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href="https://creativecommons.org/licenses/by-sa/4.0/deed.ca"> <link rel="alternate" type="application/atom+xml" title="Canal de sindicació Atom Viquipèdia" href="/w/index.php?title=Especial:Canvis_recents&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Impuls_física rootpage-Impuls_física skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Vés al contingut</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Lloc"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Menú principal" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-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-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Menú principal</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Menú principal</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">amaga</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navegació </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portada" title="Visiteu la pàgina principal [z]" accesskey="z"><span>Portada</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Especial:Article_aleatori" title="Carrega una pàgina a l’atzar [x]" accesskey="x"><span>Article a l'atzar</span></a></li><li id="n-Articles-de-qualitat" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Articles_de_qualitat"><span>Articles de qualitat</span></a></li> </ul> </div> </div> <div id="p-Comunitat" class="vector-menu mw-portlet mw-portlet-Comunitat" > <div class="vector-menu-heading"> Comunitat </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Portal" title="Sobre el projecte, què podeu fer, on trobareu les coses"><span>Portal viquipedista</span></a></li><li id="n-Agenda-d'actes" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Trobades"><span>Agenda d'actes</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:Canvis_recents" title="Una llista dels canvis recents al wiki [r]" accesskey="r"><span>Canvis recents</span></a></li><li id="n-La-taverna" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:La_taverna"><span>La taverna</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Contacte"><span>Contacte</span></a></li><li id="n-Xat" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Canals_IRC"><span>Xat</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Ajuda" title="El lloc per a saber més coses"><span>Ajuda</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Portada" 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="Viquipèdia" src="/static/images/mobile/copyright/wikipedia-wordmark-ca.svg" style="width: 7.5em; height: 1.4375em;"> <img class="mw-logo-tagline" alt="l'Enciclopèdia Lliure" src="/static/images/mobile/copyright/wikipedia-tagline-ca.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </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/Especial:Cerca" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Cerca a la Viquipèdia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Cerca</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="Cerca a Viquipèdia" aria-label="Cerca a Viquipèdia" autocapitalize="sentences" title="Cerca a la Viquipèdia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Especial:Cerca"> </div> <button class="cdx-button cdx-search-input__end-button">Cerca</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Eines personals"> <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="Aparença"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page'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="Aparença" > <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">Aparença</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&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca" class=""><span>Donatius</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=Especial:Crea_compte&returnto=Impuls+%28f%C3%ADsica%29" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori" class=""><span>Crea un compte</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=Especial:Registre_i_entrada&returnto=Impuls+%28f%C3%ADsica%29" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o" class=""><span>Inicia la sessió</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="Més opcions" > <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="Eines personals" > <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">Eines personals</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menú d'usuari" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca"><span>Donatius</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crea_compte&returnto=Impuls+%28f%C3%ADsica%29" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crea un compte</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Registre_i_entrada&returnto=Impuls+%28f%C3%ADsica%29" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Inicia la sessió</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"> Pàgines per a editors no registrats <a href="/wiki/Ajuda:Introducci%C3%B3" aria-label="Vegeu més informació sobre l'edició"><span>més informació</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/Especial:Contribucions_pr%C3%B2pies" title="Una llista de les modificacions fetes des d'aquesta adreça IP [y]" accesskey="y"><span>Contribucions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:Discussi%C3%B3_personal" title="Discussió sobre les edicions per aquesta adreça ip. [n]" accesskey="n"><span>Discussió per aquest IP</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Lloc"> <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="Contingut" 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">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</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">Inici</div> </a> </li> <li id="toc-Impuls_en_un_objecte_de_massa_constant" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Impuls_en_un_objecte_de_massa_constant"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Impuls en un objecte de massa constant</span> </div> </a> <ul id="toc-Impuls_en_un_objecte_de_massa_constant-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Col·lisió" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Col·lisió"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Col·lisió</span> </div> </a> <button aria-controls="toc-Col·lisió-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>Commuta la subsecció Col·lisió</span> </button> <ul id="toc-Col·lisió-sublist" class="vector-toc-list"> <li id="toc-Col·lisió_elàstica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Col·lisió_elàstica"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Col·lisió elàstica</span> </div> </a> <ul id="toc-Col·lisió_elàstica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Col·lisió_inelàstica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Col·lisió_inelàstica"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Col·lisió inelàstica</span> </div> </a> <ul id="toc-Col·lisió_inelàstica-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-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="Contingut" 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="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Impuls (física)</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="Vés a un article en una altra llengua. Disponible en 57 llengües" > <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-57" 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">57 llengües</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D9%86%D8%AF%D9%81%D8%A7%D8%B9" title="اندفاع - àrab" lang="ar" hreflang="ar" data-title="اندفاع" data-language-autonym="العربية" data-language-local-name="àrab" 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%98%E0%A6%BE%E0%A6%A4%E0%A6%AC%E0%A6%B2" title="ঘাতবল - assamès" lang="as" hreflang="as" data-title="ঘাতবল" data-language-autonym="অসমীয়া" data-language-local-name="assamès" 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/Impulsu" title="Impulsu - asturià" lang="ast" hreflang="ast" data-title="Impulsu" data-language-autonym="Asturianu" data-language-local-name="asturià" class="interlanguage-link-target"><span>Asturianu</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_%D1%81%D1%96%D0%BB%D1%8B" title="Імпульс сілы - belarús" lang="be" hreflang="be" data-title="Імпульс сілы" data-language-autonym="Беларуская" data-language-local-name="belarús" 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_%D1%81%D1%96%D0%BB%D1%8B" title="Імпульс сілы - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Імпульс сілы" 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%BD%D0%B0_%D1%81%D0%B8%D0%BB%D0%B0" title="Импулс на сила - búlgar" lang="bg" hreflang="bg" data-title="Импулс на сила" data-language-autonym="Български" data-language-local-name="búlgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%98%E0%A6%BE%E0%A6%A4_(%E0%A6%AA%E0%A6%A6%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8)" title="ঘাত (পদার্থবিজ্ঞান) - bengalí" lang="bn" hreflang="bn" data-title="ঘাত (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="bengalí" 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/Impuls_(fizika)" title="Impuls (fizika) - bosnià" lang="bs" hreflang="bs" data-title="Impuls (fizika)" data-language-autonym="Bosanski" data-language-local-name="bosnià" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Impuls_s%C3%ADly" title="Impuls síly - txec" lang="cs" hreflang="cs" data-title="Impuls síly" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%8F%CE%B8%CE%B7%CF%83%CE%B7" title="Ώθηση - grec" lang="el" hreflang="el" data-title="Ώθηση" data-language-autonym="Ελληνικά" data-language-local-name="grec" 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/Impulse_(physics)" title="Impulse (physics) - anglès" lang="en" hreflang="en" data-title="Impulse (physics)" data-language-autonym="English" data-language-local-name="anglès" 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/Impulso_(fiziko)" title="Impulso (fiziko) - esperanto" lang="eo" hreflang="eo" data-title="Impulso (fiziko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Impulso" title="Impulso - espanyol" lang="es" hreflang="es" data-title="Impulso" data-language-autonym="Español" data-language-local-name="espanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Bulkada_(fisika)" title="Bulkada (fisika) - basc" lang="eu" hreflang="eu" data-title="Bulkada (fisika)" data-language-autonym="Euskara" data-language-local-name="basc" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8%D9%87_(%D9%81%DB%8C%D8%B2%DB%8C%DA%A9)" title="ضربه (فیزیک) - persa" lang="fa" hreflang="fa" data-title="ضربه (فیزیک)" data-language-autonym="فارسی" data-language-local-name="persa" 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/Impulssi" title="Impulssi - finès" lang="fi" hreflang="fi" data-title="Impulssi" data-language-autonym="Suomi" data-language-local-name="finès" 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/Percussion_(physique)" title="Percussion (physique) - francès" lang="fr" hreflang="fr" data-title="Percussion (physique)" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Impulso_(magnitude_f%C3%ADsica)" title="Impulso (magnitude física) - gallec" lang="gl" hreflang="gl" data-title="Impulso (magnitude física)" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%AA%D7%A7%D7%A3" title="מתקף - hebreu" lang="he" hreflang="he" data-title="מתקף" data-language-autonym="עברית" data-language-local-name="hebreu" 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%86%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="आवेग (भौतिकी) - hindi" lang="hi" hreflang="hi" data-title="आवेग (भौतिकी)" data-language-autonym="हिन्दी" data-language-local-name="hindi" 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/Impuls_sile" title="Impuls sile - croat" lang="hr" hreflang="hr" data-title="Impuls sile" data-language-autonym="Hrvatski" data-language-local-name="croat" 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/Enpilsyon" title="Enpilsyon - crioll d’Haití" lang="ht" hreflang="ht" data-title="Enpilsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="crioll d’Haití" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%88%D6%82%D5%AA%D5%AB_%D5%AB%D5%B4%D5%BA%D5%B8%D6%82%D5%AC%D5%BD" title="Ուժի իմպուլս - armeni" lang="hy" hreflang="hy" data-title="Ուժի իմպուլս" data-language-autonym="Հայերեն" data-language-local-name="armeni" 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/Impuls" title="Impuls - indonesi" lang="id" hreflang="id" data-title="Impuls" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Impulso_(fisica)" title="Impulso (fisica) - italià" lang="it" hreflang="it" data-title="Impulso (fisica)" data-language-autonym="Italiano" data-language-local-name="italià" 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/%E5%8A%9B%E7%A9%8D" title="力積 - japonès" lang="ja" hreflang="ja" data-title="力積" data-language-autonym="日本語" data-language-local-name="japonès" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D2%AF%D1%88_%D1%81%D0%B5%D1%80%D0%BF%D1%96%D0%BD%D1%96" title="Күш серпіні - kazakh" lang="kk" hreflang="kk" data-title="Күш серпіні" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%B6%A9%EA%B2%A9%EB%9F%89" title="충격량 - coreà" lang="ko" hreflang="ko" data-title="충격량" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Tehm_(fiz%C3%AEk)" title="Tehm (fizîk) - kurd" lang="ku" hreflang="ku" data-title="Tehm (fizîk)" data-language-autonym="Kurdî" data-language-local-name="kurd" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/J%C4%97gos_impulsas" title="Jėgos impulsas - lituà" lang="lt" hreflang="lt" data-title="Jėgos impulsas" data-language-autonym="Lietuvių" data-language-local-name="lituà" 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/Sp%C4%93ka_impulss" title="Spēka impulss - letó" lang="lv" hreflang="lv" data-title="Spēka impulss" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B4%B5%E0%B5%87%E0%B4%97%E0%B4%82" title="ആവേഗം - malaiàlam" lang="ml" hreflang="ml" data-title="ആവേഗം" data-language-autonym="മലയാളം" data-language-local-name="malaiàlam" 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%98%D0%BC%D0%BF%D1%83%D0%BB%D1%8C%D1%81" title="Импульс - mongol" lang="mn" hreflang="mn" data-title="Импульс" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Impuls_(fizik)" title="Impuls (fizik) - malai" lang="ms" hreflang="ms" data-title="Impuls (fizik)" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde) - neerlandès" lang="nl" hreflang="nl" data-title="Stoot (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="neerlandès" 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/Impuls_i_fysikk" title="Impuls i fysikk - noruec nynorsk" lang="nn" hreflang="nn" data-title="Impuls i fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kraftimpuls" title="Kraftimpuls - noruec bokmål" lang="nb" hreflang="nb" data-title="Kraftimpuls" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Romi%27a(fiiziksii)" title="Romi'a(fiiziksii) - oromo" lang="om" hreflang="om" data-title="Romi'a(fiiziksii)" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pop%C4%99d_(fizyka)" title="Popęd (fizyka) - polonès" lang="pl" hreflang="pl" data-title="Popęd (fizyka)" data-language-autonym="Polski" data-language-local-name="polonès" 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/Ampulsion" title="Ampulsion - piemontès" lang="pms" hreflang="pms" data-title="Ampulsion" data-language-autonym="Piemontèis" data-language-local-name="piemontès" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Impulso" title="Impulso - portuguès" lang="pt" hreflang="pt" data-title="Impulso" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</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_%D1%81%D0%B8%D0%BB%D1%8B" title="Импульс силы - rus" lang="ru" hreflang="ru" data-title="Импульс силы" data-language-autonym="Русский" data-language-local-name="rus" 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_sile" title="Impuls sile - serbocroat" lang="sh" hreflang="sh" data-title="Impuls sile" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Impulse_(physics)" title="Impulse (physics) - Simple English" lang="en-simple" hreflang="en-simple" data-title="Impulse (physics)" 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/Impulz_sily" title="Impulz sily - eslovac" lang="sk" hreflang="sk" data-title="Impulz sily" data-language-autonym="Slovenčina" data-language-local-name="eslovac" 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/Sunek_sile" title="Sunek sile - eslovè" lang="sl" hreflang="sl" data-title="Sunek sile" data-language-autonym="Slovenščina" data-language-local-name="eslovè" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Impulsi" title="Impulsi - albanès" lang="sq" hreflang="sq" data-title="Impulsi" data-language-autonym="Shqip" data-language-local-name="albanès" 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/Impuls_sile" title="Impuls sile - serbi" lang="sr" hreflang="sr" data-title="Impuls sile" data-language-autonym="Српски / srpski" data-language-local-name="serbi" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A4%E0%AE%BE%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%81%E0%AE%A4%E0%AE%B2%E0%AF%8D_(%E0%AE%87%E0%AE%AF%E0%AE%B1%E0%AF%8D%E0%AE%AA%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D)" title="தாக்குதல் (இயற்பியல்) - tàmil" lang="ta" hreflang="ta" data-title="தாக்குதல் (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Impuls" title="Impuls - turcman" lang="tk" hreflang="tk" data-title="Impuls" data-language-autonym="Türkmençe" data-language-local-name="turcman" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C4%B0mpuls_(fizik)" title="İmpuls (fizik) - turc" lang="tr" hreflang="tr" data-title="İmpuls (fizik)" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</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_%D1%81%D0%B8%D0%BB%D0%B8" title="Імпульс сили - ucraïnès" lang="uk" hreflang="uk" data-title="Імпульс сили" data-language-autonym="Українська" data-language-local-name="ucraïnès" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Impuls_(fizika)" title="Impuls (fizika) - uzbek" lang="uz" hreflang="uz" data-title="Impuls (fizika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbek" 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/Xung_l%C6%B0%E1%BB%A3ng" title="Xung lượng - vietnamita" lang="vi" hreflang="vi" data-title="Xung lượng" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" 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%86%B2%E9%87%8F" title="冲量 - xinès wu" lang="wuu" hreflang="wuu" data-title="冲量" data-language-autonym="吴语" data-language-local-name="xinès wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%86%B2%E9%87%8F" title="冲量 - xinès" lang="zh" hreflang="zh" data-title="冲量" data-language-autonym="中文" data-language-local-name="xinès" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%A1%9D%E9%87%8F" title="衝量 - cantonès" lang="yue" hreflang="yue" data-title="衝量" data-language-autonym="粵語" data-language-local-name="cantonès" 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/Q837940#sitelinks-wikipedia" title="Modifica enllaços interlingües" class="wbc-editpage">Modifica els enllaços</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="Espais de noms"> 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href="/w/index.php?title=Especial:Llibre&bookcmd=book_creator&referer=Impuls+%28f%C3%ADsica%29"><span>Crea un llibre</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Impuls_%28f%C3%ADsica%29&action=show-download-screen"><span>Baixa com a PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&printable=yes" title="Versió per a impressió d'aquesta pàgina [p]" accesskey="p"><span>Versió per a impressora</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"> En altres projectes </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:Impulse" hreflang="en"><span>Commons</span></a></li><li id="t-wikibase" 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data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Aparença</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">amaga</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">De la Viquipèdia, l'enciclopèdia lliure</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="ca" dir="ltr"><table class="infobox" style="font-size:90%;width:25em"><caption style="font-weight:bold;background-color: #b0d1ad"><span style="float:left;"><span typeof="mw:File"><a href="/wiki/Fitxer:Noun_project_1842.svg" class="mw-file-description" title="Infotaula de magnitud física"><img alt="Infotaula de magnitud física" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/25px-Noun_project_1842.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/38px-Noun_project_1842.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/50px-Noun_project_1842.svg.png 2x" data-file-width="100" data-file-height="100" /></a></span></span>Impuls</caption><tbody><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Símbol</th><td class="infobox-data"><i>I</i>, <i>J</i></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Unitats</th><td class="infobox-data"><a href="/wiki/Newton_(unitat)" title="Newton (unitat)">N</a> · <a href="/wiki/Segon" title="Segon">s</a> o <a href="/wiki/Kilogram" class="mw-redirect" title="Kilogram">kg</a> · <a href="/wiki/Metre_per_segon" title="Metre per segon">m/s</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Fórmula</th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">I</mi> </mrow> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a270953dc374563cfcb71a1bd877ec84bb8e4c60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:13.339ex; height:6.509ex;" alt="{\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t}"></span> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q837940?uselang=ca#P2534" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr></tbody></table> <table class="vertical-navbox nowraplinks" style="float:right;clear:right;width:22.0em;margin:0 0 1.0em 1.0em;color:#202122;background-color:#f8f9fa;border:1px solid #a2a9b1;padding:0.2em;border-spacing:0.4em 0;text-align:center;line-height:1.4em;font-size:88%;width:220px"><tbody><tr><th style="padding:0.2em 0.4em 0.2em;font-size:145%;line-height:1.2em"><a href="/wiki/Mec%C3%A0nica_cl%C3%A0ssica" title="Mecànica clàssica">Mecànica clàssica</a></th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/w/index.php?title=Hist%C3%B2ria_de_la_mec%C3%A0nica_cl%C3%A0ssica&action=edit&redlink=1" class="new" title="Història de la mecànica clàssica (encara no existeix)">Història</a><br /><a href="/wiki/Cronologia_de_la_mec%C3%A0nica_cl%C3%A0ssica" title="Cronologia de la mecànica clàssica">Cronologia</a></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;text-align:left">Branques</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/Est%C3%A0tica" title="Estàtica">Estàtica</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Din%C3%A0mica" title="Dinàmica">Dinàmica</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Cinem%C3%A0tica" title="Cinemàtica">Cinemàtica</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Mec%C3%A0nica_aplicada" title="Mecànica aplicada">Mecànica aplicada</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Mec%C3%A0nica_celeste" title="Mecànica celeste">Mecànica celeste</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Mec%C3%A0nica_dels_medis_continus" title="Mecànica dels medis continus">Mecànica dels medis continus</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Mec%C3%A0nica_estad%C3%ADstica" title="Mecànica estadística">Mecànica estadística</a></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;text-align:left">Formulacions</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><div style="text-align:left;"> <ul><li><a href="/wiki/Lleis_de_Newton" title="Lleis de Newton">Mecànica newtoniana</a></li> <li><a href="/wiki/Mec%C3%A0nica_anal%C3%ADtica" title="Mecànica analítica">Mecànica analítica</a>: <ul><li><a href="/wiki/Formulaci%C3%B3_lagrangiana" title="Formulació lagrangiana">Mecànica lagrangiana</a></li> <li><a href="/wiki/Formulaci%C3%B3_hamiltoniana" title="Formulació hamiltoniana">Mecànica hamiltoniana</a></li></ul></li></ul></div></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;text-align:left">Conceptes fonamentals</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/Espai" title="Espai">Espai</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Temps" title="Temps">Temps</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Velocitat" title="Velocitat">Velocitat</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Celeritat" title="Celeritat">Celeritat</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Massa" title="Massa">Massa</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Acceleraci%C3%B3" title="Acceleració">Acceleració</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Gravetat" title="Gravetat">Gravetat</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/For%C3%A7a" title="Força">Força</a><span style="font-weight:bold;"> ·</span> <a class="mw-selflink selflink">Impuls</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Parell_de_forces" title="Parell de forces">Parell</a> / <a href="/wiki/Moment" title="Moment">Moment</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Quantitat_de_moviment" title="Quantitat de moviment">Quantitat de moviment</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moment_angular" title="Moment angular">Moment angular</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/In%C3%A8rcia" title="Inèrcia">Inèrcia</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moment_d%27in%C3%A8rcia" title="Moment d'inèrcia">Moment d'inèrcia</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Sistema_de_refer%C3%A8ncia" title="Sistema de referència">Sistema de referència</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Energia" title="Energia">Energia</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Energia_cin%C3%A8tica" title="Energia cinètica">Energia cinètica</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Energia_potencial" title="Energia potencial">Energia potencial</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Treball_mec%C3%A0nic" class="mw-redirect" title="Treball mecànic">Treball mecànic</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Treball_virtual" title="Treball virtual">Treball virtual</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Principi_de_d%27Alembert" title="Principi de d'Alembert">Principi de d'Alembert</a></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;text-align:left">Temes principals</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/S%C3%B2lid_r%C3%ADgid" title="Sòlid rígid">Sòlid rígid</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Din%C3%A0mica_del_s%C3%B2lid_r%C3%ADgid" title="Dinàmica del sòlid rígid">Dinàmica del sòlid rígid</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Equacions_d%27Euler" class="mw-redirect" title="Equacions d'Euler">Equacions d'Euler</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moviment_(f%C3%ADsica)" class="mw-redirect" title="Moviment (física)">Moviment</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Lleis_de_Newton" title="Lleis de Newton">Lleis de Newton</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Llei_de_la_gravitaci%C3%B3_universal" title="Llei de la gravitació universal">Llei de la gravitació universal</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Equacions_del_moviment" class="mw-redirect" title="Equacions del moviment">Equacions del moviment</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Sistema_de_refer%C3%A8ncia_inercial" title="Sistema de referència inercial">Sistema de referència inercial</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Sistema_de_refer%C3%A8ncia_no_inercial" title="Sistema de referència no inercial">Sistema de referència no inercial</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Sistema_de_refer%C3%A8ncia_amb_rotaci%C3%B3" class="mw-redirect" title="Sistema de referència amb rotació">Sistema de referència amb rotació</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/For%C3%A7a_fict%C3%ADcia" class="mw-redirect" title="Força fictícia">Força fictícia</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moviment_rectilini" title="Moviment rectilini">Moviment rectilini</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Despla%C3%A7ament_(cinem%C3%A0tica)" title="Desplaçament (cinemàtica)">Desplaçament</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Velocitat_relativa" title="Velocitat relativa">Velocitat relativa</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Fricci%C3%B3" title="Fricció">Fricció</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moviment_harm%C3%B2nic_simple" title="Moviment harmònic simple">Moviment harmònic simple</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Oscil%C2%B7lador_harm%C3%B2nic" title="Oscil·lador harmònic">Oscil·lador harmònic</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Vibraci%C3%B3" title="Vibració">Vibració</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Esmorte%C3%AFment" title="Esmorteïment">Esmorteïment</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moviment_de_rotaci%C3%B3" class="mw-redirect" title="Moviment de rotació">Moviment de rotació</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Moviment_circular" title="Moviment circular">Moviment circular</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/For%C3%A7a_centr%C3%ADpeta" title="Força centrípeta">Força centrípeta</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/For%C3%A7a_centr%C3%ADfuga" title="Força centrífuga">Força centrífuga</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Efecte_de_Coriolis" title="Efecte de Coriolis">Efecte de Coriolis</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/P%C3%A8ndol_(matem%C3%A0tiques)" title="Pèndol (matemàtiques)">Pèndol</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Acceleraci%C3%B3_angular" title="Acceleració angular">Acceleració angular</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Velocitat_angular" title="Velocitat angular">Velocitat angular</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Freq%C3%BC%C3%A8ncia_angular" class="mw-redirect" title="Freqüència angular">Freqüència angular</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Despla%C3%A7ament_angular" title="Desplaçament angular">Desplaçament angular</a></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;text-align:left">Científics</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo Galilei</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Jeremiah_Horrocks" title="Jeremiah Horrocks">Jeremiah Horrocks</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Jean_le_Rond_d%27Alembert" title="Jean le Rond d'Alembert">Jean le Rond d'Alembert</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Alexis_Clairaut" class="mw-redirect" title="Alexis Clairaut">Alexis Clairaut</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Joseph_Louis_Lagrange" title="Joseph Louis Lagrange">Joseph Louis Lagrange</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Pierre-Simon_Laplace" title="Pierre-Simon Laplace">Pierre-Simon Laplace</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/William_Rowan_Hamilton" title="William Rowan Hamilton">William Rowan Hamilton</a><span style="font-weight:bold;"> ·</span> <a href="/wiki/Sim%C3%A9on-Denis_Poisson" class="mw-redirect" title="Siméon-Denis Poisson">Siméon-Denis Poisson</a></div></div></td> </tr><tr><td style="text-align:right;font-size:115%;padding-top: 0.6em;"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><span typeof="mw:File"><a href="/wiki/Plantilla:Mec%C3%A0nica_cl%C3%A0ssica" title="Plantilla:Mecànica clàssica"><img alt="Vegeu aquesta plantilla" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/18px-Commons-emblem-notice.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/27px-Commons-emblem-notice.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/36px-Commons-emblem-notice.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></li></ul></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:Elastischer_sto%C3%9F_2D.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Elastischer_sto%C3%9F_2D.gif/220px-Elastischer_sto%C3%9F_2D.gif" decoding="async" width="220" height="126" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Elastischer_sto%C3%9F_2D.gif/330px-Elastischer_sto%C3%9F_2D.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/2/2c/Elastischer_sto%C3%9F_2D.gif 2x" data-file-width="350" data-file-height="200" /></a><figcaption>Animació que il·lustra un xoc elàstic</figcaption></figure> <p>En <a href="/wiki/Mec%C3%A0nica_cl%C3%A0ssica" title="Mecànica clàssica">mecànica clàssica</a>, s'anomena <b>impuls</b> (abreviat <b>I</b>) a la <a href="/wiki/Magnitud_f%C3%ADsica" title="Magnitud física">magnitud física</a> definida com a la variació de <a href="/wiki/Quantitat_de_moviment" title="Quantitat de moviment">quantitat de moviment</a> que experimenta un objecte en un sistema tancat. L'impuls és, per definició, la <a href="/wiki/Integral" class="mw-redirect" title="Integral">integral</a> d'una <a href="/wiki/For%C3%A7a_(f%C3%ADsica)" class="mw-redirect" title="Força (física)">força</a> respecte al temps. </p><p>Un impuls canvia el moment lineal d'un objecte i té les mateixes unitats i dimensions que el moment lineal: Kg·m·s<sup>-1</sup>. Aquest tipus d'accions ja va ser acotat per <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a> en la seva <a href="/wiki/Lleis_de_Newton" title="Lleis de Newton">segona llei</a>: Newton l'anomenà <i>vis motrix</i>, referint-se a una espècie de força del moviment. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Impuls_en_un_objecte_de_massa_constant">Impuls en un objecte de massa constant</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=1" title="Modifica la secció: Impuls en un objecte de massa constant"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En el cas d'un impuls sobre un objecte amb massa constant, la magnitud d'impuls es defineix: </p><p>Impuls <b>I</b> produït del temps <i>t</i><sub>1</sub> a <i>t</i>₂ :<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <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 \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">I</mi> </mrow> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de1dbde38ee5fcc9585de5853a6893a117088785" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:12.746ex; height:6.509ex;" alt="{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,dt}"></span></dd></dl> <p>on <b>F</b> és la força aplicada de <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_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cb0768c0bd659f2f84fb5ef9f4b74f336123d915" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.894ex; height:2.343ex;" alt="{\displaystyle t_{1}}"></span> a <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/749fee708b41e7079eabd50d61c8bf3e965db16f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.894ex; height:2.343ex;" alt="{\displaystyle t_{2}}"></span>. </p><p>Es pot substituir: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F={\frac {dp}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>p</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F={\frac {dp}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/854492559000ecb866fb39f6d7db233703c10eb5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.061ex; height:5.509ex;" alt="{\displaystyle F={\frac {dp}{dt}}}"></span></dd></dl> <p>De manera que s'obté: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>p</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56f5e2f61886c11637021b49d4425ebc8d1ed4db" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:14.443ex; height:6.509ex;" alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}"></span></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 I=\int _{t_{1}}^{t_{2}}dp}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mi>d</mi> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=\int _{t_{1}}^{t_{2}}dp}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b474977280baf461cd37ff713b33e0385db6055" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:11.164ex; height:6.509ex;" alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}dp}"></span></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 I=\Delta \ p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mtext> </mtext> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=\Delta \ p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc5813c92286d536cd494a5f681351b9e106e6bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.956ex; height:2.509ex;" alt="{\displaystyle I=\Delta \ p}"></span></dd></dl> <p>Que dona com a resultat la variació de quantitat de moviment: <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 \ p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mtext> </mtext> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta \ p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/679b02bba58e1fdbdd48a425f9bb9a03c541c9a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.686ex; height:2.509ex;" alt="{\displaystyle \Delta \ p}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Col·lisió"><span id="Col.C2.B7lisi.C3.B3"></span>Col·lisió</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=2" title="Modifica la secció: Col·lisió"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Les col·lisions són interaccions de dos o més cossos en què hi ha contacte entre ells durant un temps. Hi ha diferents tipus de col·lisions, les col·lisions elàstiques, inelàstiques i totalment inelàstiques. Tots aquests xocs tenen la característica de conservar el seu <i>momentum</i> o quantitat de moviment, però no la seva energia mecànica, que en la majoria dels casos només es considera l'energia cinètica. Els xocs que són elàstics mantenen el momentum inicial del sistema igual al final de la mateixa manera que l'energia cinètica total del sistema. Dins d'aquest tipus de xoc és important mencionar un cas importants que és el xoc de dos cossos d'igual massa i un d'ells inicialment en repòs. En el cas que els dos cossos tinguin la mateixa massa i un d'ells es troba en repòs, en impactar es transferirà l'energia des del cos en moviment cap al que no s'està movent, i el cos que es trobava inicialment en moviment romandrà en repòs, mentre que l'altre seguirà en moviment, el mateix que seguia el primer cos, un exemple d'aquest és el joc és el billar. Mentre dura el xoc cal assenyalar que en el contacte dels dos cossos l'energia s'emmagatzema en una deformació mínima i no permanent. </p> <div class="mw-heading mw-heading3"><h3 id="Col·lisió_elàstica"><span id="Col.C2.B7lisi.C3.B3_el.C3.A0stica"></span>Col·lisió elàstica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=3" title="Modifica la secció: Col·lisió elàstica"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r30997230">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style><div role="note" class="hatnote navigation-not-searchable">Article principal: <a href="/wiki/Xoc_el%C3%A0stic" title="Xoc elàstic">Xoc elàstic</a></div> <p>En física, en el cas ideal, una col·lisió perfectament elàstica és un xoc entre dos o més cossos que no pateixen deformacions permanents degut l'impacte. En una col·lisió perfectament elàstica es conserven tant el moment lineal com l'energia cinètica del sistema. durant una col·lisió, encara que siguin dos sòlids, no es poden considerar perfectament elàstics, ja que sempre hi ha una deformació. </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:Elastischer_sto%C3%9F.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/220px-Elastischer_sto%C3%9F.gif" decoding="async" width="220" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/330px-Elastischer_sto%C3%9F.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/440px-Elastischer_sto%C3%9F.gif 2x" data-file-width="500" data-file-height="60" /></a><figcaption>Col·lisió elàstica</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Col·lisió_inelàstica"><span id="Col.C2.B7lisi.C3.B3_inel.C3.A0stica"></span>Col·lisió inelàstica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=4" title="Modifica la secció: Col·lisió inelàstica"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r30997230"><div role="note" class="hatnote navigation-not-searchable">Article principal: <a href="/wiki/Xoc_inel%C3%A0stic" title="Xoc inelàstic">Xoc inelàstic</a></div> <p>Les col·lisions en què l'energia no es conserva produeixen deformacions permanents dels cossos i es denominen col·lisions inelàstiques. </p> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=5" title="Modifica la secció: Referències"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist {{#if: | references-column-count references-column-count-{{{col}}}" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFHibbeler2010"><span style="font-variant: small-caps;">Hibbeler</span>, Russell C. <i>Engineering Mechanics, 12th edition</i>.  Pearson Prentice Hall, 2010, p. 222. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/0-13-607791-9" title="Especial:Fonts bibliogràfiques/0-13-607791-9">ISBN 0-13-607791-9</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Engineering+Mechanics%2C+12th+edition&rft.aulast=Hibbeler&rft.aufirst=Russell+C.&rft.date=2010&rft.pub=Pearson+Prentice+Hall&rft.pages=p.%26nbsp%3B222&rft.isbn=0-13-607791-9"><span style="display: none;"> </span></span></span> </li> </ol></div></div> <div role="navigation" class="navbox" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Bases d'informació</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/GEC" class="mw-redirect" title="GEC">GEC</a> <span class="uid"> (<a rel="nofollow" class="external text" href="https://www.enciclopedia.cat/gran-enciclopedia-catalana/impuls-1">1</a>)</span></li></ul> </div></td></tr></tbody></table></div> <p><span style="display: none;" class="interProject"><a href="https://ca.wiktionary.org/wiki/impuls" class="extiw" title="wikt:impuls">Viccionari</a></span> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtingut de «<a dir="ltr" href="https://ca.wikipedia.org/w/index.php?title=Impuls_(física)&oldid=31972301">https://ca.wikipedia.org/w/index.php?title=Impuls_(física)&oldid=31972301</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categorias" title="Especial:Categorias">Categoria</a>: <ul><li><a href="/wiki/Categoria:F%C3%ADsica_cl%C3%A0ssica" title="Categoria:Física clàssica">Física clàssica</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Categoria oculta: <ul><li><a href="/wiki/Categoria:Control_d%27autoritats" title="Categoria:Control d'autoritats">Control d'autoritats</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> La pàgina va ser modificada per darrera vegada el 22 juny 2023 a les 11:42.</li> <li id="footer-info-copyright">El text està disponible sota la <a href="/wiki/Viquip%C3%A8dia:Text_de_la_llic%C3%A8ncia_de_Creative_Commons_Reconeixement-Compartir_Igual_4.0_No_adaptada" title="Viquipèdia:Text de la llicència de Creative Commons Reconeixement-Compartir Igual 4.0 No adaptada"> Llicència de Creative Commons Reconeixement i Compartir-Igual</a>; es poden aplicar termes addicionals. 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