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Momentu lineal - Wikipedia, entziklopedia askea.

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class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ezkutatu</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Nabigazioa </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Azala" title="Azala bisitatu [z]" accesskey="z"><span>Azala</span></a></li><li id="n-Txikipedia" class="mw-list-item"><a href="/wiki/Txikipedia:Azala"><span>Txikipedia</span></a></li><li id="n-Ikusgela" class="mw-list-item"><a href="/wiki/Atari:Hezkuntza/Ikusgela"><span>Ikusgela</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Txokoa" title="Proiektuaren inguruan, zer egin dezakezu, non aurkitu nahi duzuna"><span>Txokoa</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Berezi:AzkenAldaketak" title="Wikiko azken aldaketen zerrenda. [r]" accesskey="r"><span>Aldaketa berriak</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Berezi:Ausazkoa" title="Ausazko orrialde bat kargatu [x]" accesskey="x"><span>Ausazko orria</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Laguntza:Sarrera" title="Aurkitzeko lekua."><span>Laguntza</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Azala" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Entziklopedia askea" src="/static/images/mobile/copyright/wikipedia-tagline-eu.svg" width="120" height="13" style="width: 7.5em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Berezi:Bilatu" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Wikipedia(e)n bilatu [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Bilatu</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Wikipedia wikian bilatu" aria-label="Wikipedia wikian bilatu" autocapitalize="sentences" title="Wikipedia(e)n bilatu [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Berezi:Bilatu"> </div> <button class="cdx-button cdx-search-input__end-button">Bilatu</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Tresna pertsonalak"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Itxura"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page&#039;s font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Itxura" > <label id="vector-appearance-dropdown-label" for="vector-appearance-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Itxura</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_eu.wikipedia.org&amp;uselang=eu" class=""><span>Dohaintza egin</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Berezi:KontuaSortu&amp;returnto=Momentu+lineal" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea." class=""><span>Sortu kontua</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=Berezi:SaioaHasi&amp;returnto=Momentu+lineal" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o" class=""><span>Hasi saioa</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="Aukera gehiago" > <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="Tresna pertsonalak" > <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">Tresna pertsonalak</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <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&amp;utm_medium=sidebar&amp;utm_campaign=C13_eu.wikipedia.org&amp;uselang=eu"><span>Dohaintza egin</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:KontuaSortu&amp;returnto=Momentu+lineal" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Sortu kontua</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:SaioaHasi&amp;returnto=Momentu+lineal" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Hasi saioa</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Izena eman gabeko erabiltzaileentzako orrialdeak <a href="/wiki/Laguntza:Sarrera" aria-label="Artikuluak aldatzeari buruz gehiago ikasi"><span>gehiago ikasi</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Berezi:NireEkarpenak" title="IP helbide honetatik egindako aldaketen zerrenda [y]" accesskey="y"><span>Ekarpenak</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Berezi:NireEztabaida" title="Zure IParen eztabaida [n]" accesskey="n"><span>Eztabaida</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"><!-- CentralNotice --></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="Gunea"> <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="Edukiak" 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">Edukiak</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ezkutatu</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">⇑ Gora</div> </a> </li> <li id="toc-Kontserbazioa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kontserbazioa"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Kontserbazioa</span> </div> </a> <button aria-controls="toc-Kontserbazioa-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Kontserbazioa azpiatal</span> </button> <ul id="toc-Kontserbazioa-sublist" class="vector-toc-list"> <li id="toc-kalkulu_diferentziala_erabiliz" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#kalkulu_diferentziala_erabiliz"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>kalkulu diferentziala erabiliz</span> </div> </a> <ul id="toc-kalkulu_diferentziala_erabiliz-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-kalkulu_diferentziala_erabili_gabe" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#kalkulu_diferentziala_erabili_gabe"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>kalkulu diferentziala erabili gabe</span> </div> </a> <ul id="toc-kalkulu_diferentziala_erabili_gabe-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Bulkada" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bulkada"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Bulkada</span> </div> </a> <ul id="toc-Bulkada-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Talkak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Talkak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Talkak</span> </div> </a> <button aria-controls="toc-Talkak-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Talkak azpiatal</span> </button> <ul id="toc-Talkak-sublist" class="vector-toc-list"> <li id="toc-talka_elastikoak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#talka_elastikoak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>talka elastikoak</span> </div> </a> <ul id="toc-talka_elastikoak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-talka_inelastikoak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#talka_inelastikoak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>talka inelastikoak</span> </div> </a> <ul id="toc-talka_inelastikoak-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Beste_arlo_batzuekin_daukan_erlazioa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Beste_arlo_batzuekin_daukan_erlazioa"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Beste arlo batzuekin daukan erlazioa</span> </div> </a> <button aria-controls="toc-Beste_arlo_batzuekin_daukan_erlazioa-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Beste arlo batzuekin daukan erlazioa azpiatal</span> </button> <ul id="toc-Beste_arlo_batzuekin_daukan_erlazioa-sublist" class="vector-toc-list"> <li id="toc-partikulen_bitasuna" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#partikulen_bitasuna"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>partikulen bitasuna</span> </div> </a> <ul id="toc-partikulen_bitasuna-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Newtonen_legeak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Newtonen_legeak"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Newtonen legeak</span> </div> </a> <ul id="toc-Newtonen_legeak-sublist" class="vector-toc-list"> <li id="toc-Newtonen_lehenengo_legea" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Newtonen_lehenengo_legea"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2.1</span> <span>Newtonen lehenengo legea</span> </div> </a> <ul id="toc-Newtonen_lehenengo_legea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Newtonen_bigarren_legea" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Newtonen_bigarren_legea"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2.2</span> <span>Newtonen bigarren legea</span> </div> </a> <ul id="toc-Newtonen_bigarren_legea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Newtonen_hirugarren_legea" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Newtonen_hirugarren_legea"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2.3</span> <span>Newtonen hirugarren legea</span> </div> </a> <ul id="toc-Newtonen_hirugarren_legea-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Fisika_modernoan" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fisika_modernoan"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Fisika modernoan</span> </div> </a> <button aria-controls="toc-Fisika_modernoan-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Fisika modernoan azpiatal</span> </button> <ul id="toc-Fisika_modernoan-sublist" class="vector-toc-list"> <li id="toc-Fisika_erlatibistan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fisika_erlatibistan"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Fisika erlatibistan</span> </div> </a> <ul id="toc-Fisika_erlatibistan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fisika_kuantikoan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fisika_kuantikoan"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Fisika kuantikoan</span> </div> </a> <ul id="toc-Fisika_kuantikoan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elektromagnetismoan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Elektromagnetismoan"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.3</span> <span>Elektromagnetismoan</span> </div> </a> <ul id="toc-Elektromagnetismoan-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ikus,_gainera" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ikus,_gainera"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Ikus, gainera</span> </div> </a> <ul id="toc-Ikus,_gainera-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Iturriak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Iturriak"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Iturriak</span> </div> </a> <ul id="toc-Iturriak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Edukiak" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Eduki taularen ikusgarritasuna aldatu" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Eduki taularen ikusgarritasuna aldatu</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Momentu lineal</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Joan beste hizkuntza batean idatzitako artikulu batera. 97 hizkuntzatan eskuragarri." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-97" 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">97 hizkuntza</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Momentum" title="Momentum – afrikaansa" lang="af" hreflang="af" data-title="Momentum" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Impuls_(Physik)" title="Impuls (Physik) – Suitzako alemana" lang="gsw" hreflang="gsw" data-title="Impuls (Physik)" data-language-autonym="Alemannisch" data-language-local-name="Suitzako alemana" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B2%D8%AE%D9%85_%D8%A7%D9%84%D8%AD%D8%B1%D9%83%D8%A9" title="زخم الحركة – arabiera" lang="ar" hreflang="ar" data-title="زخم الحركة" data-language-autonym="العربية" data-language-local-name="arabiera" class="interlanguage-link-target"><span>العربية</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%E0%A6%AC%E0%A7%87%E0%A6%97" title="ভৰবেগ – assamera" lang="as" hreflang="as" data-title="ভৰবেগ" data-language-autonym="অসমীয়া" data-language-local-name="assamera" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Cantid%C3%A1_de_movimientu" title="Cantidá de movimientu – asturiera" lang="ast" hreflang="ast" data-title="Cantidá de movimientu" data-language-autonym="Asturianu" data-language-local-name="asturiera" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C4%B0mpuls" title="İmpuls – azerbaijanera" lang="az" hreflang="az" data-title="İmpuls" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Momentum" title="Momentum – Central Bikol" lang="bcl" hreflang="bcl" data-title="Momentum" 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%86%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Імпульс – bielorrusiera" lang="be" hreflang="be" data-title="Імпульс" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%86%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Імпульс – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Імпульс" 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-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%98%D0%BC%D0%BF%D1%83%D0%BB%D1%81_(%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0)" title="Импулс (механика) – bulgariera" lang="bg" hreflang="bg" data-title="Импулс (механика)" data-language-autonym="Български" data-language-local-name="bulgariera" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="वेगमान – Bhojpuri" lang="bh" hreflang="bh" data-title="वेगमान" 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%E0%A6%AC%E0%A7%87%E0%A6%97" title="ভরবেগ – bengalera" lang="bn" hreflang="bn" data-title="ভরবেগ" data-language-autonym="বাংলা" data-language-local-name="bengalera" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Koli%C4%8Dina_kretanja" title="Količina kretanja – bosniera" lang="bs" hreflang="bs" data-title="Količina kretanja" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%98%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Импульс – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Импульс" 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/Quantitat_de_moviment" title="Quantitat de moviment – katalana" lang="ca" hreflang="ca" data-title="Quantitat de moviment" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%95%D8%A7%D9%88%DB%95%D8%B4" title="ڕاوەش – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="ڕاوەش" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Hybnost" title="Hybnost – txekiera" lang="cs" hreflang="cs" data-title="Hybnost" data-language-autonym="Čeština" data-language-local-name="txekiera" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%98%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Импульс – txuvaxera" lang="cv" hreflang="cv" data-title="Импульс" data-language-autonym="Чӑвашла" data-language-local-name="txuvaxera" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Momentwm" title="Momentwm – galesa" lang="cy" hreflang="cy" data-title="Momentwm" data-language-autonym="Cymraeg" data-language-local-name="galesa" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Impuls_(fysik)" title="Impuls (fysik) – daniera" lang="da" hreflang="da" data-title="Impuls (fysik)" data-language-autonym="Dansk" data-language-local-name="daniera" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Impuls" title="Impuls – alemana" lang="de" hreflang="de" data-title="Impuls" data-language-autonym="Deutsch" data-language-local-name="alemana" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9F%CF%81%CE%BC%CE%AE" title="Ορμή – greziera" lang="el" hreflang="el" data-title="Ορμή" data-language-autonym="Ελληνικά" data-language-local-name="greziera" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Momentum" title="Momentum – ingelesa" lang="en" hreflang="en" data-title="Momentum" data-language-autonym="English" data-language-local-name="ingelesa" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Movokvanto" title="Movokvanto – esperantoa" lang="eo" hreflang="eo" data-title="Movokvanto" data-language-autonym="Esperanto" data-language-local-name="esperantoa" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cantidad_de_movimiento" title="Cantidad de movimiento – gaztelania" lang="es" hreflang="es" data-title="Cantidad de movimiento" data-language-autonym="Español" data-language-local-name="gaztelania" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Impulss" title="Impulss – estoniera" lang="et" hreflang="et" data-title="Impulss" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%DA%A9%D8%A7%D9%86%D9%87" title="تکانه – persiera" lang="fa" hreflang="fa" data-title="تکانه" data-language-autonym="فارسی" data-language-local-name="persiera" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Liikem%C3%A4%C3%A4r%C3%A4" title="Liikemäärä – finlandiera" lang="fi" hreflang="fi" data-title="Liikemäärä" data-language-autonym="Suomi" data-language-local-name="finlandiera" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Quantit%C3%A9_de_mouvement" title="Quantité de mouvement – frantsesa" lang="fr" hreflang="fr" data-title="Quantité de mouvement" data-language-autonym="Français" data-language-local-name="frantsesa" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Ympuls_(natuerkunde)" title="Ympuls (natuerkunde) – mendebaldeko frisiera" lang="fy" hreflang="fy" data-title="Ympuls (natuerkunde)" data-language-autonym="Frysk" data-language-local-name="mendebaldeko frisiera" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/M%C3%B3iminteam" title="Móiminteam – irlandera" lang="ga" hreflang="ga" data-title="Móiminteam" data-language-autonym="Gaeilge" data-language-local-name="irlandera" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cantidade_de_movemento" title="Cantidade de movemento – galiziera" lang="gl" hreflang="gl" data-title="Cantidade de movemento" data-language-autonym="Galego" data-language-local-name="galiziera" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B5%E0%AB%87%E0%AA%97%E0%AA%AE%E0%AA%BE%E0%AA%A8_%E0%AA%B8%E0%AA%82%E0%AA%B0%E0%AA%95%E0%AB%8D%E0%AA%B7%E0%AA%A3%E0%AA%A8%E0%AB%8B_%E0%AA%A8%E0%AA%BF%E0%AA%AF%E0%AA%AE" title="વેગમાન સંરક્ષણનો નિયમ – gujaratera" lang="gu" hreflang="gu" data-title="વેગમાન સંરક્ષણનો નિયમ" data-language-autonym="ગુજરાતી" data-language-local-name="gujaratera" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%AA%D7%A0%D7%A2" title="תנע – hebreera" lang="he" hreflang="he" data-title="תנע" data-language-autonym="עברית" data-language-local-name="hebreera" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B5%E0%A5%87%E0%A4%97_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)" title="संवेग (भौतिकी) – hindia" lang="hi" hreflang="hi" data-title="संवेग (भौतिकी)" data-language-autonym="हिन्दी" data-language-local-name="hindia" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja – kroaziera" lang="hr" hreflang="hr" data-title="Količina gibanja" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Elan" title="Elan – Haitiko kreolera" lang="ht" hreflang="ht" data-title="Elan" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitiko kreolera" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Lend%C3%BClet" title="Lendület – hungariera" lang="hu" hreflang="hu" data-title="Lendület" data-language-autonym="Magyar" data-language-local-name="hungariera" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BB%D5%B4%D5%BA%D5%B8%D6%82%D5%AC%D5%BD_(%D5%B7%D5%A1%D6%80%D5%AA%D5%B4%D5%A1%D5%B6_%D6%84%D5%A1%D5%B6%D5%A1%D5%AF)" title="Իմպուլս (շարժման քանակ) – armeniera" lang="hy" hreflang="hy" data-title="Իմպուլս (շարժման քանակ)" data-language-autonym="Հայերեն" data-language-local-name="armeniera" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Momentum" title="Momentum – indonesiera" lang="id" hreflang="id" data-title="Momentum" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Skri%C3%B0%C3%BEungi" title="Skriðþungi – islandiera" lang="is" hreflang="is" data-title="Skriðþungi" data-language-autonym="Íslenska" data-language-local-name="islandiera" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Quantit%C3%A0_di_moto" title="Quantità di moto – italiera" lang="it" hreflang="it" data-title="Quantità di moto" data-language-autonym="Italiano" data-language-local-name="italiera" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%81%8B%E5%8B%95%E9%87%8F" title="運動量 – japoniera" lang="ja" hreflang="ja" data-title="運動量" data-language-autonym="日本語" data-language-local-name="japoniera" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Mom%C3%A8ntum" title="Momèntum – javera" lang="jv" hreflang="jv" data-title="Momèntum" data-language-autonym="Jawa" data-language-local-name="javera" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%98%E1%83%9B%E1%83%9E%E1%83%A3%E1%83%9A%E1%83%A1%E1%83%98" title="იმპულსი – georgiera" lang="ka" hreflang="ka" data-title="იმპულსი" data-language-autonym="ქართული" data-language-local-name="georgiera" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%94%D0%B5%D0%BD%D0%B5_%D0%B8%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81%D1%96" title="Дене импульсі – kazakhera" lang="kk" hreflang="kk" data-title="Дене импульсі" data-language-autonym="Қазақша" data-language-local-name="kazakhera" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%86%E0%B2%B5%E0%B3%87%E0%B2%97_(%E0%B2%AD%E0%B3%8C%E0%B2%A4%E0%B2%B6%E0%B2%BE%E0%B2%B8%E0%B3%8D%E0%B2%A4%E0%B3%8D%E0%B2%B0)" title="ಆವೇಗ (ಭೌತಶಾಸ್ತ್ರ) – kannada" lang="kn" hreflang="kn" data-title="ಆವೇಗ (ಭೌತಶಾಸ್ತ್ರ)" 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%9A%B4%EB%8F%99%EB%9F%89" title="운동량 – koreera" lang="ko" hreflang="ko" data-title="운동량" data-language-autonym="한국어" data-language-local-name="koreera" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Momentum" title="Momentum – latina" lang="la" hreflang="la" data-title="Momentum" data-language-autonym="Latina" data-language-local-name="latina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Judesio_kiekis" title="Judesio kiekis – lituaniera" lang="lt" hreflang="lt" data-title="Judesio kiekis" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Impulss" title="Impulss – letoniera" lang="lv" hreflang="lv" data-title="Impulss" data-language-autonym="Latviešu" data-language-local-name="letoniera" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%98%D0%BC%D0%BF%D1%83%D0%BB%D1%81_(%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0)" title="Импулс (механика) – mazedoniera" lang="mk" hreflang="mk" data-title="Импулс (механика)" data-language-autonym="Македонски" data-language-local-name="mazedoniera" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B4%95%E0%B5%8D%E0%B4%95%E0%B4%82" title="ആക്കം – malabarera" lang="ml" hreflang="ml" data-title="ആക്കം" data-language-autonym="മലയാളം" data-language-local-name="malabarera" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Момент – mongoliera" lang="mn" hreflang="mn" data-title="Момент" data-language-autonym="Монгол" data-language-local-name="mongoliera" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B5%E0%A5%87%E0%A4%97" title="संवेग – marathera" lang="mr" hreflang="mr" data-title="संवेग" data-language-autonym="मराठी" data-language-local-name="marathera" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Momentum" title="Momentum – malaysiera" lang="ms" hreflang="ms" data-title="Momentum" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%9F%E1%80%AF%E1%80%94%E1%80%BA" title="အဟုန် – birmaniera" lang="my" hreflang="my" data-title="အဟုန်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmaniera" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Impuls_(Physik)" title="Impuls (Physik) – behe-alemana" lang="nds" hreflang="nds" data-title="Impuls (Physik)" data-language-autonym="Plattdüütsch" data-language-local-name="behe-alemana" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%B5%E0%A5%87%E0%A4%97" title="परिवेग – nepalera" lang="ne" hreflang="ne" data-title="परिवेग" data-language-autonym="नेपाली" data-language-local-name="nepalera" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Impuls_(natuurkunde)" title="Impuls (natuurkunde) – nederlandera" lang="nl" hreflang="nl" data-title="Impuls (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/R%C3%B8rslemengd" title="Rørslemengd – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Rørslemengd" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Bevegelsesmengde" title="Bevegelsesmengde – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Bevegelsesmengde" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Quantitat_de_movement" title="Quantitat de movement – okzitaniera" lang="oc" hreflang="oc" data-title="Quantitat de movement" data-language-autonym="Occitan" data-language-local-name="okzitaniera" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Furguga" title="Furguga – oromoera" lang="om" hreflang="om" data-title="Furguga" data-language-autonym="Oromoo" data-language-local-name="oromoera" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A9%B0%E0%A8%B5%E0%A9%87%E0%A8%97" title="ਸੰਵੇਗ – punjabera" lang="pa" hreflang="pa" data-title="ਸੰਵੇਗ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabera" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/P%C4%99d_(fizyka)" title="Pęd (fizyka) – poloniera" lang="pl" hreflang="pl" data-title="Pęd (fizyka)" data-language-autonym="Polski" data-language-local-name="poloniera" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Quantit%C3%A0_%C3%ABd_moviment" title="Quantità ëd moviment – Piedmontese" lang="pms" hreflang="pms" data-title="Quantità ëd moviment" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%D9%88%D9%85%D9%86%D9%B9%D9%85" title="مومنٹم – Western Punjabi" lang="pnb" hreflang="pnb" data-title="مومنٹم" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Momento_linear" title="Momento linear – portugesa" lang="pt" hreflang="pt" data-title="Momento linear" data-language-autonym="Português" data-language-local-name="portugesa" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Impuls" title="Impuls – errumaniera" lang="ro" hreflang="ro" data-title="Impuls" data-language-autonym="Română" data-language-local-name="errumaniera" 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%98%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Импульс – errusiera" lang="ru" hreflang="ru" data-title="Импульс" data-language-autonym="Русский" data-language-local-name="errusiera" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Impuls" title="Impuls – serbokroaziera" lang="sh" hreflang="sh" data-title="Impuls" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9C%E0%B6%B8%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B6%AD%E0%B7%8F%E0%B7%80%E0%B6%BA" title="ගම්‍යතාවය – sinhala" lang="si" hreflang="si" data-title="ගම්‍යතාවය" data-language-autonym="සිංහල" data-language-local-name="sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Momentum" title="Momentum – Simple English" lang="en-simple" hreflang="en-simple" data-title="Momentum" 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/Hybnos%C5%A5" title="Hybnosť – eslovakiera" lang="sk" hreflang="sk" data-title="Hybnosť" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Gibalna_koli%C4%8Dina" title="Gibalna količina – esloveniera" lang="sl" hreflang="sl" data-title="Gibalna količina" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Runhanhira" title="Runhanhira – shonera" lang="sn" hreflang="sn" data-title="Runhanhira" data-language-autonym="ChiShona" data-language-local-name="shonera" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Vrulli" title="Vrulli – albaniera" lang="sq" hreflang="sq" data-title="Vrulli" data-language-autonym="Shqip" data-language-local-name="albaniera" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%98%D0%BC%D0%BF%D1%83%D0%BB%D1%81" title="Импулс – serbiera" lang="sr" hreflang="sr" data-title="Импулс" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Mom%C3%A9ntum" title="Moméntum – sundanera" lang="su" hreflang="su" data-title="Moméntum" data-language-autonym="Sunda" data-language-local-name="sundanera" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/R%C3%B6relsem%C3%A4ngd" title="Rörelsemängd – suediera" lang="sv" hreflang="sv" data-title="Rörelsemängd" data-language-autonym="Svenska" data-language-local-name="suediera" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%89%E0%AE%A8%E0%AF%8D%E0%AE%A4%E0%AE%AE%E0%AF%8D" title="உந்தம் – tamilera" lang="ta" hreflang="ta" data-title="உந்தம்" data-language-autonym="தமிழ்" data-language-local-name="tamilera" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A6%E0%B1%8D%E0%B0%B0%E0%B0%B5%E0%B1%8D%E0%B0%AF%E0%B0%B5%E0%B1%87%E0%B0%97%E0%B0%82" title="ద్రవ్యవేగం – telugua" lang="te" hreflang="te" data-title="ద్రవ్యవేగం" data-language-autonym="తెలుగు" data-language-local-name="telugua" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%82%E0%B8%A1%E0%B9%80%E0%B8%A1%E0%B8%99%E0%B8%95%E0%B8%B1%E0%B8%A1" title="โมเมนตัม – thailandiera" lang="th" hreflang="th" data-title="โมเมนตัม" data-language-autonym="ไทย" data-language-local-name="thailandiera" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Momentum" title="Momentum – tagaloa" lang="tl" hreflang="tl" data-title="Momentum" data-language-autonym="Tagalog" data-language-local-name="tagaloa" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Momentum" title="Momentum – turkiera" lang="tr" hreflang="tr" data-title="Momentum" data-language-autonym="Türkçe" data-language-local-name="turkiera" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%C4%B0mpuls" title="İmpuls – tatarera" lang="tt" hreflang="tt" data-title="İmpuls" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarera" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%86%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81_(%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%BA%D0%B0)" title="Імпульс (механіка) – ukrainera" lang="uk" hreflang="uk" data-title="Імпульс (механіка)" data-language-autonym="Українська" data-language-local-name="ukrainera" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%B9%DB%8C%D8%A7%D8%B1_%D8%AD%D8%B1%DA%A9%D8%AA" title="معیار حرکت – urdua" lang="ur" hreflang="ur" data-title="معیار حرکت" data-language-autonym="اردو" data-language-local-name="urdua" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Impuls" title="Impuls – uzbekera" lang="uz" hreflang="uz" data-title="Impuls" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99ng_l%C6%B0%E1%BB%A3ng" title="Động lượng – vietnamera" lang="vi" hreflang="vi" data-title="Động lượng" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8A%A8%E9%87%8F" title="动量 – wu txinera" lang="wuu" hreflang="wuu" data-title="动量" data-language-autonym="吴语" data-language-local-name="wu txinera" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%90%D7%99%D7%9E%D7%A4%D7%A2%D7%98" title="אימפעט – yiddisha" lang="yi" hreflang="yi" data-title="אימפעט" data-language-autonym="ייִדיש" data-language-local-name="yiddisha" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8A%A8%E9%87%8F" title="动量 – txinera" lang="zh" hreflang="zh" data-title="动量" data-language-autonym="中文" data-language-local-name="txinera" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%8B%95%E9%87%8F" title="動量 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="動量" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/%C5%AAn-t%C5%8Dng-li%C5%8Dng" title="Ūn-tōng-liōng – Minnan" lang="nan" hreflang="nan" data-title="Ūn-tōng-liōng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8B%95%E9%87%8F" title="動量 – kantonera" lang="yue" hreflang="yue" data-title="動量" data-language-autonym="粵語" data-language-local-name="kantonera" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q41273#sitelinks-wikipedia" title="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Izen-tarteak"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Momentu_lineal" title="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Eztabaida:Momentu_lineal" rel="discussion" title="Artikuluari buruzko eztabaida [t]" accesskey="t"><span>Eztabaida</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Aldatu hizkuntza aldaera" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">euskara</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Ikusketak"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Momentu_lineal"><span>Irakurri</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;action=history" title="Artikulu honen aurreko bertsioak. [h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tresnak</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Momentu_lineal"><span>Irakurri</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;action=history"><span>Ikusi historia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Orokorra </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Berezi:ZerkLotzenDuHona/Momentu_lineal" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Momentu_lineal" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Berezi:OrrialdeBereziak" title="Orri berezi guztien zerrenda [q]" accesskey="q"><span>Orri bereziak</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;oldid=9305493" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&amp;page=Momentu_lineal&amp;id=9305493&amp;wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMomentu_lineal"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMomentu_lineal"><span>QR kodea jaitsi</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Inprimatu/esportatu </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Berezi:Book&amp;bookcmd=book_creator&amp;referer=Momentu+lineal"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&amp;page=Momentu_lineal&amp;action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Momentu_lineal&amp;printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Beste proiektuetan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Momentum" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q41273" title="Datuen biltegi elementu batera lotuta [g]" accesskey="g"><span>Wikidata itema</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itxura"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Itxura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ezkutatu</button> </div> </div> </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">Wikipedia, Entziklopedia askea</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="eu" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r9236167">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output 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0.8em;font-weight:bold}.mw-parser-output .sidebar-collapse .sidebar-above,.mw-parser-output .sidebar-collapse .sidebar-below{border-top:1px solid #aaa;border-bottom:1px solid #aaa}.mw-parser-output .sidebar-navbar{text-align:right;font-size:115%;padding:0 0.4em 0.4em}.mw-parser-output .sidebar-list-title{padding:0 0.4em;text-align:left;font-weight:bold;line-height:1.6em;font-size:105%}.mw-parser-output .sidebar-list-title-c{padding:0 0.4em;text-align:center;margin:0 3.3em}@media(max-width:720px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}</style><table class="sidebar sidebar-collapse nomobile nowraplinks"><tbody><tr><td class="sidebar-pretitle">Artikulu sorta honen partea:</td></tr><tr><th class="sidebar-title-with-pretitle" style="padding-left:0.9em;padding-right:0.9em;"><a href="/wiki/Mekanika_klasiko" title="Mekanika klasiko">Mekanika klasikoa</a></th></tr><tr><td class="sidebar-image"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {F}}=m{\boldsymbol {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>=</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">a</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {F}}=m{\boldsymbol {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0e889207254cfbfab613b8beba214f5e4d2430d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.49ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {F}}=m{\boldsymbol {a}}}"></span><div class="sidebar-caption" style="font-size:90%;padding:0.6em 0;font-style:italic;"><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></div></td></tr><tr><th class="sidebar-heading" style="background:#ddf; display:block;margin-bottom:1.0em;"> <div class="hlist"> <ul><li><a href="/wiki/Mekanika_klasikoaren_historia" title="Mekanika klasikoaren historia">Historia</a></li> <li><a href="/wiki/Mekanika_Klasikoaren_kronologia" class="mw-redirect" title="Mekanika Klasikoaren kronologia">Kronologia</a></li></ul> </div></th></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Adarrak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Mekanika_aplikatua" title="Mekanika aplikatua">Aplikatua</a></li> <li><a href="/wiki/Dinamika" title="Dinamika">Dinamika</a></li> <li><a href="/wiki/Estatika" title="Estatika">Estatika</a></li> <li><a href="/wiki/Zeruko_mekanika" title="Zeruko mekanika">Zerukoa</a></li> <li><a href="/wiki/Zinematika" title="Zinematika">Zinematika</a></li> <li><a href="/wiki/Medio_jarraituen_mekanika" title="Medio jarraituen mekanika">Medio jarraituak</a></li> <li><a href="/w/index.php?title=Zinetika_(fisika)&amp;action=edit&amp;redlink=1" class="new" title="Zinetika (fisika) (sortu gabe)">Zinetika</a></li> <li><a href="/w/index.php?title=Fisika_estatistiko&amp;action=edit&amp;redlink=1" class="new" title="Fisika estatistiko (sortu gabe)">Estatistikoa</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Oinarriak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Abiadura" title="Abiadura">Abiadura</a></li> <li><a href="/wiki/Azelerazio" title="Azelerazio">Azelerazioa</a></li> <li><a href="/wiki/Abiadura-modulu" class="mw-redirect" title="Abiadura-modulu">Abiadura-modulua</a></li> <li><a href="/wiki/Bulkada_(fisika)" title="Bulkada (fisika)">Bulkada</a></li> <li><a href="/w/index.php?title=D%27Alembert-en_printzipioa&amp;action=edit&amp;redlink=1" class="new" title="D&#39;Alembert-en printzipioa (sortu gabe)">D'Alembert-en printzipioa</a></li> <li><a href="/wiki/Denbora" title="Denbora">Denbora</a></li> <li><a href="/wiki/Energia" title="Energia">Energia</a> <ul><li><a href="/wiki/Energia_potentzial" title="Energia potentzial">potentziala</a></li> <li><a href="/wiki/Energia_zinetiko" title="Energia zinetiko">zinetikoa</a></li></ul></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Erreferentzia-sistema_inertzial" title="Erreferentzia-sistema inertzial">Erreferentzia-sistema inertziala</a></li> <li><a href="/wiki/Erreferentzia-sistema_ez-inertzial" title="Erreferentzia-sistema ez-inertzial">Erreferentzia-sistema ez-inertziala</a></li> <li><a href="/wiki/Espazio" title="Espazio">Espazioa</a></li> <li><a href="/wiki/Indar-pare" title="Indar-pare">Indar-parea</a></li> <li><a href="/wiki/Indar" title="Indar">Indarra</a></li> <li><span style="white-space:nowrap"><a href="/wiki/Inertzia" title="Inertzia">Inertzia</a>&#160;/&#32;<a href="/wiki/Inertzia-momentu" title="Inertzia-momentu">Inertzia-momentua</a></span></li> <li><a href="/wiki/Lan_(fisika)" title="Lan (fisika)">Lana</a></li> <li><a href="/w/index.php?title=Lan_birtual&amp;action=edit&amp;redlink=1" class="new" title="Lan birtual (sortu gabe)">Lan birtuala</a></li> <li><a href="/wiki/Masa" title="Masa">Masa</a></li> <li><a href="/w/index.php?title=Momentu_(fisika)&amp;action=edit&amp;redlink=1" class="new" title="Momentu (fisika) (sortu gabe)">Momentua</a></li> <li><a href="/wiki/Momentu_angeluar" title="Momentu angeluar">Momentu angeluarra</a></li> <li><a class="mw-selflink selflink">Momentu lineala</a></li> <li><a href="/wiki/Potentzia" title="Potentzia">Potentzia</a></li> <li><a href="/wiki/Torke" class="mw-redirect" title="Torke">Torkea</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Zientzialariak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo</a></li> <li><a href="/wiki/Christiaan_Huygens" title="Christiaan Huygens">Huygens</a></li> <li><a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton</a></li> <li><a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Kepler</a></li> <li><a href="/w/index.php?title=Jeremiah_Horrocks&amp;action=edit&amp;redlink=1" class="new" title="Jeremiah Horrocks (sortu gabe)">Horrocks</a></li> <li><a href="/wiki/Edmond_Halley" title="Edmond Halley">Halley</a></li> <li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li> <li><a href="/wiki/Jean_le_Rond_d%27Alembert" title="Jean le Rond d&#39;Alembert">d'Alembert</a></li> <li><a href="/wiki/Alexis_Clairaut" title="Alexis Clairaut">Clairaut</a></li> <li><a href="/wiki/Joseph-Louis_Lagrange" title="Joseph-Louis Lagrange">Lagrange</a></li> <li><a href="/wiki/Pierre-Simon_Laplace" title="Pierre-Simon Laplace">Laplace</a></li> <li><a href="/wiki/William_Rowan_Hamilton" title="William Rowan Hamilton">Hamilton</a></li> <li><a href="/wiki/Sim%C3%A9on_Denis_Poisson" title="Siméon Denis Poisson">Poisson</a></li> <li><a href="/wiki/Daniel_Bernoulli" title="Daniel Bernoulli">Daniel Bernoulli</a></li> <li><a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann Bernoulli</a></li> <li><a href="/wiki/Augustin-Louis_Cauchy" title="Augustin-Louis Cauchy">Cauchy</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Muinekoak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Bibrazio" title="Bibrazio">Bibrazioa</a></li> <li><a href="/wiki/Desplazamendu_(fisika)" title="Desplazamendu (fisika)">Desplazamendua</a></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Erreferentzia-sistema_inertzial" title="Erreferentzia-sistema inertzial">Erreferentzia-sistema inertziala</a></li> <li><a href="/wiki/Erreferentzia-sistema_ez-inertzial" title="Erreferentzia-sistema ez-inertzial">Erreferentzia-sistema ez-inertziala</a></li> <li><a href="/wiki/Gorputz_zurrun" title="Gorputz zurrun">Gorputz zurruna</a> <ul><li><a href="/w/index.php?title=Eulerren_ekuazio&amp;action=edit&amp;redlink=1" class="new" title="Eulerren ekuazio (sortu gabe)">Eulerren ekuazioa</a></li> <li><a href="/w/index.php?title=Solido_zurrunaren_mekanika&amp;action=edit&amp;redlink=1" class="new" title="Solido zurrunaren mekanika (sortu gabe)">Solido zurrunaren mekanika</a></li></ul></li> <li><a href="/wiki/Grabitazio_unibertsalaren_legea" title="Grabitazio unibertsalaren legea"><span style="white-space: normal;">Grabitazio unibertsalaren legea</span></a></li> <li><a href="/wiki/Higidura_zuzen" title="Higidura zuzen">Higidura zuzena</a></li> <li><a href="/wiki/Higidura" title="Higidura">Higidura</a></li> <li><a href="/wiki/Marruskadura-indar" title="Marruskadura-indar">Marruskadura-indarra</a></li> <li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li> <li><a href="/wiki/Osziladore_harmoniko" title="Osziladore harmoniko">Osziladore harmonikoa</a></li> <li><a href="/w/index.php?title=Moteltze&amp;action=edit&amp;redlink=1" class="new" title="Moteltze (sortu gabe)">Moteltze</a>(<a href="/w/index.php?title=Moteltze_ratio&amp;action=edit&amp;redlink=1" class="new" title="Moteltze ratio (sortu gabe)">Moteltze ratio</a>)</li> <li><a href="/w/index.php?title=Higiduraren_ekuazio&amp;action=edit&amp;redlink=1" class="new" title="Higiduraren ekuazio (sortu gabe)">Higiduraren ekuazioa</a></li> <li><a href="/w/index.php?title=Eulerren_higiduraren_legeak&amp;action=edit&amp;redlink=1" class="new" title="Eulerren higiduraren legeak (sortu gabe)"><span style="white-space: normal;">Eulerren higiduraren legeak</span></a></li> <li><a href="/w/index.php?title=Itxurazko_indar&amp;action=edit&amp;redlink=1" class="new" title="Itxurazko indar (sortu gabe)">Itxurazko indarra</a></li> <li><a href="/w/index.php?title=Partikula_planarraren_higadura-mekanika&amp;action=edit&amp;redlink=1" class="new" title="Partikula planarraren higadura-mekanika (sortu gabe)">Partikula planarraren higadura-mekanika</a></li> <li><a href="/w/index.php?title=Abiadura_erlatibo&amp;action=edit&amp;redlink=1" class="new" title="Abiadura erlatibo (sortu gabe)">Abiadura erlatiboa</a></li> <li><a href="/wiki/Higidura_harmoniko_sinple" title="Higidura harmoniko sinple">Higidura harmoniko sinple</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;"><a href="/wiki/Biraketa-ardatz" title="Biraketa-ardatz">Biraketa</a></div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Abiadura_angeluar" title="Abiadura angeluar">Abiadura angeluarra</a></li> <li><a href="/wiki/Abiadura" title="Abiadura">Abiadura tangentziala</a></li> <li><a href="/w/index.php?title=Azelerazio_angeluar&amp;action=edit&amp;redlink=1" class="new" title="Azelerazio angeluar (sortu gabe)">Azelerazio angeluarra</a></li> <li><a href="/w/index.php?title=Biraketa-abiadura&amp;action=edit&amp;redlink=1" class="new" title="Biraketa-abiadura (sortu gabe)">Biraketa-abiadura</a></li> <li><a href="/wiki/Coriolis_efektua" title="Coriolis efektua">Coriolis efektua</a></li> <li><a href="/w/index.php?title=Desplazamendu_angeluar&amp;action=edit&amp;redlink=1" class="new" title="Desplazamendu angeluar (sortu gabe)">Desplazamendua</a></li> <li><a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">Erreferentzia-sistema</a></li> <li><a href="/wiki/Higidura_zirkular" title="Higidura zirkular">Higidura zirkular</a></li> <li><a href="/wiki/Indar_zentripetu" title="Indar zentripetu">Indar zentripetu</a></li> <li><a href="/wiki/Indar_zentrifugo" title="Indar zentrifugo">Indar zentrifugo</a></li> <li><a href="/w/index.php?title=Maiztasun_angeluar&amp;action=edit&amp;redlink=1" class="new" title="Maiztasun angeluar (sortu gabe)">Maiztasuna</a></li> <li><a href="/wiki/Pendulu_(matematika)" class="mw-redirect" title="Pendulu (matematika)">Pendulua</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Formulazioak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"> <ul><li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li> <li><a href="/wiki/Mekanika_analitiko" title="Mekanika analitiko">Mekanika analitikoa</a></li> <li><a href="/wiki/Lagrangeren_mekanika" title="Lagrangeren mekanika">Mekanika Lagrangiar</a></li> <li><a href="/w/index.php?title=Mekanika_Hamiltoniar&amp;action=edit&amp;redlink=1" class="new" title="Mekanika Hamiltoniar (sortu gabe)">Mekanika Hamiltoniar</a></li> <li><a href="/w/index.php?title=Mekanika_Routhiar&amp;action=edit&amp;redlink=1" class="new" title="Mekanika Routhiar (sortu gabe)">Mekanika Routhiar</a></li> <li><a href="/w/index.php?title=Hamilton%E2%80%93Jacobi_ekuazioa&amp;action=edit&amp;redlink=1" class="new" title="Hamilton–Jacobi ekuazioa (sortu gabe)">Hamilton–Jacobi ekuazioa</a></li> <li><a href="/w/index.php?title=Appellen_higidura-ekuazioa&amp;action=edit&amp;redlink=1" class="new" title="Appellen higidura-ekuazioa (sortu gabe)">Appellen higidura-ekuazioa</a></li> <li><a href="/w/index.php?title=Koopman%E2%80%93von_Neumann_mekanika_klasiko&amp;action=edit&amp;redlink=1" class="new" title="Koopman–von Neumann mekanika klasiko (sortu gabe)">Koopman–von Neumann mekanika</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf;text-align:center;">Kategoriak</div><div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"><div class="hlist"><div class="CategoryTreeTag" data-ct-options="{&quot;mode&quot;:0,&quot;hideprefix&quot;:20,&quot;showcount&quot;:false,&quot;namespaces&quot;:false,&quot;notranslations&quot;:false}"><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Mekanika_klasikoa" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Kategoria:Mekanika_klasikoa" title="Kategoria:Mekanika klasikoa">Mekanika klasikoa</a></bdi></div><div class="CategoryTreeChildren" style="display:none"></div></div></div> </div></div></div></td> </tr><tr><td class="sidebar-navbar" style="padding-top:0.15em;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9236167"><style data-mw-deduplicate="TemplateStyles:r9235565">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-ikusi"><a href="/wiki/Txantiloi:Mekanika_klasikoa" title="Txantiloi:Mekanika klasikoa"><abbr title="Txantiloi hau ikusi">i</abbr></a></li><li class="nv-eztabaida"><a href="/w/index.php?title=Txantiloi_eztabaida:Mekanika_klasikoa&amp;action=edit&amp;redlink=1" class="new" title="Txantiloi eztabaida:Mekanika klasikoa (sortu gabe)"><abbr title="Txantiloi hau eztabaidatu">e</abbr></a></li><li class="nv-aldatu"><a class="external text" href="https://eu.wikipedia.org/w/index.php?title=Txantiloi:Mekanika_klasikoa&amp;action=edit"><abbr title="Txantiloi hau aldatu">a</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Higidura-kantitatea</b>, <b>momentu lineala</b> edo <b>abiadura</b><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> <a href="/w/index.php?title=Aldiune&amp;action=edit&amp;redlink=1" class="new" title="Aldiune (sortu gabe)">aldiune</a> bateko <a href="/wiki/Masa" title="Masa">masa</a> eta <a href="/wiki/Abiadura" title="Abiadura">abiaduraren</a> arteko <a href="/wiki/Biderketa" title="Biderketa">biderkadura</a> da. Masa <a href="/w/index.php?title=Magnitude_eskalar&amp;action=edit&amp;redlink=1" class="new" title="Magnitude eskalar (sortu gabe)">magnitude eskalarra</a> da da eta abiadura <a href="/wiki/Magnitude_bektorial" class="mw-redirect" title="Magnitude bektorial">magnitude bektorial</a> beraz, <b>momentu lineala</b> <a href="/wiki/Magnitude" class="mw-redirect mw-disambig" title="Magnitude">magnitude</a> <a href="/wiki/Bektore_(argipena)" class="mw-disambig" title="Bektore (argipena)">bektoriala</a> da. Esan beharra dago, magnitude bektorial guztien moduan, <b>momentu lineala</b> <a href="/w/index.php?title=Behatzaile&amp;action=edit&amp;redlink=1" class="new" title="Behatzaile (sortu gabe)">behatzailearen</a> <a href="/wiki/Erreferentzia-sistema" title="Erreferentzia-sistema">erreferentzia-sistemaren</a> menpe dagoela; hau da, behatzaile guztientzako gorputz baten abiadura berdina ez denez <b>momentua</b> ere ez da izango. </p> <center><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}}=m\cdot {\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">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}=m\cdot {\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4d3f38ffd34b0af51d3e8749a303eb1543ea3baa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:9.408ex; height:2.676ex;" alt="{\displaystyle {\vec {p}}=m\cdot {\vec {v}}}"></span></center> <p><b>Momentu</b> ingeleseko <i>momentum hitzetik eratorria da eta ez da nahastu behar "aldiune" kontzeptuarekin.</i> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Kontserbazioa">Kontserbazioa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=1" title="Aldatu atal hau: «Kontserbazioa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Kontserbazioa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="kalkulu_diferentziala_erabiliz"><a href="/wiki/Kalkulu_diferentzial" title="Kalkulu diferentzial">kalkulu diferentziala</a> erabiliz</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=2" title="Aldatu atal hau: «kalkulu diferentziala erabiliz»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: kalkulu diferentziala erabiliz"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kanpo <a href="/wiki/Indar" title="Indar">indarrak</a> nuluak diren sistema isolatu baten <b>momentu lineala</b> kontserbatzen da. Sistema hauei <a href="/w/index.php?title=Sistema_inertzial&amp;action=edit&amp;redlink=1" class="new" title="Sistema inertzial (sortu gabe)">sistema inertzialak</a> deitzen zaie: </p> <center><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 \sum {}{\vec {p}}=konstante}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum {}{\vec {p}}=konstante}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42fb133093c85c841f36c85609fc7ec76e1fd84f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:18.377ex; height:3.843ex;" alt="{\displaystyle \sum {}{\vec {p}}=konstante}"></span></center> <p><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen bigarren legearen</a> arabera badakigu: </p> <center><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 {F}}=m\cdot {\vec {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}=m\cdot {\vec {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/034e124a091e820eefc9790a82b5d6ce2800291e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.819ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}=m\cdot {\vec {a}}}"></span></center> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><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 {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef40edff397a115ecdce7d3518001dfcc7f37d9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.771ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}}"></span>&#160;: indarra</dd> <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 {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/546e6615827e17295718741fd0b86f639a947f16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:2.343ex;" alt="{\displaystyle {\vec {a}}}"></span>&#160;: <a href="/wiki/Azelerazio" title="Azelerazio">azelerazioa</a></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>Eta, aldi berean, azelerazioa: </p> <center><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 {a}}={\frac {d{\vec {v}}}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {a}}={\frac {d{\vec {v}}}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a57960ad9ea1c01bbacb04cf52b918e68b38897c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.556ex; height:5.509ex;" alt="{\displaystyle {\vec {a}}={\frac {d{\vec {v}}}{dt}}}"></span></center> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span>&#160;: <a href="/wiki/Denbora" title="Denbora">denbora</a></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>Beraz, indarra: </p> <center><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 {F}}={\frac {d{\vec {p}}}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}={\frac {d{\vec {p}}}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15c426b3f1ea30d7f5c1edbfe6865c88861f6b2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.247ex; height:5.676ex;" alt="{\displaystyle {\vec {F}}={\frac {d{\vec {p}}}{dt}}}"></span></center> <p>Baina, aurretik esan dugun bezala, kanpo indarrak nuluak direnez: </p> <center><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}}=konstante}"> <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">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}=konstante}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5f3f4af10115a1e65cf245a7a6e91e6ac74b287" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:14.724ex; height:2.676ex;" alt="{\displaystyle {\vec {p}}=konstante}"></span></center> <div class="mw-heading mw-heading3"><h3 id="kalkulu_diferentziala_erabili_gabe">kalkulu diferentziala erabili gabe</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=3" title="Aldatu atal hau: «kalkulu diferentziala erabili gabe»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: kalkulu diferentziala erabili gabe"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Berriro ere Newtonen bigarren legea erabiliz: </p> <center><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 {F}}=m\cdot {\vec {a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}=m\cdot {\vec {a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/034e124a091e820eefc9790a82b5d6ce2800291e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.819ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}=m\cdot {\vec {a}}}"></span></center> <p>Eta azelerazioa, beste era batean: </p> <center><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 {a}}={\frac {\Delta {\vec {v}}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {a}}={\frac {\Delta {\vec {v}}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/deb8d635159df044bc68bb83e201f056708003d8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.276ex; height:5.509ex;" alt="{\displaystyle {\vec {a}}={\frac {\Delta {\vec {v}}}{\Delta t}}}"></span></center> <p>Beraz, indarra: </p> <center><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 {F}}=m{\frac {\Delta {\vec {v}}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}=m{\frac {\Delta {\vec {v}}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fcf9a65affde62fd0990f12dfcc10c6e5dfd4ec8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:10.857ex; height:5.509ex;" alt="{\displaystyle {\vec {F}}=m{\frac {\Delta {\vec {v}}}{\Delta t}}}"></span></center> <center><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 {F}}={\frac {m\Delta {\vec {v}}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}={\frac {m\Delta {\vec {v}}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3d8179ceebd1a3d601db35847462a0793bf156d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:10.857ex; height:5.509ex;" alt="{\displaystyle {\vec {F}}={\frac {m\Delta {\vec {v}}}{\Delta t}}}"></span></center> <p>Momentuaren aldaketa ataletik ordezkatuz: </p> <center><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 {F}}={\frac {\Delta {\vec {p}}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}={\frac {\Delta {\vec {p}}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42ce292ac453cd8d504654c78e08252910590419" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.967ex; height:5.676ex;" alt="{\displaystyle {\vec {F}}={\frac {\Delta {\vec {p}}}{\Delta t}}}"></span></center> <p>Baina, aurretik esan dugun bezala, kanpo indarrak nuluak direnez: </p> <center><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 {\vec {p}}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\vec {p}}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78ebee1f6e4e135af263c44b2211b27be48975c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.522ex; height:2.676ex;" alt="{\displaystyle \Delta {\vec {p}}=0}"></span></center> <div class="mw-heading mw-heading2"><h2 id="Bulkada">Bulkada</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=4" title="Aldatu atal hau: «Bulkada»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Bulkada"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bulkada (betiere masa konstante kontsideratuz) abiaduraren aldaketaren menpekoa da: </p> <center><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 {I}}=\Delta {\vec {p}}=m\cdot \Delta {\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>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {I}}=\Delta {\vec {p}}=m\cdot \Delta {\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2ea0e54eb659c3770e59bc0a9a11fdfc7f26243f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.776ex; height:3.176ex;" alt="{\displaystyle {\vec {I}}=\Delta {\vec {p}}=m\cdot \Delta {\vec {v}}}"></span></center> <p><b>I</b> letraz adierazten da. Gaztelerazko eta beste hainbat hizkuntzetako hitzak (<i>impulso</i>, <i>impuls</i>, <i>impulse</i>) I-z hasten baitira. </p><p><br /> Era integralean eta <a href="/wiki/Indar" title="Indar">indarrarekin</a> alderatuz: </p> <center><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 \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0cb85ab79a238ae1ffc6eebba5ff9a7492b0a0ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:18.961ex; height:7.009ex;" alt="{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}dt}"></span></center> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><small><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> <mspace width="thinmathspace" /> </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/1d73aa5354c24942dab5316be466465a9d171510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.617ex; height:1.676ex;" alt="{\displaystyle a\,}"></span></small>&#160;: amaierako <a href="/w/index.php?title=Aldiune&amp;action=edit&amp;redlink=1" class="new" title="Aldiune (sortu gabe)">aldiunean</a> adierazten du</dd> <dd><small><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 h\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cecd947e6666832fcc39909b00dbde70caa9cf8c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.726ex; height:2.176ex;" alt="{\displaystyle h\,}"></span></small>&#160;: hasierako aldiunean adierazten du</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Talkak"><a href="/wiki/Talka_(fisika)" title="Talka (fisika)">Talkak</a></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=5" title="Aldatu atal hau: «Talkak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Talkak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="talka_elastikoak"><a href="/wiki/Talka_elastiko" title="Talka elastiko">talka elastikoak</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=6" title="Aldatu atal hau: «talka elastikoak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: talka elastikoak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bi edo hainbat partikulen arteko talka elastikoetan partikula guztien momentuen batura konstante mantentzen da talkaren aurretik eta ostean. </p> <center><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 \sum _{i}^{n}{p_{i}}=\sum _{j}^{m}{p_{j}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> <mo>=</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i}^{n}{p_{i}}=\sum _{j}^{m}{p_{j}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7c0193a4224fcbad714578cc7c8bccfb4f69d47" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:14.631ex; height:7.176ex;" alt="{\displaystyle \sum _{i}^{n}{p_{i}}=\sum _{j}^{m}{p_{j}}}"></span></center> <p>Adibide moduan, bi partikulen arteko talka elastikoaren eragina <b>momentu lienal</b>ean: </p> <center><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_{1}{\vec {v}}_{1}+m_{2}{\vec {v}}_{2}=m_{1}{\vec {v}}_{1}'+m_{2}{\vec {v}}_{2}'}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mo>&#x2032;</mo> </msubsup> <mo>+</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mo>&#x2032;</mo> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{1}{\vec {v}}_{1}+m_{2}{\vec {v}}_{2}=m_{1}{\vec {v}}_{1}'+m_{2}{\vec {v}}_{2}'}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2d2165b62cc91b9a712c2ad5afd2dd9686ab9286" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.076ex; height:3.176ex;" alt="{\displaystyle m_{1}{\vec {v}}_{1}+m_{2}{\vec {v}}_{2}=m_{1}{\vec {v}}_{1}&#039;+m_{2}{\vec {v}}_{2}&#039;}"></span></center> <div class="mw-heading mw-heading3"><h3 id="talka_inelastikoak"><a href="/wiki/Talka_inelastiko" title="Talka inelastiko">talka inelastikoak</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=7" title="Aldatu atal hau: «talka inelastikoak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: talka inelastikoak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading2"><h2 id="Beste_arlo_batzuekin_daukan_erlazioa">Beste arlo batzuekin daukan erlazioa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=8" title="Aldatu atal hau: «Beste arlo batzuekin daukan erlazioa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=8" title="Edit section&#039;s source code: Beste arlo batzuekin daukan erlazioa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="partikulen_bitasuna">partikulen bitasuna</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=9" title="Aldatu atal hau: «partikulen bitasuna»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=9" title="Edit section&#039;s source code: partikulen bitasuna"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Elektroi" title="Elektroi">Elektroien</a> <a href="/wiki/Difrakzio" class="mw-redirect" title="Difrakzio">difrakzioa</a> aurkitu zenean <a href="/wiki/Louis_de_Broglie" title="Louis de Broglie">Louis-Victor de Brogliek</a> proposatu zuen higiduran dagoen edozein partikulak <a href="/w/index.php?title=Uhin_higidura&amp;action=edit&amp;redlink=1" class="new" title="Uhin higidura (sortu gabe)">uhin higidura</a> daukala eta bere <a href="/wiki/Uhin-luzera" title="Uhin-luzera">uhin-luzera</a> hauxe dela: </p> <center><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 \lambda ={\frac {h}{\vec {\mathbf {p} }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BB;<!-- λ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ={\frac {h}{\vec {\mathbf {p} }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6637b71ab8ba7761a8b8bec542409cfe7044f59" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:6.775ex; height:6.009ex;" alt="{\displaystyle \lambda ={\frac {h}{\vec {\mathbf {p} }}}}"></span></center> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><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 \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BB;<!-- λ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span>&#160;: <a href="/wiki/Uhin" title="Uhin">uhinaren</a> uhin luzera</dd> <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 h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span>&#160;: <a href="/wiki/Plancken_konstantea" title="Plancken konstantea">Plancken konstantea</a> (6,6256 · 10<sup>-34</sup> J·s)</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Newtonen_legeak">Newtonen legeak</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=10" title="Aldatu atal hau: «Newtonen legeak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=10" title="Edit section&#039;s source code: Newtonen legeak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="font-style: italic; padding-left: 2em; margin-bottom: 0.5em;">Sakontzeko, irakurri: «<a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a>»</div> <p><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newtonek</a> proposatutako hiru lege ezagunekin daukan erlazioa. Ikusten denez, legeak euren artean harreman handia daukate. </p> <div class="mw-heading mw-heading4"><h4 id="Newtonen_lehenengo_legea">Newtonen lehenengo legea</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=11" title="Aldatu atal hau: «Newtonen lehenengo legea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=11" title="Edit section&#039;s source code: Newtonen lehenengo legea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Newtonen lehenengo legeak edo <a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileoren</a> printzipioak adierazten duenez, </p> <ul><li><i>gorputz bati indarrik eragiten ez bazaizkio lerro zuzenean eta abiadura konstantean higituko da</i></li></ul> <p>beraz, kanpo-indarrik ez badago <b>momentu lineala</b> konstantea izango da. </p><p>Hori aurretik aipatutako bulkadaren kasu berezi bat da: </p> <center><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 \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dcf22894cbef460259436fc0a92b22b2a4eee465" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:20.64ex; height:7.009ex;" alt="{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=\int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt}"></span></center> <center><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 \int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b342191fe28982ad24863a1c575c2e7ce0f7c254" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:14.314ex; height:6.509ex;" alt="{\displaystyle \int _{t_{h}}^{t_{a}}{\vec {F}}\cdot dt=0}"></span></center> <center><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 \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3bb7103f546461ad516476284c0736e587e69121" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:11.749ex; height:7.009ex;" alt="{\displaystyle \int _{{\vec {p}}_{h}}^{{\vec {p}}_{a}}d{\vec {p}}=0}"></span></center> <center><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}}_{a}-{\vec {p}}_{h}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}_{a}-{\vec {p}}_{h}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/00831c91cbf365c8da9939df6f76519549b4d0e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:12.122ex; height:2.843ex;" alt="{\displaystyle {\vec {p}}_{a}-{\vec {p}}_{h}=0}"></span></center> <center><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}}_{a}={\vec {p}}_{h}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}_{a}={\vec {p}}_{h}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/beed8ee3f22f71af09f9b66a9b05417b07f4d1aa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:8.119ex; height:2.843ex;" alt="{\displaystyle {\vec {p}}_{a}={\vec {p}}_{h}}"></span></center> <p>beraz, </p> <center><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}}=konstante}"> <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">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}=konstante}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5f3f4af10115a1e65cf245a7a6e91e6ac74b287" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:14.724ex; height:2.676ex;" alt="{\displaystyle {\vec {p}}=konstante}"></span></center> <p>ondorioz, </p> <center><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 {I}}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {I}}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41a785e2ecc233c4f515aac97927a9568b3ae9c9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.748ex; height:2.843ex;" alt="{\displaystyle {\vec {I}}=0}"></span></center> <div class="mw-heading mw-heading4"><h4 id="Newtonen_bigarren_legea">Newtonen bigarren legea</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=12" title="Aldatu atal hau: «Newtonen bigarren legea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=12" title="Edit section&#039;s source code: Newtonen bigarren legea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Gaur egun Newtonen bigarren legea horrela definitzen da: </p><p><i>Indar guztien batura eta denborarekiko momentu linealaren aldaketa berdina da</i> </p> <center><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 {F}}={\frac {d{\vec {p}}}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}={\frac {d{\vec {p}}}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15c426b3f1ea30d7f5c1edbfe6865c88861f6b2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.247ex; height:5.676ex;" alt="{\displaystyle {\vec {F}}={\frac {d{\vec {p}}}{dt}}}"></span></center> <p><br /> Ikus dezakegunez, lehenengo legearekin eta bulkadarekin harreman handia dauka: </p><p>1.go legearekin: </p> <center><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 {F}}=0\rightarrow {\vec {p}}=konstante}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> <mo stretchy="false">&#x2192;<!-- → --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>k</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>t</mi> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}=0\rightarrow {\vec {p}}=konstante}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eaf31a18e5f8b71622d0f02e241854976ddc9bb7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:24.281ex; height:3.176ex;" alt="{\displaystyle {\vec {F}}=0\rightarrow {\vec {p}}=konstante}"></span></center> <p>Bulkadarekin: </p> <center><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 {F}}dt=d{\vec {p}}\rightarrow \int _{t_{h}}^{t_{a}}{\vec {F}}dt=\int _{p_{h}}^{p_{a}}d{\vec {p}}\rightarrow I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mi>d</mi> <mi>t</mi> <mo>=</mo> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>h</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> </msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}dt=d{\vec {p}}\rightarrow \int _{t_{h}}^{t_{a}}{\vec {F}}dt=\int _{p_{h}}^{p_{a}}d{\vec {p}}\rightarrow I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81f7d7733c65de95fd65fe083df429fd7f52210c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:36.66ex; height:6.509ex;" alt="{\displaystyle {\vec {F}}dt=d{\vec {p}}\rightarrow \int _{t_{h}}^{t_{a}}{\vec {F}}dt=\int _{p_{h}}^{p_{a}}d{\vec {p}}\rightarrow I}"></span></center> <div class="mw-heading mw-heading4"><h4 id="Newtonen_hirugarren_legea">Newtonen hirugarren legea</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=13" title="Aldatu atal hau: «Newtonen hirugarren legea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=13" title="Edit section&#039;s source code: Newtonen hirugarren legea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Newtonen hirugarren legeak hauxe dio: </p><p><i>gorputz batek beste bati indar bat eragiten badio, beste honek lehenengoari indar bat eragingo dio modulu eta norabide berdinekoa baina norantza ezberdinekoa:</i> </p> <center><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 {F}}_{12}=-{\vec {F}}_{21}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>21</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}_{12}=-{\vec {F}}_{21}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4be31cb8dc46696bb060b80d504a4cf1ee54015d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.201ex; height:3.176ex;" alt="{\displaystyle {\vec {F}}_{12}=-{\vec {F}}_{21}}"></span></center><p><i></i> </p><p>Gorputz biren arteko elkarrekintzaren ondorioz baten momentu lineala aldatzen bada bestearena ere aldatuko du lege hau betez: </p> <center><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 {\frac {d{\vec {p}}_{1}}{dt}}=-{\frac {d{\vec {p}}_{2}}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {d{\vec {p}}_{1}}{dt}}=-{\frac {d{\vec {p}}_{2}}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61c166f7974d79b8459dc2c8e75a5d60555e58c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:13.769ex; height:5.676ex;" alt="{\displaystyle {\frac {d{\vec {p}}_{1}}{dt}}=-{\frac {d{\vec {p}}_{2}}{dt}}}"></span></center> <p>Betiere, sistema isolatua dela kontsideratuz. </p> <div class="mw-heading mw-heading2"><h2 id="Fisika_modernoan"><a href="/w/index.php?title=Fisika_moderno&amp;action=edit&amp;redlink=1" class="new" title="Fisika moderno (sortu gabe)">Fisika modernoan</a></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=14" title="Aldatu atal hau: «Fisika modernoan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=14" title="Edit section&#039;s source code: Fisika modernoan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Fisika_erlatibistan"><a href="/wiki/Erlatibitatearen_teoria" title="Erlatibitatearen teoria">Fisika erlatibistan</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=15" title="Aldatu atal hau: «Fisika erlatibistan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=15" title="Edit section&#039;s source code: Fisika erlatibistan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Fisika_kuantikoan"><a href="/wiki/Fisika_kuantiko" class="mw-redirect" title="Fisika kuantiko">Fisika kuantikoan</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=16" title="Aldatu atal hau: «Fisika kuantikoan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=16" title="Edit section&#039;s source code: Fisika kuantikoan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Elektromagnetismoan"><a href="/wiki/Elektromagnetismo" title="Elektromagnetismo">Elektromagnetismoan</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=17" title="Aldatu atal hau: «Elektromagnetismoan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=17" title="Edit section&#039;s source code: Elektromagnetismoan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=18" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=18" title="Edit section&#039;s source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text"><span class="citation">&#32;</span> <span class="citation" id="CITEREFSarasola1997">Sarasola,&#32;Ibon. &#32;(1997).&#32;<a rel="nofollow" class="external text" href="https://books.google.es/books?id=RW1xwiGp55MC&amp;pg=PA18&amp;lpg=PA18&amp;dq=abiadura&amp;source=bl&amp;ots=oKBpEnYQ6m&amp;sig=ACfU3U2UN5KSGMXLjW4GTIdwCICtSmUXuw&amp;hl=es&amp;sa=X&amp;ved=2ahUKEwjR7f7QptXwAhVJu3EKHegAC6cQ6AEwCHoECAcQAw#v=onepage&amp;q=abiadura&amp;f=false"><i>Euskara batuaren ajeak. </i></a>&#32;Alberdania,&#160;18&#160;or.&#32;<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-84-88669-50-6" title="Berezi:BookSources/978-84-88669-50-6">978-84-88669-50-6</a>.&#32;<span class="reference-accessdate"><small>(Noiz kontsultatua: 2022-03-27)</small></span></span>.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Ikus,_gainera"><span id="Ikus.2C_gainera"></span>Ikus, gainera</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=19" title="Aldatu atal hau: «Ikus, gainera»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=19" title="Edit section&#039;s source code: Ikus, gainera"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Indar_momentu" title="Indar momentu">momentu</a></li> <li><a href="/wiki/Abiadura" title="Abiadura">abiadura</a></li> <li><a href="/wiki/Bektore_(argipena)" class="mw-disambig" title="Bektore (argipena)">bektore</a></li> <li><a href="/wiki/Bulkada_(argipena)" class="mw-disambig" title="Bulkada (argipena)">bulkada</a></li> <li><a href="/wiki/Masa" title="Masa">masa</a></li> <li><a href="/wiki/Newtonen_legeak" title="Newtonen legeak">Newtonen legeak</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Iturriak">Iturriak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=20" title="Aldatu atal hau: «Iturriak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=20" title="Edit section&#039;s source code: Iturriak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Udako_Euskal_Unibertsitatea" title="Udako Euskal Unibertsitatea">UEUko</a> fisika saila. <i>Fisika orokorra</i>. <a href="/wiki/Berezi:BookSources/84-8438-045-9" title="Berezi:BookSources/84-8438-045-9">ISBN 84-8438-045-9</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Momentu_lineal&amp;veaction=edit&amp;section=21" title="Aldatu atal hau: «Kanpo estekak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Momentu_lineal&amp;action=edit&amp;section=21" title="Edit section&#039;s source code: Kanpo estekak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="clear:both;"></div><style data-mw-deduplicate="TemplateStyles:r7786466">.mw-parser-output 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navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><b>Wikimedia proiektuak</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q41273" class="extiw" title="wikidata:Q41273">Q41273</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Momentum">Momentum</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&amp;search=%22Q41273%22">Q41273</a></span></span></li></ul> <hr /> <ul><li><b>Identifikadoreak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Integrated_Authority_File" class="mw-redirect" title="Integrated Authority File">GND</a>:</span> <span class="uid"><a 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href="https://www.britannica.com/science/momentum">url</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q41273" class="extiw" title="wikidata:Q41273">Q41273</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" 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