta abiadura bektorearen arteko biderkadura gisa definitzen dena:</li></ul> <p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {p}}=m{\boldsymbol {v}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">p</mi> </mrow> <mo>=</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">v</mi> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {p}}=m{\boldsymbol {v}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/96c081943031dfa424d96fd458d74ae8b2e4a735" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.052ex; width:8.553ex; height:2.009ex;" alt="{\displaystyle {\boldsymbol {p}}=m{\boldsymbol {v}}.}" /></span> </p> <ul><li><i><a href="/wiki/Energia_zinetikoa" class="mw-redirect" title="Energia zinetikoa">Energia zinetikoa</a>.</i> Magnitude eskalarra da, gorputzaren masaren eta abiaduraren moduluaren karratuaren proportzionala dena:</li></ul> <p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{\text{k}}={\frac {1}{2}}mv^{2}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>k</mtext> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>m</mi> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\text{k}}={\frac {1}{2}}mv^{2}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ea528b71a10842a426decbd22527b9ba2c15551" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.782ex; height:5.176ex;" alt="{\displaystyle E_{\text{k}}={\frac {1}{2}}mv^{2}.}" /></span> </p> <div class="mw-heading mw-heading3"><h3 id="Masa_eta_substantzia-kantitatea">Masa eta substantzia-kantitatea</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=16" title="Aldatu atal hau: «Masa eta substantzia-kantitatea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=16" title="Edit section's source code: Masa eta substantzia-kantitatea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i><b>Substantzia-kantitatea</b></i> izenaz ezagutzen den magnitude fisikoak era diskretuan zenbatzen du gorputz batean mota bereko zenbat atomo, molekula edo partikula dauden; batzuetan <i>substantzia-kopurua</i> ere esaten zaio. Nazioarteko SI unitate-sisteman substantzia-kantitateari dagokion unitatea <i><b><a href="/wiki/Mol" title="Mol">mol</a></b></i> izenekoa da. </p><p>Definizioz, substantzia jakin baten mol batean dauden oinarrizko unitateen —atomo, molekula, ioi, elektroi, erradikal edo bestelako partikula edo partikula-taldeen— kopurua konstantea da, partikula materiala edozein izanik ere. Kopuru horri <i><a href="/wiki/Avogadroren_zenbakia" class="mw-redirect" title="Avogadroren zenbakia">Avogadro-ren zenbakia</a></i> deritzo eta balio hau du: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{1 mol = 6,022 141 29 (30)}}\times 10^{23}{\text{ substantzia-unitate}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>1 mol = 6,022 141 29 (30)</mtext> </mrow> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mtext> substantzia-unitate</mtext> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{1 mol = 6,022 141 29 (30)}}\times 10^{23}{\text{ substantzia-unitate}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e269d4daa8d37d03cd02b887b4161ec19b1efc9" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:53.246ex; height:3.176ex;" alt="{\displaystyle {\text{1 mol = 6,022 141 29 (30)}}\times 10^{23}{\text{ substantzia-unitate}}.}" /></span> </p><p><i>Substantzia-kantitatea</i> deritzon kontzeptua ez da nahastu behar <i>masa</i> kontzeptuarekin. Halere, biak elkarrekin erlazionaturik daude kontzeptualki era honetan: mota bereko atomo eta molekulen mol bati dagokion masari <i><a href="/wiki/Masa_molar" title="Masa molar">masa molarra</a></i> deritzo, eta hori aldatu egiten da materia batetik bestera. Ostera, <i>masa</i> kontzeptuak mota guztietako materiei dagokie, eta bertan kontuan hartzen dira atomo guztien masak, edonolakoak izanik ere. </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Zeigerschnellwaage_300_kg.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/01/Zeigerschnellwaage_300_kg.jpg/250px-Zeigerschnellwaage_300_kg.jpg" decoding="async" width="180" height="249" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/01/Zeigerschnellwaage_300_kg.jpg/330px-Zeigerschnellwaage_300_kg.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/01/Zeigerschnellwaage_300_kg.jpg/500px-Zeigerschnellwaage_300_kg.jpg 2x" data-file-width="1041" data-file-height="1441" /></a><figcaption>Kilogramotan graduaturiko dinamometroa.</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Masa_eta_pisua">Masa eta pisua</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=17" title="Aldatu atal hau: «Masa eta pisua»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=17" title="Edit section's source code: Masa eta pisua"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Mitchell_Studies_Map_-_GPN-2000-001146.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Mitchell_Studies_Map_-_GPN-2000-001146.jpg/250px-Mitchell_Studies_Map_-_GPN-2000-001146.jpg" decoding="async" width="220" height="221" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Mitchell_Studies_Map_-_GPN-2000-001146.jpg/330px-Mitchell_Studies_Map_-_GPN-2000-001146.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Mitchell_Studies_Map_-_GPN-2000-001146.jpg/500px-Mitchell_Studies_Map_-_GPN-2000-001146.jpg 2x" data-file-width="3000" data-file-height="3012" /></a><figcaption>Ilargiko grabitatea Lurrekoa baino sei bat aldiz txikiagoa da </figcaption></figure> <p>Hizkera arruntean “masa” eta “pisu” kontzeptuak nahastu egiten dira sarri. Nahasketa horren ondorioz, dinamometroen graduazioa kilogramotan eman ohi da. Zehatzago hitz eginez, malgukidun dinamometroetan <i>pisua</i> —eta ez <i>masa</i>— neurtzen dela esan beharko genuke gorputzak jasandako grabitatearen indarrak luzatzen baitu neurgailua. Arrazoi horrengatik teknologia mekanikoaren arloan pisuaren unitate <i>kilogramo-indar</i> edo <i>kilopond</i> deitu izan zaio, nahiz eta praktikan laburdura eginez kilogramo hitza erabiltzen zen, huts-hutsean. </p><p>Fisikako hizkeran, “pisu” hitzak grabitateak masa grabitazionalean egiten duen indarra adierazten du, eta beraz, <i>newton</i> izeneko unitatetan neurtzen da (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{N}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>N</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{N}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ecb64aa46d7a3fd6c0a087e157506d8ec218d202" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle {\text{N}}}" /></span> sinboloa). Malguki batez funtzionatzen duen dinamometroaren kasuan, pisuak bertikalaren norabidea du, eta tokiko grabitatearen balioaren araberakoa da. Adibidez, Parisen <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g=9,81{\text{ N/kg}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> <mo>=</mo> <mn>9</mn> <mo>,</mo> <mn>81</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> N/kg</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g=9,81{\text{ N/kg}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3730175658e5fda4832c2add6f735990aa5093d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.612ex; height:2.843ex;" alt="{\displaystyle g=9,81{\text{ N/kg}}}" /></span> izanik, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 10{\text{ kg}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> kg</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 10{\text{ kg}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5cffa969eb543239c1cb75d4622b5ced3553e8ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.296ex; height:2.509ex;" alt="{\displaystyle 10{\text{ kg}}}" /></span>-ko gorputz baten pisua <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 98,1{\text{ N}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>98</mn> <mo>,</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> N</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 98,1{\text{ N}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0dec4de87596af44c8dc413dcdfc8f3a08262963" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.845ex; height:2.509ex;" alt="{\displaystyle 98,1{\text{ N}}}" /></span> da. Baina <a href="/wiki/Mont_Blanc" title="Mont Blanc">Mont Blan</a>c mendiaren gailurrean pisu txikiagoa du altuerarekin Lurraren zentrorako distantzia handiagoa izatean <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3556280e66fe2c0d0140df20935a6f057381d77" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.116ex; height:2.009ex;" alt="{\displaystyle g}" /></span> grabitatearen balioa txikiagoa baita. </p><p>Bestalde, <a href="/wiki/Ilargia" title="Ilargia">Ilargi</a>ko grabitatea Lurrekoa baino sei bat aldiz txikiagoa denez, hura zapaldu zuten astronauten pisua ere Lurrean zutena baino sei bat aldiz txikiagoa izan zen bertan. </p> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=18" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=18" title="Edit section's source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text"><span class="citation"> </span> <span class="citation" id="CITEREFGurtubai">Gurtubai, Idoia G.. <a rel="nofollow" class="external text" href="https://zthiztegia.elhuyar.eus/terminoa/eu/masa"><i>Zientzia eta Teknologiaren Hiztegi Entziklopedikoa (Elhuyar taldeak egina). </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2019-07-18)</small></span></span>.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://www.bipm.org/en/publications/si-brochure/kilogram.html"><i>BIPM - kilogram. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-3"><a href="#cite_ref-3">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFJammer1997-01-01">Jammer, Max.  (1997-01-01). <a rel="nofollow" class="external text" href="https://books.google.es/books?id=lYvz0_8aGsMC"><i>Concepts of Mass in Classical and Modern Physics. </i></a> Courier Corporation <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-0-486-29998-3" title="Berezi:BookSources/978-0-486-29998-3">978-0-486-29998-3</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFByrne2018">Byrne, Christopher.  (2018). <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/1046084489"><i>Aristotle's science of matter and motion. </i></a> <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-1-4875-1916-2" title="Berezi:BookSources/978-1-4875-1916-2">978-1-4875-1916-2</a>. <a href="/wiki/PubMed_Central" class="mw-redirect" title="PubMed Central">PMC</a> <a rel="nofollow" class="external text" href="http://www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=1046084489">1046084489</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation"> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Galileo%27s_Leaning_Tower_of_Pisa_experiment&oldid=809396105"><i>Galileo's Leaning Tower of Pisa experiment. </i></a> 2017-11-08 <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-6"><a href="#cite_ref-6">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFCooper1935">Cooper, Lane.  (1935). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=uKA4AAAAIAAJ&newbks=0"><i>Aristotle, Galileo, and the Tower of Pisa. </i></a> Cornell University Press <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-0-8046-1519-8" title="Berezi:BookSources/978-0-8046-1519-8">978-0-8046-1519-8</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-7"><a href="#cite_ref-7">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFDrake1978">Drake, Stillman.  (1978). <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/3770650"><i>Galileo at work : his scientific biography. </i></a> University of Chicago Press <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/0-226-16226-5" title="Berezi:BookSources/0-226-16226-5">0-226-16226-5</a>. <a href="/wiki/PubMed_Central" class="mw-redirect" title="PubMed Central">PMC</a> <a rel="nofollow" class="external text" href="http://www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=3770650">3770650</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-8"><a href="#cite_ref-8">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFVan_Gorp2007">Van Gorp, Lynn.  (2007). <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/769343471"><i>Antoine Lavoisier : Founder of Modern Chemistry.. </i></a> Shell Education <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-1-4333-9111-8" title="Berezi:BookSources/978-1-4333-9111-8">978-1-4333-9111-8</a>. <a href="/wiki/PubMed_Central" class="mw-redirect" title="PubMed Central">PMC</a> <a rel="nofollow" class="external text" href="http://www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=769343471">769343471</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-9"><a href="#cite_ref-9">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"><a rel="nofollow" class="external text" href="https://www.hiru.eus/eu/quimica/leyes-de-las-combinaciones-quimicas">«Konbinazio kimikoen legeak - hiru»</a> <i>www.hiru.eus</i> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2023-05-07)</small></span></span>.</span> </li> <li id="cite_note-10"><a href="#cite_ref-10">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://zthiztegia.elhuyar.eus/terminoa/eu/baliokidetza-printzipio"><i>Zientzia eta Teknologiaren Hiztegi Entziklopedikoa. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2019-09-19)</small></span></span>.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Ikus,_gainera"><span id="Ikus.2C_gainera"></span>Ikus, gainera</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=19" title="Aldatu atal hau: «Ikus, gainera»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=19" title="Edit section's source code: Ikus, gainera"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li> <li><a href="/wiki/Pisu" title="Pisu">Pisu</a></li> <li><a href="/wiki/Bolumen_(espazioa)" title="Bolumen (espazioa)">Bolumen</a></li> <li><a href="/wiki/Dentsitate_(fisika)" title="Dentsitate (fisika)">Dentsitate</a></li> <li><a href="/wiki/Grabitazio_unibertsalaren_legea" title="Grabitazio unibertsalaren legea">Grabitazio unibertsalaren legea</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Masa&veaction=edit&section=20" title="Aldatu atal hau: «Kanpo estekak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Masa&action=edit&section=20" title="Edit section's source code: Kanpo estekak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span> <a rel="nofollow" class="external text" href="http://plato.stanford.edu/entries/equivME/">Masaren eta energiaren arteko baliokidetza</a></li></ul> <div style="clear:both;"></div><style data-mw-deduplicate="TemplateStyles:r7786466">.mw-parser-output .mw-authority-control{margin-top:1.5em}.mw-parser-output .mw-authority-control .navbox hr:last-child{display:none}.mw-parser-output .mw-authority-control .navbox+.mw-mf-linked-projects{display:none}.mw-parser-output .mw-authority-control,.mw-parser-output .mw-mf-linked-projects{border:1px solid #a2a9b1;font-size:88%}.mw-parser-output .mw-authority-control .mw-mf-linked-projects ul 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href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q11423" class="extiw" title="wikidata:Q11423">Q11423</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Mass_(physical_property)">Mass (physical property)</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&search=%22Q11423%22">Q11423</a></span></span></li></ul> </div></div> <p><br /> </p> <table class="wikitable"> <tbody><tr> <th colspan="2">Oinarrizko magnitude fisikoak eta ohiko unitate elkartuak </th></tr> <tr> <th>luzera (L) </th> <td><b>masa-unitateak</b>: <b>metro (m)</b>, zentimetro (cm), milimetro (mm), kilometro (km), mikrometro ((μm), nanometro (nm), ångström (Å), argi-urte (al), parsec (pc), unitate astronomikoa (ua) </td></tr> <tr> <th>masa (M) </th> <td>masa-unitateak: <b>kilogramo (kg)</b>, gramo (g), libra (lb), ontza (oz), tona (t) </td></tr> <tr> <th>denbora (T) </th> <td>denbora-unitatea: <b>segundo (s)</b> </td></tr> <tr> <th>intentsitate elektrikoa (I) </th> <td>intentsitate elektrikoaren unitatea: <b>ampere (A)</b> </td></tr> <tr> <th>tenperatura termodinamikoa (Θ) </th> <td>tenperatura-unitateak: <b>kelvin (K)</b>, Celsius gradua (°C), Fahrenheit gradua (°F) </td></tr> <tr> <th>substantzia-kantitatea (N) </th> <td>substantzia-kantitatearen unitatea: <b>mol (mol)</b> </td></tr> <tr> <th>argi-intentsitatea (J) </th> <td>argi-intentsitatearen unitateak: <b>kandela (cd)</b>, bujia </td></tr> <tr> <td colspan="2">Nazioarteko SI unitate-sistema <b>·</b> SI sistemako oinarrizko unitateak <b>·</b> Analisi dimentsionala <hr /><small><b>Oharra.</b> SI sistemako oinarrizko magnitudeak eta horien unitateak letrakera lodiz idatzi dira.</small> </td></tr></tbody></table>    </div><script>(RLQ=window.RLQ||[]).push(function(){mw.log.warn("Gadget \"ErrefAurrebista\" was not 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