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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">Početak</div> </a> </li> <li id="toc-Matematički_izvod" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Matematički_izvod"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Matematički izvod</span> </div> </a> <ul id="toc-Matematički_izvod-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Također_pogledajte" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Također_pogledajte"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Također pogledajte</span> </div> </a> <ul id="toc-Također_pogledajte-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bibliografija" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bibliografija"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Bibliografija</span> </div> </a> <ul id="toc-Bibliografija-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vanjski_linkovi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vanjski_linkovi"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Vanjski linkovi</span> </div> </a> <ul id="toc-Vanjski_linkovi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reference" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Reference"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Reference</span> </div> </a> <ul id="toc-Reference-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="Sadržaj" 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="Uključi/isključi sadržaj" > <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">Uključi/isključi sadržaj</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 (fizika)</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="Idi na članak na drugom jeziku. Dostupno na 59 jezika" > <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-59" 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">59 jezika</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 – arapski" lang="ar" hreflang="ar" data-title="اندفاع" data-language-autonym="العربية" data-language-local-name="arapski" 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 – asamski" lang="as" hreflang="as" data-title="ঘাতবল" data-language-autonym="অসমীয়া" data-language-local-name="asamski" 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 – asturijski" lang="ast" hreflang="ast" data-title="Impulsu" data-language-autonym="Asturianu" data-language-local-name="asturijski" 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 – bjeloruski" lang="be" hreflang="be" data-title="Імпульс сілы" data-language-autonym="Беларуская" data-language-local-name="bjeloruski" 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 – bugarski" lang="bg" hreflang="bg" data-title="Импулс на сила" data-language-autonym="Български" data-language-local-name="bugarski" 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) – bengalski" lang="bn" hreflang="bn" data-title="ঘাত (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="bengalski" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Impuls_(f%C3%ADsica)" title="Impuls (física) – katalonski" lang="ca" hreflang="ca" data-title="Impuls (física)" data-language-autonym="Català" data-language-local-name="katalonski" class="interlanguage-link-target"><span>Català</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 – češki" lang="cs" hreflang="cs" data-title="Impuls síly" data-language-autonym="Čeština" data-language-local-name="češki" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Impuls#Kraftstoß" title="Impuls – njemački" lang="de" hreflang="de" data-title="Impuls" data-language-autonym="Deutsch" data-language-local-name="njemački" 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%8F%CE%B8%CE%B7%CF%83%CE%B7" title="Ώθηση – grčki" lang="el" hreflang="el" data-title="Ώθηση" data-language-autonym="Ελληνικά" data-language-local-name="grčki" 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) – engleski" lang="en" hreflang="en" data-title="Impulse (physics)" data-language-autonym="English" data-language-local-name="engleski" 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 – španski" lang="es" hreflang="es" data-title="Impulso" data-language-autonym="Español" data-language-local-name="španski" 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) – baskijski" lang="eu" hreflang="eu" data-title="Bulkada (fisika)" data-language-autonym="Euskara" data-language-local-name="baskijski" 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) – perzijski" lang="fa" hreflang="fa" data-title="ضربه (فیزیک)" data-language-autonym="فارسی" data-language-local-name="perzijski" 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 – finski" lang="fi" hreflang="fi" data-title="Impulssi" data-language-autonym="Suomi" data-language-local-name="finski" 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) – francuski" lang="fr" hreflang="fr" data-title="Percussion (physique)" data-language-autonym="Français" data-language-local-name="francuski" 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) – galicijski" lang="gl" hreflang="gl" data-title="Impulso (magnitude física)" data-language-autonym="Galego" data-language-local-name="galicijski" 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 – hebrejski" lang="he" hreflang="he" data-title="מתקף" data-language-autonym="עברית" data-language-local-name="hebrejski" 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 – hrvatski" lang="hr" hreflang="hr" data-title="Impuls sile" data-language-autonym="Hrvatski" data-language-local-name="hrvatski" 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 – haićanski kreolski" lang="ht" hreflang="ht" data-title="Enpilsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haićanski kreolski" 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 – armenski" lang="hy" hreflang="hy" data-title="Ուժի իմպուլս" data-language-autonym="Հայերեն" data-language-local-name="armenski" 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 – indonezijski" lang="id" hreflang="id" data-title="Impuls" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijski" 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) – italijanski" lang="it" hreflang="it" data-title="Impulso (fisica)" data-language-autonym="Italiano" data-language-local-name="italijanski" 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 – japanski" lang="ja" hreflang="ja" data-title="力積" data-language-autonym="日本語" data-language-local-name="japanski" 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 – kazaški" lang="kk" hreflang="kk" data-title="Күш серпіні" data-language-autonym="Қазақша" data-language-local-name="kazaški" 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 – korejski" lang="ko" hreflang="ko" data-title="충격량" data-language-autonym="한국어" data-language-local-name="korejski" 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) – kurdski" lang="ku" hreflang="ku" data-title="Tehm (fizîk)" data-language-autonym="Kurdî" data-language-local-name="kurdski" 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 – litvanski" lang="lt" hreflang="lt" data-title="Jėgos impulsas" data-language-autonym="Lietuvių" data-language-local-name="litvanski" 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 – latvijski" lang="lv" hreflang="lv" data-title="Spēka impulss" data-language-autonym="Latviešu" data-language-local-name="latvijski" 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 – malajalam" lang="ml" hreflang="ml" data-title="ആവേഗം" data-language-autonym="മലയാളം" data-language-local-name="malajalam" 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 – mongolski" lang="mn" hreflang="mn" data-title="Импульс" data-language-autonym="Монгол" data-language-local-name="mongolski" 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) – malajski" lang="ms" hreflang="ms" data-title="Impuls (fizik)" data-language-autonym="Bahasa Melayu" data-language-local-name="malajski" 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) – nizozemski" lang="nl" hreflang="nl" data-title="Stoot (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="nizozemski" 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 – norveški (Nynorsk)" lang="nn" hreflang="nn" data-title="Impuls i fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="norveški (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 – norveški (Bokmal)" lang="nb" hreflang="nb" data-title="Kraftimpuls" data-language-autonym="Norsk bokmål" data-language-local-name="norveški (Bokmal)" 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) – poljski" lang="pl" hreflang="pl" data-title="Popęd (fizyka)" data-language-autonym="Polski" data-language-local-name="poljski" 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 – Piedmontese" lang="pms" hreflang="pms" data-title="Ampulsion" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" 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 – portugalski" lang="pt" hreflang="pt" data-title="Impulso" data-language-autonym="Português" data-language-local-name="portugalski" 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 – ruski" lang="ru" hreflang="ru" data-title="Импульс силы" data-language-autonym="Русский" data-language-local-name="ruski" 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 – srpskohrvatski" lang="sh" hreflang="sh" data-title="Impuls sile" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpskohrvatski" 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 – slovački" lang="sk" hreflang="sk" data-title="Impulz sily" data-language-autonym="Slovenčina" data-language-local-name="slovački" 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 – slovenski" lang="sl" hreflang="sl" data-title="Sunek sile" data-language-autonym="Slovenščina" data-language-local-name="slovenski" 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 – albanski" lang="sq" hreflang="sq" data-title="Impulsi" data-language-autonym="Shqip" data-language-local-name="albanski" 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 – srpski" lang="sr" hreflang="sr" data-title="Impuls sile" data-language-autonym="Српски / srpski" data-language-local-name="srpski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/R%C3%B6relsem%C3%A4ngd#Impuls" title="Rörelsemängd – švedski" lang="sv" hreflang="sv" data-title="Rörelsemängd" data-language-autonym="Svenska" data-language-local-name="švedski" 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%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) – tamilski" lang="ta" hreflang="ta" data-title="தாக்குதல் (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="tamilski" 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 – turkmenski" lang="tk" hreflang="tk" data-title="Impuls" data-language-autonym="Türkmençe" data-language-local-name="turkmenski" 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) – turski" lang="tr" hreflang="tr" data-title="İmpuls (fizik)" data-language-autonym="Türkçe" data-language-local-name="turski" 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 – ukrajinski" lang="uk" hreflang="uk" data-title="Імпульс сили" data-language-autonym="Українська" data-language-local-name="ukrajinski" 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) – uzbečki" lang="uz" hreflang="uz" data-title="Impuls (fizika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečki" 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 – vijetnamski" lang="vi" hreflang="vi" data-title="Xung lượng" data-language-autonym="Tiếng Việt" data-language-local-name="vijetnamski" 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 – Wu kineski" lang="wuu" hreflang="wuu" data-title="冲量" data-language-autonym="吴语" data-language-local-name="Wu kineski" 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 – kineski" lang="zh" hreflang="zh" data-title="冲量" data-language-autonym="中文" data-language-local-name="kineski" 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 – kantonski" lang="yue" hreflang="yue" data-title="衝量" data-language-autonym="粵語" data-language-local-name="kantonski" 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="Uredi međujezičke linkove" class="wbc-editpage">Uredi veze</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="Imenski prostori"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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</div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Općenito </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Posebno:%C5%A0ta_vodi_ovamo/Impuls_(fizika)" title="Spisak svih članaka koji su povezani s ovim [j]" accesskey="j"><span>Šta vodi ovamo</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:Srodne_izmjene/Impuls_(fizika)" rel="nofollow" title="Nedavne izmjene na stranicama koje su povezane sa ovom [k]" accesskey="k"><span>Srodne izmjene</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:Upload" title="Postavi slike i druge medije [u]" accesskey="u"><span>Postavi datoteku</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Posebno:Posebne_stranice" title="Spisak svih posebnih stranica [q]" accesskey="q"><span>Posebne stranice</span></a></li><li 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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>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/Q837940" title="Link na povezane podatke spremišnih stavki [g]" accesskey="g"><span>Stavka na Wikipodacima</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="Izgled"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div 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</div> <div id="siteSub" class="noprint">S Wikipedije, slobodne enciklopedije</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="bs" dir="ltr"><div role="note" class="hatnote navigation-not-searchable">Za druga značenja, pogledajte <a href="/w/index.php?title=Impuls_(%C4%8Dvor)&action=edit&redlink=1" class="new" title="Impuls (čvor) (stranica ne postoji)">Impuls (čvor)</a>.</div> <p>U <a href="/wiki/Klasi%C4%8Dna_mehanika" title="Klasična mehanika">klasičnoj mehanici</a>, <b>impuls</b> je definisan kao <a href="/wiki/Integral" title="Integral">integral</a> <a href="/wiki/Sila" title="Sila">sile</a> po <a href="/wiki/Vrijeme" class="mw-disambig" title="Vrijeme">vremenu</a>. Kada se <a href="/wiki/Sila" title="Sila">sila</a> primijeni na kruto tijelo, ona mijenja <a href="/wiki/Koli%C4%8Dina_kretanja" title="Količina kretanja">količinu kretanja</a> tog tijela. Mala sila koja se primjenjuje duži vremenski period može proizvesti istu količinu kretanja kao i velika sila u kratkom vremenskom periodu, prošto je <a href="/w/index.php?title=Proizvod_(matematika)&action=edit&redlink=1" class="new" title="Proizvod (matematika) (stranica ne postoji)">proizvod</a> sile i vremena za koje je ta sila primjenjena. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Matematički_izvod"><span id="Matemati.C4.8Dki_izvod"></span>Matematički izvod</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(fizika)&veaction=edit&section=1" title="Uredi odlomak "Matematički izvod"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_(fizika)&action=edit&section=1" title="Edit section's source code: Matematički izvod"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Impuls <i>I</i> proizveden od vremena <i>t</i><sub>1</sub> do <i>t</i><sub>2</sub> definisan je kao </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>gdje je <b>F</b> primjenjena sila, a <i>dt</i> označava <a href="/w/index.php?title=Infinitezimalno&action=edit&redlink=1" class="new" title="Infinitezimalno (stranica ne postoji)">infinitezimalnu</a> količinu vremena. </p><p>Iz <a href="/wiki/Newtonovi_zakoni_kretanja#Drugi_Newtonov_zakon" title="Newtonovi zakoni kretanja">drugog Newtonovog zakona</a>, sila je povezana sa količinom kretanja <b>p</b> preko </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 {F} ={\frac {d\mathbf {p} }{dt}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} ={\frac {d\mathbf {p} }{dt}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd75322098b5e62371b1472ddd5cf0ee8a6a267" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.965ex; height:5.509ex;" alt="{\displaystyle \mathbf {F} ={\frac {d\mathbf {p} }{dt}}.}"></span></dd></dl> <p>Zbog toga </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 {\begin{aligned}\mathbf {I} &=\int _{t_{1}}^{t_{2}}{\frac {d\mathbf {p} }{dt}}\,dt\ =\int _{t_{1}}^{t_{2}}d\mathbf {p} \ =\Delta \mathbf {p} ,\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">I</mi> </mrow> </mtd> <mtd> <mi></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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> <mtext> </mtext> <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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> <mtext> </mtext> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> <mo>,</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}\mathbf {I} &=\int _{t_{1}}^{t_{2}}{\frac {d\mathbf {p} }{dt}}\,dt\ =\int _{t_{1}}^{t_{2}}d\mathbf {p} \ =\Delta \mathbf {p} ,\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd57f06810e5d3376c932a6f2442f35466db2220" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:33.989ex; height:6.509ex;" alt="{\displaystyle {\begin{aligned}\mathbf {I} &=\int _{t_{1}}^{t_{2}}{\frac {d\mathbf {p} }{dt}}\,dt\ =\int _{t_{1}}^{t_{2}}d\mathbf {p} \ =\Delta \mathbf {p} ,\end{aligned}}}"></span></dd></dl> <p>gdje je Δ<b>p</b> promjena količine kretanj od vremena <i>t</i><sub>1</sub> do <i>t</i><sub>2</sub>. Ova konstatacija često se naziva teorem impuls-količina kretanja.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Kao rezultat, impuls se može smatrati kao promjena u <a href="/wiki/Koli%C4%8Dina_kretanja" title="Količina kretanja">količini kretanja</a> predmeta na kojeg je primjenjena sila. Impuls se može izraziti u jednostavnijem obliku kada su i sila i masa konstantne: </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} =\mathbf {F} \Delta t=m\Delta \mathbf {v} =\Delta \mathbf {p} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">I</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> <mo>=</mo> <mi>m</mi> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {I} =\mathbf {F} \Delta t=m\Delta \mathbf {v} =\Delta \mathbf {p} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2d0d970cff2a9b5e9dd6f355ff1cb7fa9b15add" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:23.576ex; height:2.509ex;" alt="{\displaystyle \mathbf {I} =\mathbf {F} \Delta t=m\Delta \mathbf {v} =\Delta \mathbf {p} }"></span></dd></dl> <p>gdje je </p> <dl><dd><b>F</b> <i>konstanta</i> ukupna primjenjena sila,</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 \Delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c28867ecd34e2caed12cf38feadf6a81a7ee542" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \Delta t}"></span> vremenski interval u kojem sila djeluje,</dd> <dd><i>m</i> <i>konstantna</i> masa predmeta,</dd> <dd>Δ<b>v</b> promjena brzine koju uzrokuje sila u razmatranom vremenskom intervalu, te</dd> <dd>mΔ<b>v</b> = Δ(m<b>v</b>) promjena linearne količine kretanja.</dd></dl> <p>Često je slučaj da ne samo jedna, nego obe veličine variraju. </p><p>U tehničkom smislu, impuls je fizikalna veličina, ne događaj ili sila. Termin "impuls" se, također, koristi da se naglasi da sila djeluje brzo. Ova vrsta impulsa je često <i>idealizirana</i> tako da se promjena u količini kretanja, koju proizvodi sila, dešava bez promjene u vremenu. Ova vrsta promjene je <a href="/w/index.php?title=Skok_funkcija&action=edit&redlink=1" class="new" title="Skok funkcija (stranica ne postoji)">skokovita promjena</a>, i nije fizikalno moguća. Ovo je koristan model za određene svrhe, kao što je izračunavanje efekata idealnih sudara, posebno u igri <a href="/w/index.php?title=Fizikalni_motor&action=edit&redlink=1" class="new" title="Fizikalni motor (stranica ne postoji)">fizikalni motori</a>. </p><p>Impuls ima istu jedinicu i dimenziju kao i količina kretanja (<a href="/wiki/Kilogram" title="Kilogram">kg</a> <a href="/wiki/Metar_u_sekundi" title="Metar u sekundi">m/s</a> = <a href="/wiki/Newton_(jedinica)" class="mw-redirect" title="Newton (jedinica)">N</a>·<a href="/wiki/Sekunda" title="Sekunda">s</a>). </p><p>Impuls se može izračunati korištenjem jednačine: </p><p><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 {F} \Delta t=\Delta \ p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mtext> </mtext> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} \Delta t=\Delta \ p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92b07d60f496d6eadba974c44c02e039e47ef196" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.243ex; height:2.509ex;" alt="{\displaystyle \mathbf {F} \Delta t=\Delta \ p}"></span> </p><p><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> može se izračunati, ako su poznate početna i krajnja brzina, </p><p><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 {F} \Delta t=mv_{1}-mv_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> <mo>=</mo> <mi>m</mi> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <mi>m</mi> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} \Delta t=mv_{1}-mv_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37396640781112f78e441533b1a7b9c8fd2df352" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.842ex; height:2.509ex;" alt="{\displaystyle \mathbf {F} \Delta t=mv_{1}-mv_{0}}"></span> </p><p>gdje je </p> <dl><dd><b>F</b> <i>konstantna</i> ukupna primjenjena sila,</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 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> vremenski interval u kojem sila djeluje,</dd> <dd><i>m</i> is the <i>konstantna</i> masa predmeta,</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 v_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/98d33f5d498d528bd8c10edc8ac8c34347f32b3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.182ex; height:2.009ex;" alt="{\displaystyle v_{1}}"></span> konačna brzina predmeta na kraju vremenskog intervala, i</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 v_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/60faad24775635f4722ccc438093dbbfe05f34ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.182ex; height:2.009ex;" alt="{\displaystyle v_{0}}"></span> početna brzina predmeta na početku vremenskog intervala.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Također_pogledajte"><span id="Tako.C4.91er_pogledajte"></span>Također pogledajte</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(fizika)&veaction=edit&section=2" title="Uredi odlomak "Također pogledajte"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_(fizika)&action=edit&section=2" title="Edit section's source code: Također pogledajte"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Specifi%C4%8Dni_impuls&action=edit&redlink=1" class="new" title="Specifični impuls (stranica ne postoji)">Specifični impuls</a></li> <li><a href="/wiki/Koli%C4%8Dina_kretanja" title="Količina kretanja">Količina kretanja</a></li> <li><a href="/w/index.php?title=Talasno-%C4%8De%C5%A1ti%C4%8Dna_dualnost&action=edit&redlink=1" class="new" title="Talasno-češtična dualnost (stranica ne postoji)">Talasno-češtična dualnost</a> definiše impuls za talase. Očuvanje količine kretanja pri sudaru se nada naziva <a href="/w/index.php?title=Nelinearna_optika&action=edit&redlink=1" class="new" title="Nelinearna optika (stranica ne postoji)">podešavanje faze</a>. Primjene su: <ul><li><a href="/w/index.php?title=Comptonov_efekt&action=edit&redlink=1" class="new" title="Comptonov efekt (stranica ne postoji)">Comptonov efekt</a></li> <li><a href="/w/index.php?title=Nelinearna_optika&action=edit&redlink=1" class="new" title="Nelinearna optika (stranica ne postoji)">Nelinearna optika</a></li> <li><a href="/w/index.php?title=Acousto-opti%C4%8Dki_modulator&action=edit&redlink=1" class="new" title="Acousto-optički modulator (stranica ne postoji)">Acousto-optički modulator</a></li> <li><a href="/w/index.php?title=Umklapp_rasipanje&action=edit&redlink=1" class="new" title="Umklapp rasipanje (stranica ne postoji)">Umklapp rasipanje</a></li> <li>Elektron-<a href="/w/index.php?title=Fonon&action=edit&redlink=1" class="new" title="Fonon (stranica ne postoji)">fononsko</a> rasipanje</li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Bibliografija">Bibliografija</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(fizika)&veaction=edit&section=3" title="Uredi odlomak "Bibliografija"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_(fizika)&action=edit&section=3" title="Edit section's source code: Bibliografija"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r3303350">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFSerway,_Raymond_A.;_Jewett,_John_W.2004" class="citation book cs1">Serway, Raymond A.; Jewett, John W. (2004). <a rel="nofollow" class="external text" href="https://archive.org/details/physicssciengv2p00serw"><i>Physics for Scientists and Engineers</i></a> (6th ed. izd.). Brooks/Cole. <a href="/wiki/ISBN_(identifikator)" class="mw-redirect" title="ISBN (identifikator)">ISBN</a> <a href="/wiki/Posebno:Knji%C5%BEni_izvori/0-534-40842-7" title="Posebno:Knjižni izvori/0-534-40842-7"><bdi>0-534-40842-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Physics+for+Scientists+and+Engineers&rft.edition=6th+ed.&rft.pub=Brooks%2FCole&rft.date=2004&rft.isbn=0-534-40842-7&rft.au=Serway%2C+Raymond+A.%3B+Jewett%2C+John+W.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphysicssciengv2p00serw&rfr_id=info%3Asid%2Fbs.wikipedia.org%3AImpuls+%28fizika%29" class="Z3988"></span> <span class="cs1-visible-error error citation-comment"><span class="cs1-visible-error error citation-comment"><code class="cs1-code">|edition=</code> sadrži dodatni tekst (<a href="/w/index.php?title=Pomo%C4%87:CS1_gre%C5%A1ke&action=edit&redlink=1" class="new" title="Pomoć:CS1 greške (stranica ne postoji)">pomoć</a>)</span></span><span class="cs1-maint citation-comment">CS1 održavanje: više imena: authors list (<a href="/wiki/Kategorija:CS1_odr%C5%BEavanje:_vi%C5%A1e_imena:_authors_list" title="Kategorija:CS1 održavanje: više imena: authors list">link</a>)</span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r3303350"><cite id="CITEREFTipler,_Paul2004" class="citation book cs1">Tipler, Paul (2004). <a rel="nofollow" class="external text" href="https://archive.org/details/physicsforscient0002tipl"><i>Physics for Scientists and Engineers: Mechanics, Oscillations and Waves, Thermodynamics</i></a> (5th ed. izd.). W. H. Freeman. <a href="/wiki/ISBN_(identifikator)" class="mw-redirect" title="ISBN (identifikator)">ISBN</a> <a href="/wiki/Posebno:Knji%C5%BEni_izvori/0-7167-0809-4" title="Posebno:Knjižni izvori/0-7167-0809-4"><bdi>0-7167-0809-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Physics+for+Scientists+and+Engineers%3A+Mechanics%2C+Oscillations+and+Waves%2C+Thermodynamics&rft.edition=5th+ed.&rft.pub=W.+H.+Freeman&rft.date=2004&rft.isbn=0-7167-0809-4&rft.au=Tipler%2C+Paul&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphysicsforscient0002tipl&rfr_id=info%3Asid%2Fbs.wikipedia.org%3AImpuls+%28fizika%29" class="Z3988"></span> <span class="cs1-visible-error error citation-comment"><span class="cs1-visible-error error citation-comment"><code class="cs1-code">|edition=</code> sadrži dodatni tekst (<a href="/w/index.php?title=Pomo%C4%87:CS1_gre%C5%A1ke&action=edit&redlink=1" class="new" title="Pomoć:CS1 greške (stranica ne postoji)">pomoć</a>)</span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Vanjski_linkovi">Vanjski linkovi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(fizika)&veaction=edit&section=4" title="Uredi odlomak "Vanjski linkovi"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_(fizika)&action=edit&section=4" title="Edit section's source code: Vanjski linkovi"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.rwc.uc.edu/koehler/biophys/2c.html">Dinamika</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Reference">Reference</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_(fizika)&veaction=edit&section=5" title="Uredi odlomak "Reference"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_(fizika)&action=edit&section=5" title="Edit section's source code: Reference"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r3312388">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Pogledajte, na primjer, odjeljak 9.2, stranica 257, u Serway (2004).</span> </li> </ol></div></div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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