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Dit is echter niet verplicht." class=""><span>Account aanmaken</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Speciaal:Aanmelden&returnto=Massa+%28natuurkunde%29" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o" class=""><span>Aanmelden</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Meer opties" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Persoonlijke hulpmiddelen" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Persoonlijke hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Gebruikersmenu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_nl.wikipedia.org&uselang=nl"><span>Doneren</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:GebruikerAanmaken&returnto=Massa+%28natuurkunde%29" title="Registreer u vooral en meld u aan. 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accesskey="y"><span>Bijdragen</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciaal:MijnOverleg" title="Overlegpagina van de anonieme gebruiker van dit IP-adres [n]" accesskey="n"><span>Overleg</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Inhoud" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header 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">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</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">Top</div> </a> </li> <li id="toc-Massa_en_hoeveelheid_materie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Massa_en_hoeveelheid_materie"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Massa en hoeveelheid materie</span> </div> </a> <ul id="toc-Massa_en_hoeveelheid_materie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Massa_en_traagheid" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Massa_en_traagheid"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Massa en traagheid</span> </div> </a> <ul id="toc-Massa_en_traagheid-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Massa_en_zwaartekracht" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Massa_en_zwaartekracht"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Massa en zwaartekracht</span> </div> </a> <button aria-controls="toc-Massa_en_zwaartekracht-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>Massa en zwaartekracht-subkopje inklappen</span> </button> <ul id="toc-Massa_en_zwaartekracht-sublist" class="vector-toc-list"> <li id="toc-Trage_massa,_passieve_en_actieve_zware_massa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Trage_massa,_passieve_en_actieve_zware_massa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Trage massa, passieve en actieve zware massa</span> </div> </a> <ul id="toc-Trage_massa,_passieve_en_actieve_zware_massa-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Massa_en_energie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Massa_en_energie"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Massa en energie</span> </div> </a> <ul id="toc-Massa_en_energie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Massa_en_gewicht" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Massa_en_gewicht"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Massa en gewicht</span> </div> </a> <ul id="toc-Massa_en_gewicht-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Rustmassa_en_relativistische_massa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Rustmassa_en_relativistische_massa"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Rustmassa en relativistische massa</span> </div> </a> <ul id="toc-Rustmassa_en_relativistische_massa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Molecuulmassa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Molecuulmassa"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Molecuulmassa</span> </div> </a> <ul id="toc-Molecuulmassa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Meting" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Meting"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Meting</span> </div> </a> <ul id="toc-Meting-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Eenheden" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Eenheden"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Eenheden</span> </div> </a> <ul id="toc-Eenheden-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="Inhoud" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Massa (natuurkunde)</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="Ga naar een artikel in een andere taal. Beschikbaar in 162 talen" > <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-162" 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">162 talen</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 – Afrikaans" lang="af" hreflang="af" data-title="Massa" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" 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) – Zwitserduits" lang="gsw" hreflang="gsw" data-title="Masse (Physik)" data-language-autonym="Alemannisch" data-language-local-name="Zwitserduits" 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 – Amhaars" lang="am" hreflang="am" data-title="ግዝፈት" data-language-autonym="አማርኛ" data-language-local-name="Amhaars" 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 – Aragonees" lang="an" hreflang="an" data-title="Masa" data-language-autonym="Aragonés" data-language-local-name="Aragonees" 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 – Angika" lang="anp" hreflang="anp" data-title="संहति" data-language-autonym="अंगिका" data-language-local-name="Angika" 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 – Arabisch" lang="ar" hreflang="ar" data-title="كتلة" data-language-autonym="العربية" data-language-local-name="Arabisch" 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 – Marokkaans Arabisch" lang="ary" hreflang="ary" data-title="كتلة" data-language-autonym="الدارجة" data-language-local-name="Marokkaans Arabisch" 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 – Egyptisch Arabisch" lang="arz" hreflang="arz" data-title="كتله" data-language-autonym="مصرى" data-language-local-name="Egyptisch Arabisch" 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 – Assamees" lang="as" hreflang="as" data-title="ভৰ" data-language-autonym="অসমীয়া" data-language-local-name="Assamees" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast badge-Q17437796 badge-featuredarticle mw-list-item" title="uitgelicht artikel"><a href="https://ast.wikipedia.org/wiki/Masa" title="Masa – Asturisch" lang="ast" hreflang="ast" data-title="Masa" data-language-autonym="Asturianu" data-language-local-name="Asturisch" 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) – Azerbeidzjaans" lang="az" hreflang="az" data-title="Kütlə (fiziki kəmiyyət)" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" 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 – Basjkiers" lang="ba" hreflang="ba" data-title="Масса" data-language-autonym="Башҡортса" data-language-local-name="Basjkiers" 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 – Beiers" lang="bar" hreflang="bar" data-title="Massn" data-language-autonym="Boarisch" data-language-local-name="Beiers" 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 – Samogitisch" lang="sgs" hreflang="sgs" data-title="Masė" data-language-autonym="Žemaitėška" data-language-local-name="Samogitisch" 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 – Belarussisch" lang="be" hreflang="be" data-title="Маса" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" 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) – Bataviaans" lang="bew" hreflang="bew" data-title="Ombolan (èlmu tabèat)" data-language-autonym="Betawi" data-language-local-name="Bataviaans" 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 – Bulgaars" lang="bg" hreflang="bg" data-title="Маса" data-language-autonym="Български" data-language-local-name="Bulgaars" 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 – Bengaals" lang="bn" hreflang="bn" data-title="ভর" data-language-autonym="বাংলা" data-language-local-name="Bengaals" 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 – Bretons" lang="br" hreflang="br" data-title="Mas" data-language-autonym="Brezhoneg" data-language-local-name="Bretons" 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 – Bosnisch" lang="bs" hreflang="bs" data-title="Masa" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" 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 – Catalaans" lang="ca" hreflang="ca" data-title="Massa" data-language-autonym="Català" data-language-local-name="Catalaans" 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 – Cherokee" lang="chr" hreflang="chr" data-title="ᎦᏟᏌᏅ ᎤᎪᏗᏗ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="Cherokee" 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 – Soranî" lang="ckb" hreflang="ckb" data-title="بارستە" data-language-autonym="کوردی" data-language-local-name="Soranî" 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 – Tsjechisch" lang="cs" hreflang="cs" data-title="Hmotnost" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" 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 – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Масса" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" 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 – Welsh" lang="cy" hreflang="cy" data-title="Màs" data-language-autonym="Cymraeg" data-language-local-name="Welsh" 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) – Deens" lang="da" hreflang="da" data-title="Masse (fysik)" data-language-autonym="Dansk" data-language-local-name="Deens" 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) – Duits" lang="de" hreflang="de" data-title="Masse (Physik)" data-language-autonym="Deutsch" data-language-local-name="Duits" 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 – Grieks" lang="el" hreflang="el" data-title="Μάζα" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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 – Engels" lang="en" hreflang="en" data-title="Mass" data-language-autonym="English" data-language-local-name="Engels" 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 – Esperanto" lang="eo" hreflang="eo" data-title="Maso" data-language-autonym="Esperanto" data-language-local-name="Esperanto" 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 – Spaans" lang="es" hreflang="es" data-title="Masa" data-language-autonym="Español" data-language-local-name="Spaans" 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 – Estisch" lang="et" hreflang="et" data-title="Mass" data-language-autonym="Eesti" data-language-local-name="Estisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Masa" title="Masa – Baskisch" lang="eu" hreflang="eu" data-title="Masa" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Massa" title="Massa – Extremeens" lang="ext" hreflang="ext" data-title="Massa" data-language-autonym="Estremeñu" data-language-local-name="Extremeens" 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) – Perzisch" lang="fa" hreflang="fa" data-title="جرم (فیزیک)" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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 – Fins" lang="fi" hreflang="fi" data-title="Massa" data-language-autonym="Suomi" data-language-local-name="Fins" 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-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Masse" title="Masse – Frans" lang="fr" hreflang="fr" data-title="Masse" data-language-autonym="Français" data-language-local-name="Frans" 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 – Noord-Fries" lang="frr" hreflang="frr" data-title="Mase" data-language-autonym="Nordfriisk" data-language-local-name="Noord-Fries" 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) – Fries" lang="fy" hreflang="fy" data-title="Massa (natuerkunde)" data-language-autonym="Frysk" data-language-local-name="Fries" 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 – Iers" lang="ga" hreflang="ga" data-title="Mais" data-language-autonym="Gaeilge" data-language-local-name="Iers" 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 – Ganyu" lang="gan" hreflang="gan" data-title="質量" data-language-autonym="贛語" data-language-local-name="Ganyu" 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 – Schots-Gaelisch" lang="gd" hreflang="gd" data-title="Tomad" data-language-autonym="Gàidhlig" data-language-local-name="Schots-Gaelisch" 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 – Galicisch" lang="gl" hreflang="gl" data-title="Masa" data-language-autonym="Galego" data-language-local-name="Galicisch" 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 – Guaraní" lang="gn" hreflang="gn" data-title="Mása" data-language-autonym="Avañe'ẽ" data-language-local-name="Guaraní" 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 – Gujarati" lang="gu" hreflang="gu" data-title="દ્રવ્યમાન" data-language-autonym="ગુજરાતી" data-language-local-name="Gujarati" 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 – Manx" lang="gv" hreflang="gv" data-title="Glout" data-language-autonym="Gaelg" data-language-local-name="Manx" 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" lang="hak" hreflang="hak" data-title="Chṳt-liông" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka" 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 – Hebreeuws" lang="he" hreflang="he" data-title="מסה" data-language-autonym="עברית" data-language-local-name="Hebreeuws" 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 – Hindi" lang="hi" hreflang="hi" data-title="द्रव्यमान" data-language-autonym="हिन्दी" data-language-local-name="Hindi" 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 – Fijisch Hindi" lang="hif" hreflang="hif" data-title="Mass" data-language-autonym="Fiji Hindi" data-language-local-name="Fijisch 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 – Kroatisch" lang="hr" hreflang="hr" data-title="Masa" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" 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 – Haïtiaans Creools" lang="ht" hreflang="ht" data-title="Mas inèsi" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans Creools" 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 – Hongaars" lang="hu" hreflang="hu" data-title="Tömeg" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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 – Armeens" lang="hy" hreflang="hy" data-title="Զանգված" data-language-autonym="Հայերեն" data-language-local-name="Armeens" 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 – Indonesisch" lang="id" hreflang="id" data-title="Massa" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" 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 – Interlingue" lang="ie" hreflang="ie" data-title="Masse" data-language-autonym="Interlingue" data-language-local-name="Interlingue" 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 – Iloko" lang="ilo" hreflang="ilo" data-title="Masa" data-language-autonym="Ilokano" data-language-local-name="Iloko" 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 – Ido" lang="io" hreflang="io" data-title="Maso" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is badge-Q17437798 badge-goodarticle mw-list-item" title="goed artikel"><a href="https://is.wikipedia.org/wiki/Massi" title="Massi – IJslands" lang="is" hreflang="is" data-title="Massi" data-language-autonym="Íslenska" data-language-local-name="IJslands" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it badge-Q17437796 badge-featuredarticle mw-list-item" title="uitgelicht artikel"><a href="https://it.wikipedia.org/wiki/Massa_(fisica)" title="Massa (fisica) – Italiaans" lang="it" hreflang="it" data-title="Massa (fisica)" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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 – Japans" lang="ja" hreflang="ja" data-title="質量" data-language-autonym="日本語" data-language-local-name="Japans" 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 – Jamaicaans Creools" lang="jam" hreflang="jam" data-title="Mas" data-language-autonym="Patois" data-language-local-name="Jamaicaans Creools" 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 – Javaans" lang="jv" hreflang="jv" data-title="Massa" data-language-autonym="Jawa" data-language-local-name="Javaans" 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 – Georgisch" lang="ka" hreflang="ka" data-title="მასა" data-language-autonym="ქართული" data-language-local-name="Georgisch" 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 – Kabylisch" lang="kab" hreflang="kab" data-title="Takura" data-language-autonym="Taqbaylit" data-language-local-name="Kabylisch" 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 – Kazachs" lang="kk" hreflang="kk" data-title="Масса" data-language-autonym="Қазақша" data-language-local-name="Kazachs" 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 – Khmer" lang="km" hreflang="km" data-title="ម៉ាស" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Khmer" 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 – Koreaans" lang="ko" hreflang="ko" data-title="질량" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ksh mw-list-item"><a href="https://ksh.wikipedia.org/wiki/Masse" title="Masse – Kölsch" lang="ksh" hreflang="ksh" data-title="Masse" data-language-autonym="Ripoarisch" data-language-local-name="Kölsch" 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 – Koerdisch" lang="ku" hreflang="ku" data-title="Bariste" data-language-autonym="Kurdî" data-language-local-name="Koerdisch" 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 – Kirgizisch" lang="ky" hreflang="ky" data-title="Масса" data-language-autonym="Кыргызча" data-language-local-name="Kirgizisch" 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 – Latijn" lang="la" hreflang="la" data-title="Massa" data-language-autonym="Latina" data-language-local-name="Latijn" 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) – Luxemburgs" lang="lb" hreflang="lb" data-title="Mass (Physik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxemburgs" 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 – Limburgs" lang="li" hreflang="li" data-title="Massa" data-language-autonym="Limburgs" data-language-local-name="Limburgs" 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 – Lombardisch" lang="lmo" hreflang="lmo" data-title="Massa" data-language-autonym="Lombard" data-language-local-name="Lombardisch" 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 – Laotiaans" lang="lo" hreflang="lo" data-title="ມະຫາຊົນ" data-language-autonym="ລາວ" data-language-local-name="Laotiaans" 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 – Litouws" lang="lt" hreflang="lt" data-title="Masė" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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 – Lets" lang="lv" hreflang="lv" data-title="Masa" data-language-autonym="Latviešu" data-language-local-name="Lets" 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 – Moksja" lang="mdf" hreflang="mdf" data-title="Сталмось" data-language-autonym="Мокшень" data-language-local-name="Moksja" 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 – Malagassisch" lang="mg" hreflang="mg" data-title="Lanja" data-language-autonym="Malagasy" data-language-local-name="Malagassisch" 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 – Minangkabau" lang="min" hreflang="min" data-title="Massa" data-language-autonym="Minangkabau" data-language-local-name="Minangkabau" 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) – Macedonisch" lang="mk" hreflang="mk" data-title="Маса (физика)" data-language-autonym="Македонски" data-language-local-name="Macedonisch" 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 – Malayalam" lang="ml" hreflang="ml" data-title="പിണ്ഡം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" 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 – Mongools" lang="mn" hreflang="mn" data-title="Масс" data-language-autonym="Монгол" data-language-local-name="Mongools" 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 – Marathi" lang="mr" hreflang="mr" data-title="वस्तुमान" data-language-autonym="मराठी" data-language-local-name="Marathi" 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 – Maleis" lang="ms" hreflang="ms" data-title="Jisim" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" 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 – Birmaans" lang="my" hreflang="my" data-title="ဒြပ်ထု" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Birmaans" 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) – Nedersaksisch" lang="nds" hreflang="nds" data-title="Masse (Physik)" data-language-autonym="Plattdüütsch" data-language-local-name="Nedersaksisch" 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 – Nepalees" lang="ne" hreflang="ne" data-title="पिण्ड" data-language-autonym="नेपाली" data-language-local-name="Nepalees" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Masse" title="Masse – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Masse" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" 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 – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Masse" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" 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 – Occitaans" lang="oc" hreflang="oc" data-title="Massa" data-language-autonym="Occitan" data-language-local-name="Occitaans" 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 – Afaan Oromo" lang="om" hreflang="om" data-title="Hanga" data-language-autonym="Oromoo" data-language-local-name="Afaan Oromo" 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 – Punjabi" lang="pa" hreflang="pa" data-title="ਪੁੰਜ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" 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) – Pools" lang="pl" hreflang="pl" data-title="Masa (fizyka)" data-language-autonym="Polski" data-language-local-name="Pools" 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) – Piëmontees" lang="pms" hreflang="pms" data-title="Massa (fìsica)" data-language-autonym="Piemontèis" data-language-local-name="Piëmontees" 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 – Pasjtoe" lang="ps" hreflang="ps" data-title="کتله" data-language-autonym="پښتو" data-language-local-name="Pasjtoe" 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 – Portugees" lang="pt" hreflang="pt" data-title="Massa" data-language-autonym="Português" data-language-local-name="Portugees" 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 – Quechua" lang="qu" hreflang="qu" data-title="Wisnu" data-language-autonym="Runa Simi" data-language-local-name="Quechua" 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 – Roemeens" lang="ro" hreflang="ro" data-title="Masă" data-language-autonym="Română" data-language-local-name="Roemeens" class="interlanguage-link-target"><span>Română</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 – Russisch" lang="ru" hreflang="ru" data-title="Масса" data-language-autonym="Русский" data-language-local-name="Russisch" 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 – Roetheens" lang="rue" hreflang="rue" data-title="Маса" data-language-autonym="Русиньскый" data-language-local-name="Roetheens" 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) – Sanskriet" lang="sa" hreflang="sa" data-title="संहतिः (भौतविज्ञानम्)" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskriet" 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 – Jakoets" lang="sah" hreflang="sah" data-title="Маасса" data-language-autonym="Саха тыла" data-language-local-name="Jakoets" 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 – Siciliaans" lang="scn" hreflang="scn" data-title="Massa" data-language-autonym="Sicilianu" data-language-local-name="Siciliaans" 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 – Schots" lang="sco" hreflang="sco" data-title="Mass" data-language-autonym="Scots" data-language-local-name="Schots" 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 – Sindhi" lang="sd" hreflang="sd" data-title="ڪميت" data-language-autonym="سنڌي" data-language-local-name="Sindhi" 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 – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Masa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" 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 – Singalees" lang="si" hreflang="si" data-title="ස්කන්ධය" data-language-autonym="සිංහල" data-language-local-name="Singalees" 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 – Slowaaks" lang="sk" hreflang="sk" data-title="Hmotnosť" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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 – Sloveens" lang="sl" hreflang="sl" data-title="Masa" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" 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 – Shona" lang="sn" hreflang="sn" data-title="Huremu" data-language-autonym="ChiShona" data-language-local-name="Shona" 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 – Somalisch" lang="so" hreflang="so" data-title="Cuf" data-language-autonym="Soomaaliga" data-language-local-name="Somalisch" 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 – Albanees" lang="sq" hreflang="sq" data-title="Masa" data-language-autonym="Shqip" data-language-local-name="Albanees" 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 – Servisch" lang="sr" hreflang="sr" data-title="Маса" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" 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 – Saterfries" lang="stq" hreflang="stq" data-title="Masse" data-language-autonym="Seeltersk" data-language-local-name="Saterfries" 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 – Soendanees" lang="su" hreflang="su" data-title="Massa" data-language-autonym="Sunda" data-language-local-name="Soendanees" 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 – Zweeds" lang="sv" hreflang="sv" data-title="Massa" data-language-autonym="Svenska" data-language-local-name="Zweeds" 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 – Swahili" lang="sw" hreflang="sw" data-title="Tungamo" data-language-autonym="Kiswahili" data-language-local-name="Swahili" 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 – Silezisch" lang="szl" hreflang="szl" data-title="Masa" data-language-autonym="Ślůnski" data-language-local-name="Silezisch" 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 – Tamil" lang="ta" hreflang="ta" data-title="பொருண்மை" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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 – Telugu" lang="te" hreflang="te" data-title="ద్రవ్యరాశి" data-language-autonym="తెలుగు" data-language-local-name="Telugu" 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 – Tadzjieks" lang="tg" hreflang="tg" data-title="Масса" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadzjieks" 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 – Thai" lang="th" hreflang="th" data-title="มวล" data-language-autonym="ไทย" data-language-local-name="Thai" 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 – Tagalog" lang="tl" hreflang="tl" data-title="Masa" data-language-autonym="Tagalog" data-language-local-name="Tagalog" 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 – Turks" lang="tr" hreflang="tr" data-title="Kütle" data-language-autonym="Türkçe" data-language-local-name="Turks" 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 – Tsonga" lang="ts" hreflang="ts" data-title="Vunyingi-swilo" data-language-autonym="Xitsonga" data-language-local-name="Tsonga" 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 – Tataars" lang="tt" hreflang="tt" data-title="Massa" data-language-autonym="Татарча / tatarça" data-language-local-name="Tataars" 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 – Oeigoers" lang="ug" hreflang="ug" data-title="ۋەزىن" data-language-autonym="ئۇيغۇرچە / Uyghurche" data-language-local-name="Oeigoers" 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 – Oekraïens" lang="uk" hreflang="uk" data-title="Маса" data-language-autonym="Українська" data-language-local-name="Oekraïens" 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 – Urdu" lang="ur" hreflang="ur" data-title="کمیت" data-language-autonym="اردو" data-language-local-name="Urdu" 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 – Oezbeeks" lang="uz" hreflang="uz" data-title="Massa" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" 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 – Venetiaans" lang="vec" hreflang="vec" data-title="Masa" data-language-autonym="Vèneto" data-language-local-name="Venetiaans" 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 – Wepsisch" lang="vep" hreflang="vep" data-title="Mass" data-language-autonym="Vepsän kel’" data-language-local-name="Wepsisch" 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 – Vietnamees" lang="vi" hreflang="vi" data-title="Khối lượng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" 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-Vlaams" lang="vls" hreflang="vls" data-title="Massa" data-language-autonym="West-Vlams" data-language-local-name="West-Vlaams" 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 – Waray" lang="war" hreflang="war" data-title="Masa" data-language-autonym="Winaray" data-language-local-name="Waray" 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 – Wuyu" lang="wuu" hreflang="wuu" data-title="質量" data-language-autonym="吴语" data-language-local-name="Wuyu" class="interlanguage-link-target"><span>吴语</span></a></li><li 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</div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Uit Wikipedia, de vrije encyclopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nl" dir="ltr"><p><b>Massa</b> is een <a href="/wiki/Natuurkundige_grootheid" title="Natuurkundige grootheid">natuurkundige grootheid</a> die een eigenschap van <a href="/wiki/Materie" title="Materie">materie</a>, de hoeveelheid van een stof, aanduidt. De eenheid van massa is de <a href="/wiki/Kilogram" title="Kilogram">kilogram</a>.<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> Massa heeft twee belangrijke eigenschappen: <a href="/wiki/Traagheid" title="Traagheid">traagheid</a> als verzet tegen versnelling door een kracht (trage massa), en gewicht ten gevolge van de zwaartekracht op die massa (zware massa). Massa dient niet te worden verward met <i><a href="/wiki/Gewicht" title="Gewicht">gewicht</a></i>, dat de aantrekking van een massa door de <a href="/wiki/Zwaartekracht" title="Zwaartekracht">zwaartekracht</a> is. Het gewicht hangt af van de plaats van een massa ten opzichte van een hemellichaam. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Massa_en_hoeveelheid_materie">Massa en hoeveelheid materie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=1" title="Bewerk dit kopje: Massa en hoeveelheid materie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=1" title="De broncode bewerken van de sectie: Massa en hoeveelheid materie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De massa van een voorwerp is recht <a href="/wiki/Evenredig" class="mw-redirect" title="Evenredig">evenredig</a> met de hoeveelheid <a href="/wiki/Materie" title="Materie">materie</a>. In de <a href="/wiki/Klassieke_mechanica" title="Klassieke mechanica">klassieke (niet-relativistische) mechanica</a> is de massa de som van de massa's van alle deeltjes waaruit het voorwerp bestaat. Omdat de hoeveelheid materie wordt uitgedrukt in <i><a href="/wiki/Mol_(eenheid)" title="Mol (eenheid)">mol</a></i> geldt voor materie die uit een <a href="/wiki/Chemische_stof" class="mw-redirect" title="Chemische stof">chemische stof</a> bestaat: </p> <dl><dd><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=M\cdot n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>=</mo> <mi>M</mi> <mo>⋅</mo> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m=M\cdot n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f69ae3b77acc9f3964056225c2009034f904e264" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.655ex; height:2.176ex;" alt="{\displaystyle m=M\cdot n}"></span>,</dd></dl> <p>waarin </p> <ul><li><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> de massa is in <a href="/wiki/Gram_(eenheid)" title="Gram (eenheid)">gram</a></li> <li><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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> de hoeveelheid materie is in <a href="/wiki/Mol_(eenheid)" title="Mol (eenheid)">mol</a></li> <li><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/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}"></span> de <a href="/wiki/Molaire_massa" title="Molaire massa">molaire massa</a> is, de massa van een <i>mol</i> materie (in g/mol).</li></ul> <div class="mw-heading mw-heading2"><h2 id="Massa_en_traagheid">Massa en traagheid</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=2" title="Bewerk dit kopje: Massa en traagheid" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=2" title="De broncode bewerken van de sectie: Massa en traagheid"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="hatnote" style="margin-bottom:0.5em; padding:0.5em 0 0.5em 1.6em; font-size:95%;" role="note"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/15px-1rightarrow_blue.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/23px-1rightarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/30px-1rightarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <i>Zie <a href="/wiki/Traagheid" title="Traagheid">Traagheid</a> voor het hoofdartikel over dit onderwerp.</i></div> <p>De traagheid van een massa wordt uitgedrukt in de <a href="/wiki/Wetten_van_Newton" title="Wetten van Newton">eerste wet van Newton</a>: een massa waarop geen krachten werken, ondervindt geen versnelling. Ze zal met dezelfde snelheid blijven bewegen in een <a href="/wiki/Inertiaalstelsel" title="Inertiaalstelsel">statisch referentiekader</a>.<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> Dus als de snelheid van een voorwerp nul is blijft die nul als er geen kracht op het voorwerp werkt. En als een voorwerp al een snelheid ongelijk aan nul heeft, blijft die snelheid onveranderd rechtlijnig als er geen kracht werkt. De <a href="/wiki/Wetten_van_Newton" title="Wetten van Newton">tweede wet van Newton</a> geeft een uitdrukking voor de verandering van de snelheid door de totale kracht (als er meer krachten zijn) als de massa gelijk blijft: </p> <dl><dd><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 F=m\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=m\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7b767e501988f58a63aceeea58b644e0738506a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.789ex; height:2.176ex;" alt="{\displaystyle F=m\cdot a}"></span></dd></dl> <p>De versnelling <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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> is recht evenredig met de uitgeoefende totale kracht <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 F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.741ex; height:2.176ex;" alt="{\displaystyle F}"></span> en omgekeerd evenredig met de massa <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>, wat we weten uit het dagelijks leven, als we een voorwerp wrijvingsloos op het ijs voortduwen. Hoe meer massa een voorwerp heeft, des te groter de kracht die moet worden uitgeoefend om dezelfde <a href="/wiki/Versnelling_(natuurkunde)" title="Versnelling (natuurkunde)">versnelling</a> van het voorwerp te krijgen; of omgekeerd, hoe groter de massa van een voorwerp, des te kleiner de versnelling bij een gelijke uitgeoefende kracht. </p> <div class="mw-heading mw-heading2"><h2 id="Massa_en_zwaartekracht">Massa en zwaartekracht</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=3" title="Bewerk dit kopje: Massa en zwaartekracht" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=3" title="De broncode bewerken van de sectie: Massa en zwaartekracht"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een hoeveelheid massa (een voorwerp) trekt andere massa's aan met de <a href="/wiki/Zwaartekracht" title="Zwaartekracht">zwaartekracht</a>. In de <a href="/wiki/Klassieke_mechanica" title="Klassieke mechanica">klassieke mechanica</a> wordt deze kracht beschreven door de zwaartekrachtwet van Newton: </p> <dl><dd><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 F_{\text{z}}=G\cdot {m_{a}\cdot m_{b} \over r^{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>z</mtext> </mrow> </msub> <mo>=</mo> <mi>G</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{\text{z}}=G\cdot {m_{a}\cdot m_{b} \over r^{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/204fb2ffeab2f63f690e8704bd3a195df522b8ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:17.697ex; height:5.009ex;" alt="{\displaystyle F_{\text{z}}=G\cdot {m_{a}\cdot m_{b} \over r^{2}}}"></span>,</dd></dl> <p>met </p> <ul><li><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 F_{\text{z}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>z</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{\text{z}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d4439dbfb251d9d68168b856f4a118c5c770279" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.457ex; height:2.509ex;" alt="{\displaystyle F_{\text{z}}}"></span> de zwaartekracht ten gevolge van de massa's a en b (de <i>resulterende</i> zwaartekracht), in <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">newton</a></li> <li><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> de heel kleine <a href="/wiki/Gravitatieconstante" title="Gravitatieconstante">gravitatieconstante</a> (6,67·10<sup>−11</sup>Nm²/kg²)</li> <li><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_{a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aefb2f5b0650af85e06c339f57a7f506978824a1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.142ex; height:2.009ex;" alt="{\displaystyle m_{a}}"></span> en <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_{b}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{b}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/017c5131e6f8dab3b3bb57775a10d37c7a909bd8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.978ex; height:2.009ex;" alt="{\displaystyle m_{b}}"></span> de twee massa's, in kilogram</li> <li><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> de afstand tussen de twee massa's, in <a href="/wiki/Meter" title="Meter">meter</a></li></ul> <p>De uitgeoefende kracht is hier recht evenredig met het product van de twee massa's en omgekeerd evenredig aan het kwadraat van de afstand tussen de twee massa's. </p><p>De <a href="/wiki/Algemene_relativiteitstheorie" title="Algemene relativiteitstheorie">algemene relativiteitstheorie</a> van <a href="/wiki/Albert_Einstein" title="Albert Einstein">Albert Einstein</a> stelt echter dat er hier geen sprake is van eigenlijke <i>krachten</i>, maar van een kromming van de <a href="/wiki/Tijdruimte" class="mw-redirect" title="Tijdruimte">tijdruimte</a>: een meetkundig effect. Een massa bepaalt hoe de tijdruimte eromheen wordt gekromd en de kromming van de <a href="/wiki/Tijdruimte" class="mw-redirect" title="Tijdruimte">tijdruimte</a> bepaalt weer hoe een andere massa beweegt in die tijdruimte die wordt gekromd door de eerste massa. </p> <div class="mw-heading mw-heading3"><h3 id="Trage_massa,_passieve_en_actieve_zware_massa"><span id="Trage_massa.2C_passieve_en_actieve_zware_massa"></span>Trage massa, passieve en actieve zware massa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=4" title="Bewerk dit kopje: Trage massa, passieve en actieve zware massa" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=4" title="De broncode bewerken van de sectie: Trage massa, passieve en actieve zware massa"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In de twee genoemde wetten van Newton, <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 F=m\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=m\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7b767e501988f58a63aceeea58b644e0738506a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.789ex; height:2.176ex;" alt="{\displaystyle F=m\cdot a}"></span> voor een constante massa, en de zwaartekrachtwet, komt de massa in drie betekenissen voor. De wetten van Newton gaan er stilzwijgend van uit, dat deze drie soorten massa's voor ieder voorwerp gelijk zijn. Om over deze vaststelling te kunnen praten, geeft men ze de afzonderlijke benamingen, te weten </p> <ol><li><i>trage massa</i> (soms <i>inertiaalmassa</i>, dus verzet tegen versnelling door een kracht),</li> <li><i>passieve zware massa</i> (om zwaartekracht te ondervinden, soms <i>passieve gravitationele massa</i>) en</li> <li><i>actieve zware massa</i> (om andere massieve voorwerpen aan te trekken, actieve gravitationele massa, als bron van een zwaartekracht op een andere massa).</li></ol> <p>De algemene relativiteitstheorie gaat op deze problematiek in. Het <a href="/wiki/Equivalentieprincipe" title="Equivalentieprincipe">equivalentieprincipe</a> zegt precies dat de trage massa gelijk is aan de passieve zware massa. Uit diezelfde theorie volgt niet onmiddellijk dat passieve en actieve zware massa dezelfde zijn: het is van tevoren (<i>a priori</i>) niet gegarandeerd dat actie gelijk is aan reactie volgens de <a href="/wiki/Wetten_van_Newton" title="Wetten van Newton">Derde Wet van Newton</a> (of dat <a href="/wiki/Energie" title="Energie">energie</a> en <a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> constanten van de beweging zijn). </p><p>In 1968 voerde L. B. Kreuzer een experiment<sup class="noprint nopopups"><a href="/wiki/Wikipedia:Bronvermelding#Bron_gevraagd" title="Wikipedia:Bronvermelding"><span title="Voor deze uitspraak is sinds 03 februari 2020 een bronvermelding gewenst. Motivering: Bron zou leuk zijn">[bron?]</span></a></sup> uit met fluor en broom in een <a href="/wiki/Torsiebalans" title="Torsiebalans">torsiebalans</a> en stelde vast dat de verhouding tussen de actieve en passieve zware massa van beide materialen weinig scheelde: </p> <dl><dd><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 \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{fluor}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{broom}}}}\right|\leq 5\times 10^{-5}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>|</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>za</mtext> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>zp</mtext> </mrow> </msub> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>fluor</mtext> </mrow> </msub> </mrow> <mrow> <mo stretchy="false">(</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>za</mtext> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>zp</mtext> </mrow> </msub> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>broom</mtext> </mrow> </msub> </mrow> </mfrac> </mrow> </mrow> <mo>|</mo> </mrow> <mo>≤</mo> <mn>5</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>5</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{fluor}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{broom}}}}\right|\leq 5\times 10^{-5}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dabd8c874d3eb4ccb3fa6dea080fa0e0ab6496b4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:33.836ex; height:6.509ex;" alt="{\displaystyle \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{fluor}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{broom}}}}\right|\leq 5\times 10^{-5}}"></span></dd></dl> <p>In 1986 gebruikten D. F. Bartlett en D. Van Buren<sup class="noprint nopopups"><a href="/wiki/Wikipedia:Bronvermelding#Bron_gevraagd" title="Wikipedia:Bronvermelding"><span title="Voor deze uitspraak is sinds 03 februari 2020 een bronvermelding gewenst. Motivering: Bron hier ook zou leuk zijn">[bron?]</span></a></sup> de <a href="/wiki/Laser_(licht)" title="Laser (licht)">lasermetingen</a> van de afstand tot de <a href="/wiki/Maan" title="Maan">Maan</a> om een nog veel kleinere bovengrens op te leggen aan dit verschil voor de metalen <a href="/wiki/Aluminium" title="Aluminium">aluminium</a> en <a href="/wiki/IJzer_(element)" title="IJzer (element)">ijzer</a>, die op de Maan ongelijk verdeeld zijn. In dit geval werd het relatieve verschil van de verhoudingen begrensd door<sup id="cite_ref-ciufolini_3-0" class="reference"><a href="#cite_note-ciufolini-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><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 \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{aluminium}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{ijzer}}}}\right|\leq 4\times 10^{-12}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>|</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>za</mtext> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>zp</mtext> </mrow> </msub> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>aluminium</mtext> </mrow> </msub> </mrow> <mrow> <mo stretchy="false">(</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>za</mtext> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>zp</mtext> </mrow> </msub> <msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>ijzer</mtext> </mrow> </msub> </mrow> </mfrac> </mrow> </mrow> <mo>|</mo> </mrow> <mo>≤</mo> <mn>4</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>12</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{aluminium}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{ijzer}}}}\right|\leq 4\times 10^{-12}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/00c69d71d7aa86aa1f36cb51bb081d531ca5f84d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:37.76ex; height:6.509ex;" alt="{\displaystyle \left|1-{\frac {(M_{\text{za}}/M_{\text{zp}})_{\text{aluminium}}}{(M_{\text{za}}/M_{\text{zp}})_{\text{ijzer}}}}\right|\leq 4\times 10^{-12}}"></span></dd></dl> <p><br /> De 'zware massa' wordt bepaald door de sterkte van de zwaartekracht in het zwaartekrachtsveld <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> van een hemellichaam, zoals die door een voorwerp wordt ervaren.<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> <a href="/wiki/Gravitatieconstante#Valversnelling_naar_de_Aarde" title="Gravitatieconstante">De sterkte van de zwaartekracht</a> op een voorwerp van bekende massa is het gewicht <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>, bij een draaiend maar idealiter toch mooi rond hemellichaam gemeten op de noord- of de zuidpool ervan. De zware massa <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_{z}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{z}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fd2dba7bc3dde5b0572130236778279fe29c0959" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.042ex; height:2.009ex;" alt="{\displaystyle m_{z}}"></span> is dan: <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_{z}=G/g}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{z}=G/g}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6a3e11b0e484e030b190a3f9cbf3b0b9583d694" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.246ex; height:2.843ex;" alt="{\displaystyle m_{z}=G/g}"></span>. </p><p>De 'trage massa' wordt bepaald door de traagheidsweerstand die zich als een reactiekracht manifesteert bij versnelling van het lichaam door een kracht.<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> Dit wordt gedaan door één bekende kracht <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 F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.741ex; height:2.176ex;" alt="{\displaystyle F}"></span> te laten werken op een onbekende massa in een situatie zonder wrijving, waarna de versnelling <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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> wordt gemeten. Volgens de Tweede Wet van Newton is dan de trage massa <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_{t}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{t}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15cd7daffb06c3fa7898e10fe16953895cb3a369" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.866ex; height:2.009ex;" alt="{\displaystyle m_{t}}"></span> gelijk aan <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_{t}=F/a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{t}=F/a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a55796a7b64807bde9b541c57b6830859cddebc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.098ex; height:2.843ex;" alt="{\displaystyle m_{t}=F/a}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Massa_en_energie">Massa en energie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=5" title="Bewerk dit kopje: Massa en energie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=5" title="De broncode bewerken van de sectie: Massa en energie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De <a href="/wiki/Speciale_relativiteitstheorie" title="Speciale relativiteitstheorie">speciale relativiteitstheorie</a> van Einstein stelt dat massa en energie twee verschijningsvormen van hetzelfde verschijnsel zijn in zijn beroemde formule voor de <a href="/wiki/Massa-energierelatie" title="Massa-energierelatie">Massa-energierelatie</a>: </p> <dl><dd><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=m\cdot c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> <mo>⋅</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=m\cdot c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80617a68b13047e006c36a92dd4f10a8053bf3db" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.655ex; height:2.676ex;" alt="{\displaystyle E=m\cdot c^{2}}"></span></dd></dl> <p>Daarin is </p> <ul><li><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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle E}"></span> de energie (in <a href="/wiki/Joule" title="Joule">joule</a>)</li> <li><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> de massa (in kg)</li> <li><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> de lichtsnelheid.</li></ul> <p>De betekenis wordt duidelijker als de eenheid van snelheid niet in meter per seconde wordt gegeven, maar in lichtseconde per seconde. Dat heeft tot gevolg dat <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=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e3467f9e219a5ea38a30da5c3a02c2c23f61a79" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.268ex; height:2.176ex;" alt="{\displaystyle c=1}"></span> en dus ook <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^{2}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c^{2}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f074f65f21fb4dbb3ed207fe3e83a85fdc0bed26" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.322ex; height:2.676ex;" alt="{\displaystyle c^{2}=1}"></span>, zodat deze formule energie en massa direct aan elkaar gelijkstelt: <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=m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/278f7822ce62e3cd217eeac3b7bd1ceb379098fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.914ex; height:2.176ex;" alt="{\displaystyle E=m}"></span>. Dit resultaat was baanbrekend, omdat massa en energie voordien als twee afzonderlijke grootheden werden beschouwd. Anders gezegd is <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^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f3386a00382ce857fb0b3b04b9fa2bbe5cfae9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.061ex; height:2.676ex;" alt="{\displaystyle c^{2}}"></span> hier een omrekeningsfactor die stelt dat een kleine hoeveelheid massa gelijk staat aan een zeer grote hoeveelheid energie. </p><p>Hoewel bij kernreacties als <a href="/wiki/Kernsplitsing" class="mw-redirect" title="Kernsplitsing">kernsplitsing</a> en <a href="/wiki/Kernfusie" title="Kernfusie">kernfusie</a> slechts een (klein) deel van de massa wordt omgezet, leveren zulke reacties netto toch bijzonder veel energie op. </p> <div class="mw-heading mw-heading2"><h2 id="Massa_en_gewicht">Massa en gewicht</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=6" title="Bewerk dit kopje: Massa en gewicht" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=6" title="De broncode bewerken van de sectie: Massa en gewicht"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Satelliet_PSP.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/13/Satelliet_PSP.gif/260px-Satelliet_PSP.gif" decoding="async" width="260" height="228" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/1/13/Satelliet_PSP.gif 1.5x" data-file-width="345" data-file-height="302" /></a><figcaption>Een <a href="/wiki/Satelliet_(astronomie)" title="Satelliet (astronomie)">satelliet</a> "valt" rond de Aarde</figcaption></figure> <p>De woorden massa en gewicht worden in het dagelijks spraakgebruik door elkaar gehaald. Er is echter een wezenlijk verschil. </p><p>De massa van een voorwerp is een maat voor de hoeveelheid materie die het bevat. Meting ervan heeft plaats met een balans, die de massa van een voorwerp vergelijkt met die van een voorwerp waarvan de massa bekend is. Een balansmeting op de maan geeft eenzelfde resultaat met dezelfde voorwerpen als een meting met een balans op de aarde. </p><p>Het gewicht van een voorwerp is onder 'aardse' omstandigheden de kracht die de aarde op een voorwerp uitoefent. Meting ervan heeft plaats met een <a href="/wiki/Weeghaak" title="Weeghaak">weegschaal</a>. Het gewicht van een hoeveelheid materie is afhankelijk van de plaats en de hoogte ten opzichte van het aardoppervlak. Een astronaut met een <i>massa</i> van 60 kg zal op de aarde een zwaartekracht van (ongeveer) 600 <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a> ondervinden, terwijl die kracht op de maan maar ongeveer 100 N is. Dit is omdat de zwaartekracht op de Maan veel kleiner is, aangezien de massa van de maan veel kleiner is dan die van de aarde. De massa van de astronaut is echter op de maan ook 60 kg. Het gewicht kan worden uitgerekend met </p> <dl><dd><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 F_{\text{gewicht}}=m\cdot g}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>gewicht</mtext> </mrow> </msub> <mo>=</mo> <mi>m</mi> <mo>⋅</mo> <mi>g</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{\text{gewicht}}=m\cdot g}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e67442bbf6ba8b570e90972362d7fd239b278c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:15.14ex; height:2.843ex;" alt="{\displaystyle F_{\text{gewicht}}=m\cdot g}"></span>,</dd></dl> <p>met <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> de plaatselijke <a href="/wiki/Valversnelling" title="Valversnelling">valversnelling</a>, op Aarde vaak 9,81 m/s<sup>2</sup>, op de Maan maar 1,62 m/s<sup>2</sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Rustmassa_en_relativistische_massa">Rustmassa en relativistische massa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=7" title="Bewerk dit kopje: Rustmassa en relativistische massa" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=7" title="De broncode bewerken van de sectie: Rustmassa en relativistische massa"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Onderscheiden kunnen worden de <a href="/wiki/Rustmassa" title="Rustmassa">rustmassa</a> <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> (die niet van het <a href="/wiki/Inertiaalstelsel" title="Inertiaalstelsel">inertiaalstelsel</a> afhangt) en de <a href="/wiki/Relativistische_massa" class="mw-redirect" title="Relativistische massa">relativistische massa</a> <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_{R}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{R}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/708a172644ffb8bf780d3eb27f5c8d26d229411c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.52ex; height:2.009ex;" alt="{\displaystyle m_{R}}"></span>. Welke van de twee bedoeld wordt met "massa" is een kwestie van afspraak (<a href="/wiki/Conventie" title="Conventie">conventie</a>). In een <a href="/wiki/Context_(taal)" title="Context (taal)">context</a> waarin duidelijk is welk van beide conventies wordt gehanteerd gebruikt men (zelfs als het verschil niet verwaarloosbaar is) afhankelijk daarvan wel kortweg de notatie <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>. Tegenwoordig wordt hiermee meestal de rustmassa bedoeld, maar de beroemde formule <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> is algemener als <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> daarin staat voor de relativistische massa. Er geldt: </p> <dl><dd><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_{R}=\gamma m_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <mo>=</mo> <mi>γ</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{R}=\gamma m_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a30e013963eecfe10f0ae1ad2de20b87a651251c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.975ex; height:2.176ex;" alt="{\displaystyle m_{R}=\gamma m_{0}}"></span></dd></dl> <p>met <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 \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span> de <a href="/wiki/Lorentzfactor" title="Lorentzfactor">lorentzfactor</a>. </p><p>Voor de <a href="/wiki/Relativistische_impuls" title="Relativistische impuls">relativistische impuls</a> <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 p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> geldt: </p> <dl><dd><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 {\vec {p}}=\gamma m_{0}{\vec {v}}=m_{R}{\vec {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>γ</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}=\gamma m_{0}{\vec {v}}=m_{R}{\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57c1d2442fc82bcc12f3be9d1943b3e27a3ddfc9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:17.839ex; height:2.843ex;" alt="{\displaystyle {\vec {p}}=\gamma m_{0}{\vec {v}}=m_{R}{\vec {v}}}"></span></dd></dl> <p>met <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 {\vec {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85820588abd7333ef4d0c56539cb31c20e730753" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.175ex; height:2.343ex;" alt="{\displaystyle {\vec {v}}}"></span> de <a href="/wiki/Snelheid" title="Snelheid">snelheid</a>. </p><p>Voor de totale energie (zie ook boven) geldt de <a href="/wiki/Massa-energierelatie" title="Massa-energierelatie">massa-energierelatie</a>: </p> <dl><dd><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_{\mathrm {totaal} }=\gamma m_{0}c^{2}=m_{R}c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">l</mi> </mrow> </mrow> </msub> <mo>=</mo> <mi>γ</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {totaal} }=\gamma m_{0}c^{2}=m_{R}c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/942339ef43e595e21698b7bf59e77c4f17f2f69d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.346ex; height:3.176ex;" alt="{\displaystyle E_{\mathrm {totaal} }=\gamma m_{0}c^{2}=m_{R}c^{2}}"></span></dd></dl> <p>met <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> de <a href="/wiki/Lichtsnelheid" title="Lichtsnelheid">lichtsnelheid</a>. </p><p>De energie kan worden onderverdeeld in de rustenergie </p> <dl><dd><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_{\text{rust}}=m_{0}c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>rust</mtext> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\text{rust}}=m_{0}c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5dae4a88245913f96f974d1c6404c47806d070b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.048ex; height:3.009ex;" alt="{\displaystyle E_{\text{rust}}=m_{0}c^{2}}"></span></dd></dl> <p>en de <a href="/wiki/Kinetische_energie" title="Kinetische energie">kinetische energie</a> </p> <dl><dd><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_{\text{k}}=(m_{R}-m_{0})c^{2}=m_{0}c^{2}(\gamma -1)}"> <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> <mo stretchy="false">(</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>γ</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\text{k}}=(m_{R}-m_{0})c^{2}=m_{0}c^{2}(\gamma -1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f47a9366dc910538855dc18b8280f36e7763fcd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.568ex; height:3.176ex;" alt="{\displaystyle E_{\text{k}}=(m_{R}-m_{0})c^{2}=m_{0}c^{2}(\gamma -1)}"></span></dd></dl> <p>Voor de kracht geldt in het <a href="/wiki/Eendimensionaal" title="Eendimensionaal">eendimensionale</a> geval: </p> <dl><dd><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 F=m_{0}\gamma ^{3}a=m_{R}\gamma ^{2}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>γ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mi>a</mi> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <msup> <mi>γ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=m_{0}\gamma ^{3}a=m_{R}\gamma ^{2}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d29d59f5f163342a46ec5f1c1f965c6169f93a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.68ex; height:3.176ex;" alt="{\displaystyle F=m_{0}\gamma ^{3}a=m_{R}\gamma ^{2}a}"></span></dd></dl> <p>De kracht die nodig is voor een bepaalde versnelling (in de zin van verhoging van de snelheid per tijdseenheid in het vaste <a href="/wiki/Inertiaalstelsel" title="Inertiaalstelsel">inertiaalstelsel</a>) is bij een hoge snelheid extra groot, mede door de <a href="/wiki/Snelheidstransformatie" title="Snelheidstransformatie">speciale formule voor de combinatie van snelheden</a>. </p><p>De formules laten zien dat voor een deeltje met rustmassa groter dan nul oneindig veel energie en oneindig veel impuls nodig is om dit tot de lichtsnelheid te versnellen, wat betekent dat dit onmogelijk is. Een massa kan nooit de lichtsnelheid halen. </p> <div class="mw-heading mw-heading2"><h2 id="Molecuulmassa">Molecuulmassa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=8" title="Bewerk dit kopje: Molecuulmassa" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=8" title="De broncode bewerken van de sectie: Molecuulmassa"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="hatnote" style="margin-bottom:0.5em; padding:0.5em 0 0.5em 1.6em; font-size:95%;" role="note"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/15px-1rightarrow_blue.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/23px-1rightarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/30px-1rightarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <i>Zie <a href="/wiki/Moleculaire_massa" title="Moleculaire massa">moleculaire massa</a> voor het hoofdartikel over dit onderwerp.</i></div> <p>De <i>molecuulmassa</i> van een <a href="/wiki/Zuivere_stof" title="Zuivere stof">zuivere</a> chemische stof (<a href="/wiki/Enkelvoudige_stof" title="Enkelvoudige stof">enkelvoudig</a> of <a href="/wiki/Samengestelde_stof" title="Samengestelde stof">samengesteld</a>) is de rustmassa van één molecuul van de stof, uitgedrukt in <a href="/wiki/Atomaire_massa-eenheid" title="Atomaire massa-eenheid">atomaire massa-eenheden</a>. Molecuulmassa's zijn meestal in goede benadering gehele getallen, omdat de afzonderlijke bouwstenen van atoomkernen (<a href="/wiki/Proton_(deeltje)" title="Proton (deeltje)">protonen</a> en <a href="/wiki/Neutron" title="Neutron">neutronen</a>) een vrijwel gelijke massa hebben, terwijl de elektronen ruim 1800 keer lichter zijn. De volgende omstandigheden veroorzaken grote en kleine afwijkingen op deze regel: </p> <ul><li>De atomen waaruit de moleculen zijn opgebouwd, komen voor in verschillende <a href="/wiki/Isotoop" title="Isotoop">isotopen</a>, dat wil zeggen dat gelijksoortige atomen (met evenveel protonen en elektronen) een verschillend aantal neutronen in de kern kunnen hebben. Het bijvoeglijk naamwoord 'zuiver' in zuivere stof betekent niet dat iedere atoomsoort er <a href="/wiki/Mononuclidisch_element" title="Mononuclidisch element">mononuclidisch</a> (met maar één isotoop) in voorkomt.</li> <li>Een <a href="/wiki/Neutron" title="Neutron">neutron</a> is een klein beetje lichter (<a href="/wiki/Massa-energierelatie#Het_massadefect_van_de_atoomkern" title="Massa-energierelatie">massadefect</a>) dan een proton en een <a href="/wiki/Elektron" title="Elektron">elektron</a> samen</li> <li>Op deze kleine schaal geldt de optelregel niet meer precies: van de totale massa van de samenstellende deeltjes van een atoomkern, en in mindere mate ook van de samenstellende atomen van een molecuul, moet het relativistische massa-equivalent van de <a href="/wiki/Bindingsenergie" title="Bindingsenergie">bindingsenergie</a> worden afgetrokken; het <a href="/wiki/Massadefect" class="mw-redirect" title="Massadefect">massadefect</a> van het neutron is hiervan een bijzonder geval binnen de atoomkern</li></ul> <div class="mw-heading mw-heading2"><h2 id="Meting">Meting</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=9" title="Bewerk dit kopje: Meting" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=9" title="De broncode bewerken van de sectie: Meting"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Van voorwerpen op middelgrote schaal in het dagelijks leven wordt de massa meestal indirect vastgesteld op een weegschaal, bijvoorbeeld door het gewicht van een onbekend voorwerp te vergelijken met de gewichten van standaardmassa's. </p><p>De massa van een individueel <a href="/wiki/Atoom" title="Atoom">atoom</a> of <a href="/wiki/Molecuul" title="Molecuul">molecuul</a> wordt gemeten door de massa van een grote hoeveelheid van de stof op de gebruikelijke wijze (conventioneel) vast te stellen, en vervolgens door scheikundige technieken te bepalen hoeveel atomen of moleculen in de totale massa aanwezig zijn (<a href="/wiki/Wet_van_Proust" title="Wet van Proust">wet van Proust</a>). Dit levert massa's uitgedrukt in <a href="/wiki/Atomaire_massa-eenheid" title="Atomaire massa-eenheid">atomaire massa-eenheden</a>; om deze te vergelijken met standaardmassa's (bijvoorbeeld de kilogram) moeten afzonderlijke ijkproeven de <a href="/wiki/Constante_van_Avogadro" title="Constante van Avogadro">constante van Avogadro</a> meten. </p><p>Van individuele <a href="/wiki/Elektrische_lading" title="Elektrische lading">elektrisch geladen</a> deeltjes kan de massa worden geschat aan de hand van de uitwijking uit een rechte baan onder invloed van een <a href="/wiki/Elektrisch_veld" title="Elektrisch veld">elektrisch</a> en/of een <a href="/wiki/Magnetisch_veld" title="Magnetisch veld">magnetisch veld</a>: dit is het principe waarop <a href="/wiki/Massaspectrometrie" title="Massaspectrometrie">massaspectrometrie</a> berust. </p><p>De massa van een hemellichaam kan worden geschat aan de hand van de <a href="/wiki/Wetten_van_Kepler" title="Wetten van Kepler">derde wet van Kepler</a> op voorwaarde dat het hemellichaam over een <a href="/wiki/Satelliet_(astronomie)" title="Satelliet (astronomie)">satelliet</a> beschikt, en op voorwaarde dat de universele gravitatieconstante <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> bekend is. Deze laatste wordt gemeten met een <a href="/wiki/Torsiebalans" title="Torsiebalans">torsiebalans</a> (het experiment van <a href="/wiki/Henry_Cavendish" title="Henry Cavendish">Henry Cavendish</a>). Met soortgelijke technieken kan de totale massa van een <a href="/wiki/Sterrenstelsel" title="Sterrenstelsel">sterrenstelsel</a> bepaald worden aan de hand van de rotatiesnelheid van de individuele sterren rond het centrum van het stelsel. </p><p>De <a href="/wiki/Massa-lichtkrachtrelatie" title="Massa-lichtkrachtrelatie">massa-lichtkrachtrelatie</a> is een <a href="/wiki/Empirie" class="mw-redirect" title="Empirie">empirisch</a> verband tussen de massa van een <a href="/wiki/Hoofdreeks" title="Hoofdreeks">hoofdreeksster</a> en haar <a href="/wiki/Absolute_helderheid" title="Absolute helderheid">absolute helderheid</a>. Daarmee kunnen de massa's en absolute helderheden van de componenten van een <a href="/wiki/Dubbelster" title="Dubbelster">dubbelster</a> geschat worden door een <a href="/wiki/Iteratie" title="Iteratie">iteratieve</a> berekening, die <a href="/wiki/Dynamische_parallax" title="Dynamische parallax">dynamische parallax</a> heet. </p> <div class="mw-heading mw-heading2"><h2 id="Eenheden">Eenheden</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Massa_(natuurkunde)&veaction=edit&section=10" title="Bewerk dit kopje: Eenheden" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Massa_(natuurkunde)&action=edit&section=10" title="De broncode bewerken van de sectie: Eenheden"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De <a href="/wiki/SI-stelsel" title="SI-stelsel">SI-eenheid</a> van massa is de kilogram. Het is een van de zeven <a href="/wiki/SI-basiseenheid" title="SI-basiseenheid">SI-basiseenheden</a>, en de enige SI-eenheid die een voorvoegsel ("kilo") draagt. Dit is om historische en praktische redenen. Ingeburgerde termen als kilogram en gram een andere naam geven (respectievelijk een naam zonder "kilo", en die naam met "milli" ervoor) is bezwaarlijk, maar de gram als basiseenheid kiezen ook, omdat onder andere de newton, joule en watt dan geen samenhangende eenheden meer zouden zijn. </p><p>Technische vakgebieden waar de bestudeerde massa's uitgedrukt in kilogram zeer grote of zeer kleine getallen opleveren, hanteren soms andere eenheden. Scheikundigen duiden molecuulmassa's aan in de <a href="/wiki/Atomaire_massa-eenheid" title="Atomaire massa-eenheid">atomaire massa-eenheid</a>, dat is één twaalfde van de massa van een <a href="/wiki/Koolstof-12" title="Koolstof-12">koolstof-12</a>-atoom of 1,66·10<sup>−27</sup> kg. In de <a href="/wiki/Deeltjesfysica" title="Deeltjesfysica">fysica van elementaire deeltjes</a> worden massa's omgerekend naar energieën en vervolgens uitgedrukt in <a href="/wiki/Elektronvolt" title="Elektronvolt">elektronvolt</a> of een veelvoud daarvan. Eén elektronvolt komt overeen met ongeveer 1,8·10<sup>−36</sup> kg. Sterrenkundigen drukken de massa van een ster vaak uit als een veelvoud van de massa van de <a href="/wiki/Zon" title="Zon">zon</a>, die 2·10<sup>30</sup> kg bedraagt. </p> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r67679320">.mw-parser-output .taalaanduiding{font-family:sans-serif;font-size:85%;cursor:help;color:var(--color-subtle,#555)}.mw-parser-output .taalaanduiding span{border-bottom:1px dotted var(--color-subtle,#555)}</style><span class="taalaanduiding" title="Taal: Engels">(<span>en</span>) </span> Britannica. <a rel="nofollow" class="external text" href="https://www.britannica.com/science/mass-physics">Definitie massa.</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20230822075703/https://www.britannica.com/science/mass-physics">Gearchiveerd</a> op 22 augustus 2023.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">dat wil zeggen een <a href="/wiki/Referentiekader" title="Referentiekader">referentiekader</a> dat niet versnelt of draait.</span> </li> <li id="cite_note-ciufolini-3"><span class="mw-cite-backlink"><a href="#cite_ref-ciufolini_3-0">↑</a></span> <span class="reference-text"><span style="font-variant:small-caps;">Ignazio Ciufolini</span> en <span style="font-variant:small-caps;">John Archibald Wheeler</span>, "Gravitation and Inertia," Princeton Series in Physics, 1995, paragraaf 3.3 "Active and Passive Gravitational Mass".</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67679320"><span class="taalaanduiding" title="Taal: Engels">(<span>en</span>) </span> Britannica. <a rel="nofollow" class="external text" href="https://www.britannica.com/science/inertial-mass">Definitie zware massa.</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20221105060115/https://www.britannica.com/science/inertial-mass">Gearchiveerd</a> op 5 november 2022.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67679320"><span class="taalaanduiding" title="Taal: Engels">(<span>en</span>) </span> Britannica. <a rel="nofollow" class="external text" href="https://www.britannica.com/science/inertial-mass">Definitie trage massa.</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20221105060115/https://www.britannica.com/science/inertial-mass">Gearchiveerd</a> op 5 november 2022.</span> </li> </ol></div></div> </div> <div class="interProject commons mw-list-item" style="display:none;"><a href="https://commons.wikimedia.org/wiki/Category:Mass_(physical_property)#mw-subcategories" class="extiw" title="commons:Category:Mass (physical property)">Mediabestanden</a></div> <div class="interProjectTemplate interProject-groot toccolours" style="display:flex; gap:1em; align-items:center; clear:both; margin:1em 0 -0.5em 0;"> <div style="min-width:max-content;"><span class="noviewer noresize" typeof="mw:File"><a href="/wiki/Bestand:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/25px-Commons-logo.svg.png" decoding="async" width="25" height="34" class="mw-file-element" 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.navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}</style> <div class="navigatie mw-collapsible mw-collapsed" role="navigation" aria-labelledby="Grootheden_en_eenheden_in_de_(klassieke)_mechanica" data-expandtext="Uitklappen" data-collapsetext="Inklappen"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Grootheden_(mechanica)" title="Sjabloon:Grootheden (mechanica)"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/24px-OOjs_UI_icon_article-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/32px-OOjs_UI_icon_article-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/nl:Overleg_sjabloon:Grootheden_(mechanica)" title="Overleg sjabloon"><img alt="Overleg sjabloon" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/16px-OOjs_UI_icon_speechBubbles-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/24px-OOjs_UI_icon_speechBubbles-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/32px-OOjs_UI_icon_speechBubbles-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Grootheden_(mechanica)&action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Grootheden_en_eenheden_in_de_(klassieke)_mechanica" class="navigatie-titel">Grootheden en eenheden in de (klassieke) mechanica</div> <div class="navigatie-inhoud mw-collapsible-content"> <table class="wikitable" style="text-align:center;line-height:0.9;border-collapse:collapse;margin:auto;border:none;background:none;"> <tbody><tr> <td colspan="5" style="border:none;backgound:none; font-weight:bold;">lineaire/translatie grootheden</td> <td rowspan="29" style="border:none;backgound:none;"></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsintegralen?</th> <th style="font-weight:normal;">'nabijheid' ('nearness')</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'verheid' ('farness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;font-size:80%;"><a href="/wiki/Dimensie_van_een_grootheid" title="Dimensie van een grootheid">Dimensie</a></th> <th style="font-weight:normal;">L<sup>−1</sup></th> <th style="font-weight:normal;">1</th> <th style="font-weight:normal;">L</th> <th style="font-weight:normal;">L<sup>2</sup></th> </tr> <tr> <th style="font-weight:normal;">T<sup>9</sup></th> <td><i>presrop</i> (Engels)<br />m<sup>−1</sup>·s<sup>9</sup></td> <td></td> <td><i>absrop</i> (Engels)<br />m·s<sup>9</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>8</sup></th> <td><i>presock</i> (Engels)<br />m<sup>−1</sup>·s<sup>8</sup></td> <td></td> <td><i>absock</i> (Engels)<br />m·s<sup>8</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>7</sup></th> <td><i>presop</i> (Engels)<br />m<sup>−1</sup>·s<sup>7</sup></td> <td></td> <td><i>absop</i> (Engels)<br />m·s<sup>7</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>6</sup></th> <td><i>presackle</i> (Engels)<br />m<sup>−1</sup>·s<sup>6</sup></td> <td></td> <td><i>absrackle</i> (Engels)<br />m·s<sup>6</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>5</sup></th> <td><i>presounce</i> (Engels)<br />m<sup>−1</sup>·s<sup>5</sup></td> <td></td> <td><i>absounce</i> (Engels)<br />m·s<sup>5</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>4</sup></th> <td><i>preserk</i> (Engels)<br />m<sup>−1</sup>·s<sup>4</sup></td> <td></td> <td><i>abserk</i> (Engels): <b>D</b><br />m·s<sup>4</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>3</sup></th> <td><i>preseleration</i> (Engels)<br />m<sup>−1</sup>·s<sup>3</sup></td> <td></td> <td><i>abseleration</i> (Engels): <b>C</b><br />m·s<sup>3</sup></td> <td></td> <td colspan="4" style="border:none;backgound:none; font-weight:bold;">hoek/rotatie grootheden</td> </tr> <tr> <th style="font-weight:normal;">T<sup>2</sup></th> <td><i>presity</i> (Engels)<br />m<sup>−1</sup>·s<sup>2</sup></td> <td></td> <td><i>absity</i> (Engels): <b>B</b><br />m·s<sup>2</sup></td> <td></td> <th style="font-weight:normal;font-size:80%;"><a href="/wiki/Dimensie_van_een_grootheid" title="Dimensie van een grootheid">Dimensie</a></th> <th style="font-weight:normal;">1</th> <th style="font-weight:normal;">geen (m·m<sup>−1</sup>)</th> <th style="font-weight:normal;">geen (m<sup>2</sup>·m<sup>−2</sup>)</th> </tr> <tr> <th style="font-weight:normal;">T</th> <td><i>presement</i> (Engels)<br />m<sup>−1</sup>·s</td> <td><a href="/wiki/Tijd" title="Tijd">tijd</a>: <i>t</i><br /><a href="/wiki/Seconde" title="Seconde">s</a></td> <td><i>absition/absement</i> (Engels): <b>A</b><br />m·s</td> <td></td> <th style="font-weight:normal;">T</th> <td><a href="/wiki/Tijd" title="Tijd">tijd</a>: <i>t</i><br /><a href="/wiki/Seconde" title="Seconde">s</a></td> <td></td> <td></td> </tr><tr> <th style="font-weight:normal;">1</th> <td><i>placement</i> (Engels)<br /><a href="/wiki/Golfgetal" title="Golfgetal">golfgetal</a><br />m<sup>−1</sup></td> <td></td> <td>afgelegde weg: <i>d</i><br /><span class="nowrap"><a href="/wiki/Plaatsvector" title="Plaatsvector">plaatsvector</a>: <b>r</b>, <b>s</b>, <b>x</b></span><br /><a href="/wiki/Afstand" title="Afstand">afstand</a>: <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 \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span><b>s</b><br /><a href="/wiki/Meter" title="Meter">m</a></td> <td><a href="/wiki/Oppervlakte" title="Oppervlakte">oppervlakte</a>: <i>A</i><br /><a href="/wiki/Vierkante_meter" title="Vierkante meter">m<sup>2</sup></a></td> <th style="font-weight:normal;">1</th> <td></td> <td><a href="/wiki/Hoek_(meetkunde)" title="Hoek (meetkunde)">hoek</a>: <i>θ</i><br /><a href="/wiki/Radiaal_(wiskunde)" title="Radiaal (wiskunde)">rad</a></td> <td><span class="nowrap"><a href="/wiki/Ruimtehoek" title="Ruimtehoek">ruimtehoek</a>: <i>Ω</i><br /><a href="/wiki/Steradiaal" title="Steradiaal">rad<sup>2</sup>, sr</a></span></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsafgeleiden?</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'rasheid' ('swiftness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;">T<sup>−1</sup></th> <td></td> <td><span class="nowrap"><a href="/wiki/Frequentie" title="Frequentie">frequentie</a>: <i>f</i></span><br /><a href="/wiki/Hertz_(eenheid)" title="Hertz (eenheid)">s<sup>−1</sup>, Hz</a></td> <td><a href="/wiki/Snelheid" title="Snelheid">snelheid (scalar)</a>: <i>v</i><br /><a href="/wiki/Snelheid" title="Snelheid">snelheid (vector)</a>: <b>v</b><br /><a href="/wiki/Meter_per_seconde" title="Meter per seconde">m·s<sup>−1</sup></a></td> <td><a href="/wiki/Kinematische_viscositeit" class="mw-redirect" title="Kinematische viscositeit">kinematische viscositeit</a>: <span style="font-family:'Times New Roman', 'Nimbus Roman No9 L', Times, serif; font-size:118%; white-space:nowrap;"><i>ν</i></span><br /><a href="/wiki/Diffusieco%C3%ABffici%C3%ABnt" class="mw-redirect" title="Diffusiecoëfficiënt">diffusiecoëfficiënt</a>: <i>D</i><br /><a href="/wiki/Tweelichamenprobleem#Specifieke_baanenergie_en_specifiek_impulsmoment" title="Tweelichamenprobleem">specifiek impulsmoment</a>: <i>h</i><br />m<sup>2</sup>·s<sup>−1</sup></td> <th style="font-weight:normal;">T<sup>−1</sup></th> <td><span class="nowrap"><a href="/wiki/Frequentie" title="Frequentie">frequentie</a>: <i>f</i></span><br /><a href="/wiki/Hertz_(eenheid)" title="Hertz (eenheid)">s<sup>−1</sup>, Hz</a></td> <td><a href="/wiki/Hoeksnelheid" title="Hoeksnelheid">hoeksnelheid</a>: <i>ω</i>, <b>ω</b><br /><a href="/wiki/Radialen_per_seconde" title="Radialen per seconde">rad·s<sup>−1</sup></a></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−2</sup></th> <td></td> <td></td> <td><a href="/wiki/Versnelling_(natuurkunde)" title="Versnelling (natuurkunde)">versnelling</a>: <b>a</b><br />m·s<sup>−2</sup></td> <td><a href="/wiki/Verbrandingswarmte" title="Verbrandingswarmte">verbrandingswarmte</a><br /><a href="/wiki/Geabsorbeerde_dosis" title="Geabsorbeerde dosis">geabsorbeerde dosis</a>: D<br /><a href="/wiki/Radioactieve-dosisequivalent" title="Radioactieve-dosisequivalent">radioactieve-dosisequivalent</a><br />m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Joule" title="Joule">J</a>·kg<sup>−1</sup>, <a href="/wiki/Gray_(eenheid)" title="Gray (eenheid)">Gy</a>, <a href="/wiki/Sievert" title="Sievert">Sv</a></td> <th style="font-weight:normal;">T<sup>−2</sup></th> <td></td> <td><a href="/wiki/Hoekversnelling" title="Hoekversnelling">hoekversnelling</a>: <b>α</b><br />rad·s<sup>−2</sup></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−3</sup></th> <td></td> <td></td> <td><a href="/wiki/Jerk_(natuurkunde)" class="mw-redirect" title="Jerk (natuurkunde)">ruk</a>: <b>j</b><br />m·s<sup>−3</sup></td> <td></td> <th style="font-weight:normal;">T<sup>−3</sup></th> <td></td> <td>hoekruk: <b>ζ</b><br />rad·s<sup>−3</sup></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−4</sup></th> <td></td> <td></td> <td><i>jounce/snap</i> (Engels): <b>s</b> <br />m·s<sup>−4</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−5</sup></th> <td></td> <td></td> <td><i>crackle</i> (Engels): <b>c</b><br />m·s<sup>−5</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−6</sup></th> <td></td> <td></td> <td><i>pop</i> (Engels): <b>Po</b><br />m·s<sup>−6</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−7</sup></th> <td></td> <td></td> <td><i>lock</i> (Engels)<br />m·s<sup>−7</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−8</sup></th> <td></td> <td></td> <td><i>drop</i> (Engels)<br />m·s<sup>−8</sup></td> </tr> <tr> <td colspan="5" style="padding-top:0;"></td> <td colspan="4" style="padding-top:0;"></td> </tr> <tr><th style="font-weight:normal;">M</th> <td><a href="/wiki/Lineaire_dichtheid" title="Lineaire dichtheid">lineaire dichtheid</a>: <i><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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span></i><br /><a href="/wiki/Kilogram" title="Kilogram">kg</a>·m<sup>−1</sup></td> <td><a class="mw-selflink selflink">massa</a>: <i>m</i><br /><a href="/wiki/Kilogram" title="Kilogram">kg</a></td> <td></td> <td></td> <th style="font-weight:normal;">ML<sup>2</sup></th> <td><a href="/wiki/Traagheidsmoment" title="Traagheidsmoment">massatraagheidsmoment</a>: <i>I</i><br />kg·m<sup>2</sup></td> <td></td> <td></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsafgeleiden?</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'sterkheid' ('forceness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;">MT<sup>−1</sup></th> <td><a href="/wiki/Viscositeit#Dynamische_viscositeit_(Pa·s)" title="Viscositeit">dynamische viscositeit</a>: <span style="font-family:'Times New Roman', 'Nimbus Roman No9 L', Times, serif; font-size:118%; white-space:nowrap;"><i>η</i></span><br />kg·m<sup>−1</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−2</sup>·s, Pa·s</td> <td></td> <td><a href="/wiki/Impuls_(natuurkunde)" title="Impuls (natuurkunde)">impuls</a>: <b>p</b> (<i>momentum</i>),<br /><a href="/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde)">stoot</a>: <b>J</b>, <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 \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span><b>p</b> (<i>impulse</i>)<br />kg·m·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s</td> <td><a href="/wiki/Actie_(natuurkunde)" title="Actie (natuurkunde)">actie</a>: <b>𝒮</b><br /><a href="/w/index.php?title=Actergie_(natuurkunde)&action=edit&redlink=1" class="new" title="Actergie (natuurkunde) (de pagina bestaat niet)">actergie</a>: <span style="font-family:'Times New Roman', 'Nimbus Roman No9 L', Times, serif; font-size:118%; white-space:nowrap;"><i>ℵ</i></span><br />kg·m<sup>2</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m·s, <a href="/wiki/Joule" title="Joule">J</a>·s</td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−1</sup></th> <td></td> <td><a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> (<i>momentum angularis</i>): <b>L</b><br />kg·m<sup>2</sup>·s<sup>−1</sup></td> <td><a href="/wiki/Actie_(natuurkunde)" title="Actie (natuurkunde)">actie</a>: <b>𝒮</b><br /><a href="/w/index.php?title=Actergie_(natuurkunde)&action=edit&redlink=1" class="new" title="Actergie (natuurkunde) (de pagina bestaat niet)">actergie</a>: <span style="font-family:'Times New Roman', 'Nimbus Roman No9 L', Times, serif; font-size:118%; white-space:nowrap;"><i>ℵ</i></span><br />kg·m<sup>2</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m·s, <a href="/wiki/Joule" title="Joule">J</a>·s</td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−2</sup></th> <td><a href="/wiki/Druk_(grootheid)" title="Druk (grootheid)">druk</a>: <i>p</i><br /><a href="/wiki/Mechanische_spanning" title="Mechanische spanning">mechanische spanning</a>: <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 \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span><br /><a href="/wiki/Energiedichtheid" title="Energiedichtheid">energiedichtheid</a>: U<br />kg·m<sup>−1</sup>·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−2</sup>, <a href="/wiki/Joule" title="Joule">J</a>·m<sup>−3</sup>, Pa</td> <td><a href="/wiki/Oppervlaktespanning" title="Oppervlaktespanning">oppervlaktespanning</a>: <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 \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span> of <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 \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span><br />kg·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−1</sup>, <a href="/wiki/Joule" title="Joule">J</a>·m<sup>−2</sup></td> <td><a href="/wiki/Kracht" title="Kracht">kracht</a>: <b>F</b><br /><a href="/wiki/Gewicht" title="Gewicht">gewicht</a>: <b>F</b><sub>g</sub><br />·kg·m·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a></td> <td><a href="/wiki/Energie" title="Energie">energie</a>: <i>E</i><br /><a href="/wiki/Arbeid_(natuurkunde)" title="Arbeid (natuurkunde)">arbeid</a>: <i>W</i><br /><a href="/wiki/Warmte" title="Warmte">warmte</a>: <i>Q</i><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a>, <a href="/wiki/Joule" title="Joule">J</a></td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−2</sup></th> <td></td> <td><a href="/wiki/Krachtmoment" class="mw-redirect" title="Krachtmoment">krachtmoment</a> (<i>torque</i>): <b>M</b>, <b>τ</b><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a></td> <td><a href="/wiki/Energie" title="Energie">energie</a>: <i>E</i><br /><a href="/wiki/Arbeid_(natuurkunde)" title="Arbeid (natuurkunde)">arbeid</a>: <i>W</i><br /><a href="/wiki/Warmte" title="Warmte">warmte</a>: <i>Q</i><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a>, <a href="/wiki/Joule" title="Joule">J</a></td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−3</sup></th> <td></td> <td></td> <td><i>yank</i> (Engels): <b>Y</b><br />kg·m·s<sup>−3</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−1</sup></td> <td><a href="/wiki/Vermogen_(natuurkunde)" title="Vermogen (natuurkunde)">vermogen</a>: <i>P</i><br />kg·m<sup>2</sup>·s<sup>−3</sup>, <a href="/wiki/Watt_(eenheid)" title="Watt (eenheid)">W</a></td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−3</sup></th> <td></td> <td><i>rotatum</i>: <b>P</b><br />kg·m<sup>2</sup>·s<sup>−3</sup>, N·m·s<sup>−1</sup></td> <td><a href="/wiki/Vermogen_(natuurkunde)" title="Vermogen (natuurkunde)">vermogen</a>: <i>P</i><br />kg·m<sup>2 </sup>·s<sup>−3</sup>, <a href="/wiki/Watt_(eenheid)" title="Watt (eenheid)">W</a></td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−4</sup></th> <td></td> <td></td> <td><i>tug</i> (Engels): <b>T</b><br />kg·m·s<sup>−4</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−2</sup></td> </tr> <tr><th style="font-weight:normal;">MT<sup>−5</sup></th> <td></td> <td></td> <td><i>snatch</i> (Engels): <b>S</b><br />kg·m·s<sup>−5</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−3</sup></td> </tr> <tr><th style="font-weight:normal;">MT<sup>−6</sup></th> <td></td> <td></td> <td><i>shake</i> (Engels): <b>Sh</b><br />kg·m·s<sup>−6</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−4</sup></td> </tr> </tbody></table> </div></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67837862"> <div class="navigatie" role="navigation" aria-labelledby="Elementaire_begrippen_in_de_mechanica"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Navigatie_mechanica" title="Sjabloon:Navigatie mechanica"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/24px-OOjs_UI_icon_article-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/32px-OOjs_UI_icon_article-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span class="ui-state-disabled" typeof="mw:File"><span title="Overleg 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.links{text-align:unset}.mw-parser-output .navigatie-tabel .rechts{padding:unset}}</style><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style=""><tbody><tr><td class="links" style=""><span class="nowrap"><b>Lineaire grootheid:</b></span></td><td class="rechts"><a href="/wiki/Snelheid" title="Snelheid">(bewegings)snelheid</a> · <a href="/wiki/Versnelling_(natuurkunde)" title="Versnelling (natuurkunde)">versnelling</a> · <a href="/wiki/Ruk_(natuurkunde)" title="Ruk (natuurkunde)">ruk</a> | <a class="mw-selflink selflink">massa</a> | <a href="/wiki/Impuls_(natuurkunde)" title="Impuls (natuurkunde)">impuls</a> · <a href="/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde)">stoot</a> · <a href="/wiki/Kracht_(hoofdbetekenis)" class="mw-redirect" title="Kracht (hoofdbetekenis)">kracht</a></td></tr><tr><td class="links"><b>Rotatiegrootheid:</b></td><td class="rechts"><a href="/wiki/Hoeksnelheid" title="Hoeksnelheid">hoeksnelheid</a> · <a href="/wiki/Hoekversnelling" title="Hoekversnelling">hoekversnelling</a> | <a href="/wiki/Traagheidsmoment" title="Traagheidsmoment">traagheidsmoment</a> | <a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> · <a href="/wiki/Moment_(mechanica)" title="Moment (mechanica)">krachtmoment</a></td></tr><tr><td class="links"><b>Overig:</b></td><td class="rechts"><a href="/wiki/Eenparige_beweging" title="Eenparige beweging">eenparige beweging</a> · <a href="/wiki/Eenparig_versnelde_beweging" title="Eenparig versnelde beweging">eenparig versnelde beweging</a> · <a href="/wiki/Beweging_(natuurkunde)" title="Beweging (natuurkunde)">verplaatsing</a> · <a href="/wiki/Rotatie_(natuurkunde)" title="Rotatie (natuurkunde)">rotatie</a> · <a href="/wiki/Koppel_(natuurkunde)" title="Koppel (natuurkunde)">koppel (natuurkunde)</a> · <a href="/wiki/Koppel_(aandrijftechniek)" title="Koppel (aandrijftechniek)">koppel (aandrijftechniek)</a> · <a href="/wiki/Moment_en_koppel" title="Moment en koppel">moment en koppel</a> · <a 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