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Impuls sile – Wikipedija

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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">Sadržaj</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">sakrij</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">Početak</div> </a> </li> <li id="toc-Impuls_sile_i_količina_gibanja" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Impuls_sile_i_količina_gibanja"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Impuls sile i količina gibanja</span> </div> </a> <ul id="toc-Impuls_sile_i_količina_gibanja-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izvori" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izvori"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Izvori</span> </div> </a> <ul id="toc-Izvori-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="Prikaz sadržaja stranice" > <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">Prikaz sadržaja stranice</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 sile</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 druge jezične varijante članka. Dostupan je 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) – bangla" lang="bn" hreflang="bn" data-title="ঘাত (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="bangla" 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) – bosanski" lang="bs" hreflang="bs" data-title="Impuls (fizika)" data-language-autonym="Bosanski" data-language-local-name="bosanski" class="interlanguage-link-target"><span>Bosanski</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 – španjolski" lang="es" hreflang="es" data-title="Impulso" data-language-autonym="Español" data-language-local-name="španjolski" 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) – hindski" lang="hi" hreflang="hi" data-title="आवेग (भौतिकी)" data-language-autonym="हिन्दी" data-language-local-name="hindski" class="interlanguage-link-target"><span>हिन्दी</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) – talijanski" lang="it" hreflang="it" data-title="Impulso (fisica)" data-language-autonym="Italiano" data-language-local-name="talijanski" 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 – litavski" lang="lt" hreflang="lt" data-title="Jėgos impulsas" data-language-autonym="Lietuvių" data-language-local-name="litavski" 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 – malajalamski" lang="ml" hreflang="ml" data-title="ആവേഗം" data-language-autonym="മലയാളം" data-language-local-name="malajalamski" 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 bokmål" lang="nb" hreflang="nb" data-title="Kraftimpuls" data-language-autonym="Norsk bokmål" data-language-local-name="norveški 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&#039;a(fiiziksii) – oromski" lang="om" hreflang="om" data-title="Romi&#039;a(fiiziksii)" data-language-autonym="Oromoo" data-language-local-name="oromski" 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 – srpsko-hrvatski" lang="sh" hreflang="sh" data-title="Impuls sile" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpsko-hrvatski" 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="Poveznice na druge jezike" class="wbc-editpage">Uredi poveznice</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 mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Impuls_sile" title="Pogledaj sadržaj [c]" accesskey="c"><span>Stranica</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Razgovor:Impuls_sile&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Razgovorna stranica (stranica ne postoji) [t]" accesskey="t"><span>Razgovor</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Promijeni jezičnu varijantu" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button 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vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;action=edit" title="Uredite izvorni kôd ove stranice [e]" accesskey="e"><span>Uredi kôd</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;action=history" title="Ranije izmjene na ovoj stranici [h]" accesskey="h"><span>Vidi povijest</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Pomagala"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Pomagala" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Pomagala</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Pomagala</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">sakrij</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Više mogućnosti" > <div class="vector-menu-heading"> Radnje </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Impuls_sile"><span>Čitaj</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;veaction=edit" title="Uredite ovu stranicu [v]" accesskey="v"><span>Uredi</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;action=edit" title="Uredite izvorni kôd ove stranice [e]" accesskey="e"><span>Uredi kôd</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;action=history"><span>Vidi povijest</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Razno </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%A0to_vodi_ovamo/Impuls_sile" title="Popis svih stranica koje sadrže poveznice na ovu stranicu [j]" accesskey="j"><span>Što vodi ovamo</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:Povezane_promjene/Impuls_sile" rel="nofollow" title="Nedavne promjene na stranicama koje su povezane s navedenom stranicom [k]" accesskey="k"><span>Povezane promjene</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedija:Upload" title="Postavi datoteke [u]" accesskey="u"><span>Postavi datoteku</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Posebno:Posebne_stranice" title="Popis svih posebnih stranica [q]" accesskey="q"><span>Posebne stranice</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;oldid=6677376" title="Trajna poveznica na ovu verziju stranice"><span>Trajna poveznica</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;action=info" title="Više informacija o ovoj stranici"><span>Podatci o stranici</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Posebno:Citiraj&amp;page=Impuls_sile&amp;id=6677376&amp;wpFormIdentifier=titleform" title="Informacije o tome kako citirati ovu stranicu"><span>Citiraj ovu stranicu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Posebno:Skra%C4%87iva%C4%8D_adresa&amp;url=https%3A%2F%2Fhr.wikipedia.org%2Fwiki%2FImpuls_sile"><span>Skraćeni URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Posebno:QrCode&amp;url=https%3A%2F%2Fhr.wikipedia.org%2Fwiki%2FImpuls_sile"><span>Preuzmi QR kôd</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Ispis/izvoz </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Posebno:Zbirka&amp;bookcmd=book_creator&amp;referer=Impuls+sile"><span>Stvori knjigu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&amp;page=Impuls_sile&amp;action=show-download-screen"><span>Preuzmi kao PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Impuls_sile&amp;printable=yes" title="Inačica za ispis ove stranice [p]" accesskey="p"><span>Inačica za ispis</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"> Wikimedijini projekti </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>Zajednički poslužitelj</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="Poveznica na stavku na projektu Wikipodatci [g]" accesskey="g"><span>Stavka na Wikipodatcima</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="Pomagala"> <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 id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Izgled</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">sakrij</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">Izvor: Wikipedija</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="hr" dir="ltr"><table class="infobox" style="width:300px; float: right; clear: right; text-align:center; font-size:90%;"> <tbody><tr style="background:#DCF0FF"> <td><b><a href="/wiki/Klasi%C4%8Dna_mehanika" title="Klasična mehanika">Klasična mehanika</a></b> </td></tr> <tr> <td><div style="padding-top: 7px; padding-bottom: 4px;"><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 {\mathrm {d} }{\mathrm {d} t}}(m\mathbf {v} )}"> <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 class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} ={\frac {\mathrm {d} }{\mathrm {d} t}}(m\mathbf {v} )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f9db5d305b630d9a9299ad0e7557114a7e3be46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:13.01ex; height:5.509ex;" alt="{\displaystyle \mathbf {F} ={\frac {\mathrm {d} }{\mathrm {d} t}}(m\mathbf {v} )}"></span><br /><small><a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">drugi Newtonov zakon</a></small></div> </td></tr> <tr style="line-height: 150%;"> <td><a href="/wiki/Povijest_klasi%C4%8Dne_mehanike" title="Povijest klasične mehanike">povijest klasične mehanike</a><br /><a href="/wiki/Kronologija_klasi%C4%8Dne_mehanike" title="Kronologija klasične mehanike">kronologija klasične mehanike</a> <table class="collapsible collapsed" width="100%"> <tbody><tr> <th style="text-align: left; background: #DCF0FF;">Grane </th></tr> <tr style="line-height: 150%;"> <td><a href="/wiki/Statika" title="Statika">statika</a> • <a href="/wiki/Dinamika" title="Dinamika">dinamika</a>/<a href="/w/index.php?title=Kinetika&amp;action=edit&amp;redlink=1" class="new" title="Kinetika (stranica ne postoji)">kinetika</a> • <a href="/wiki/Kinematika" title="Kinematika">kinematika</a> • <a href="/w/index.php?title=Primjenjena_mehanika&amp;action=edit&amp;redlink=1" class="new" title="Primjenjena mehanika (stranica ne postoji)">primjenjena mehanika</a> • <a href="/wiki/Nebeska_mehanika" title="Nebeska mehanika">nebeska mehanika</a> • <a href="/wiki/Mehanika_kontinuuma" title="Mehanika kontinuuma">mehanika kontinuuma</a> • <a href="/wiki/Statisti%C4%8Dka_mehanika" title="Statistička mehanika">statistička mehanika</a> </td></tr></tbody></table> <table class="collapsible collapsed" width="100%"> <tbody><tr> <th style="text-align: left; background: #DCF0FF;">Formulacije </th></tr> <tr style="line-height: 150%;"> <td><div style="text-align:left;"> <ul><li><a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">Newtonova mehanika</a> (vektorska mehanika)</li> <li><a href="/wiki/Analiti%C4%8Dka_mehanika" title="Analitička mehanika">analitička mehanika</a>: <ul><li><a href="/w/index.php?title=Lagrangeova_mehanika&amp;action=edit&amp;redlink=1" class="new" title="Lagrangeova mehanika (stranica ne postoji)">Lagrangeova mehanika</a></li> <li><a href="/w/index.php?title=Hamiltonova_mehanika&amp;action=edit&amp;redlink=1" class="new" title="Hamiltonova mehanika (stranica ne postoji)">Hamiltonova mehanika</a></li></ul></li></ul></div> </td></tr></tbody></table> <table class="collapsible collapsed" width="100%"> <tbody><tr> <th style="text-align: left; background: #DCF0FF;">Osnovni koncepti </th></tr> <tr style="line-height: 150%;"> <td><a href="/wiki/Prostor" title="Prostor">prostor</a> • <a href="/wiki/Vrijeme_(fizika)" title="Vrijeme (fizika)">vrijeme</a> • <a href="/wiki/Brzina" title="Brzina">brzina</a> • <a href="/wiki/Masa" title="Masa">masa</a> • <a href="/wiki/Ubrzanje" title="Ubrzanje">ubrzanje</a> • <a href="/wiki/Gravitacija" title="Gravitacija">gravitacija</a> • <a href="/wiki/Sila" title="Sila">sila</a> • <a class="mw-selflink selflink">impuls sile</a> • <a href="/wiki/Spreg_sila" title="Spreg sila">spreg sila</a>/<a href="/wiki/Moment_sile" title="Moment sile">moment sile</a> • <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količina gibanja</a> • <a href="/wiki/Kutna_koli%C4%8Dina_gibanja" title="Kutna količina gibanja">kutna količina gibanja</a> • <a href="/wiki/Tromost" title="Tromost">tromost</a> • <a href="/wiki/Moment_tromosti" class="mw-redirect" title="Moment tromosti">moment tromosti</a> • <a href="/wiki/Referentni_okvir" class="mw-redirect" title="Referentni okvir">referentni okvir</a> • <a href="/wiki/Energija" title="Energija">energija</a> • <a href="/wiki/Kineti%C4%8Dka_energija" title="Kinetička energija">kinetička energija</a> • <a href="/wiki/Potencijalna_energija" title="Potencijalna energija">potencijalna energija</a> • <a href="/wiki/Rad_(fizika)" title="Rad (fizika)">rad</a> • <a href="/w/index.php?title=Virtualni_rad&amp;action=edit&amp;redlink=1" class="new" title="Virtualni rad (stranica ne postoji)">virtualni rad</a> • <a href="/w/index.php?title=D%27Alembertovo_na%C4%8Delo&amp;action=edit&amp;redlink=1" class="new" title="D&#39;Alembertovo načelo (stranica ne postoji)">D'Alembertovo načelo</a> • <a href="/wiki/Princip_stacionarnog_djelovanja" title="Princip stacionarnog djelovanja">princip stacionarnog djelovanja</a> </td></tr></tbody></table> <table class="collapsible collapsed" width="100%"> <tbody><tr> <th style="text-align: left; background: #DCF0FF;">Ključne teme </th></tr> <tr style="line-height: 150%;"> <td><a href="/w/index.php?title=Kruto_tijelo&amp;action=edit&amp;redlink=1" class="new" title="Kruto tijelo (stranica ne postoji)">kruto tijelo</a> • <a href="/w/index.php?title=Dinamika_krutog_tijela&amp;action=edit&amp;redlink=1" class="new" title="Dinamika krutog tijela (stranica ne postoji)">dinamika krutog tijela</a> • <a href="/w/index.php?title=Eulerove_jednad%C5%BEbe_gibanja&amp;action=edit&amp;redlink=1" class="new" title="Eulerove jednadžbe gibanja (stranica ne postoji)">Eulerove jednadžbe gibanja</a> • <a href="/wiki/Gibanje" title="Gibanje">gibanje</a> • <a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">Newtonovi zakoni gibanja</a> • <a href="/wiki/Newtonov_zakon_gravitacije" title="Newtonov zakon gravitacije">Newtonov zakon gravitacije</a> • <a href="/w/index.php?title=Jednad%C5%BEbe_gibanja&amp;action=edit&amp;redlink=1" class="new" title="Jednadžbe gibanja (stranica ne postoji)">jednadžbe gibanja</a> • <a href="/wiki/Inercijski_referentni_okvir" title="Inercijski referentni okvir">inercijski referentni okvir</a> • <a href="/w/index.php?title=Neinercijski_referentni_okvir&amp;action=edit&amp;redlink=1" class="new" title="Neinercijski referentni okvir (stranica ne postoji)">neinercijski referentni okvir</a> • <a href="/w/index.php?title=Rotiraju%C4%87i_referentni_okvir&amp;action=edit&amp;redlink=1" class="new" title="Rotirajući referentni okvir (stranica ne postoji)">rotirajući referentni okvir</a> • <a href="/w/index.php?title=Fiktivna_sila&amp;action=edit&amp;redlink=1" class="new" title="Fiktivna sila (stranica ne postoji)">fiktivna sila</a> • <a href="/w/index.php?title=Mehanika_ravninskog_gibanja_krutog_tijela&amp;action=edit&amp;redlink=1" class="new" title="Mehanika ravninskog gibanja krutog tijela (stranica ne postoji)">mehanika ravninskog gibanja krutog tijela</a> • <a href="/w/index.php?title=Pomak_(vektor)&amp;action=edit&amp;redlink=1" class="new" title="Pomak (vektor) (stranica ne postoji)">pomak (vektor)</a> • <a href="/w/index.php?title=Relativna_brzina&amp;action=edit&amp;redlink=1" class="new" title="Relativna brzina (stranica ne postoji)">relativna brzina</a> • <a href="/wiki/Trenje" title="Trenje">trenje</a> • <a href="/w/index.php?title=Jednostavno_harmonijsko_gibanje&amp;action=edit&amp;redlink=1" class="new" title="Jednostavno harmonijsko gibanje (stranica ne postoji)">jednostavno harmonijsko gibanje</a> • <a href="/wiki/Harmonijski_oscilator" class="mw-redirect" title="Harmonijski oscilator">harmonijski oscilator</a> • <a href="/wiki/Vibracije" title="Vibracije">vibracije</a> • <a href="/wiki/Prigu%C5%A1enje" title="Prigušenje">prigušenje</a> • <a href="/w/index.php?title=Koeficijent_prigu%C5%A1enja&amp;action=edit&amp;redlink=1" class="new" title="Koeficijent prigušenja (stranica ne postoji)">koeficijent prigušenja</a> • <a href="/w/index.php?title=Rotacija_tijela_oko_nepomi%C4%8Dne_osi&amp;action=edit&amp;redlink=1" class="new" title="Rotacija tijela oko nepomične osi (stranica ne postoji)">Rotacijsko gibanje</a> • <a href="/wiki/Kru%C5%BEno_gibanje" title="Kružno gibanje">Kružno gibanje</a> • <a href="/wiki/Jednoliko_gibanje_po_kru%C5%BEnici" title="Jednoliko gibanje po kružnici">jednoliko kružno gibanje</a> • <a href="/w/index.php?title=Nejednoliko_kru%C5%BEno_gibanje&amp;action=edit&amp;redlink=1" class="new" title="Nejednoliko kružno gibanje (stranica ne postoji)">nejednoliko kružno gibanje</a> • <a href="/wiki/Centripetalna_sila" title="Centripetalna sila">centripetalna sila</a> • <a href="/wiki/Centrifugalna_sila" title="Centrifugalna sila">centrifugalna sila</a> • <a href="/w/index.php?title=Centrifugalna_sila_(rotacijski_referentni_okvir)&amp;action=edit&amp;redlink=1" class="new" title="Centrifugalna sila (rotacijski referentni okvir) (stranica ne postoji)">centrifugalna sila (rotacijski referentni okvir)</a> • <a href="/w/index.php?title=Reaktivna_centrifugalna_sila&amp;action=edit&amp;redlink=1" class="new" title="Reaktivna centrifugalna sila (stranica ne postoji)">reaktivna centrifugalna sila</a> • <a href="/wiki/Coriolisov_u%C4%8Dinak" title="Coriolisov učinak">Coriolisov učinak</a> • <a href="/w/index.php?title=Fizi%C4%8Dko_njihalo&amp;action=edit&amp;redlink=1" class="new" title="Fizičko njihalo (stranica ne postoji)">fizičko njihalo</a> • <a href="/w/index.php?title=Rotacijska_brzina&amp;action=edit&amp;redlink=1" class="new" title="Rotacijska brzina (stranica ne postoji)">rotacijska brzina</a> • <a href="/wiki/Kutno_ubrzanje" title="Kutno ubrzanje">kutno ubrzanje</a> • <a href="/wiki/Kutna_brzina" title="Kutna brzina">kutna brzina</a> • <a href="/wiki/Kutna_frekvencija" title="Kutna frekvencija">kutna frekvencija</a> • <a href="/w/index.php?title=Kutni_pomak&amp;action=edit&amp;redlink=1" class="new" title="Kutni pomak (stranica ne postoji)">kutni pomak</a> </td></tr></tbody></table> <table class="collapsible collapsed" width="100%"> <tbody><tr> <th style="text-align: left; background: #DCF0FF;">Znanstvenici </th></tr> <tr style="line-height: 150%;"> <td><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a> • <a href="/w/index.php?title=Jeremiah_Horrocks&amp;action=edit&amp;redlink=1" class="new" title="Jeremiah Horrocks (stranica ne postoji)">Jeremiah Horrocks</a> • <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a> • <a href="/wiki/Jean_le_Rond_d%27Alembert" title="Jean le Rond d&#39;Alembert">Jean le Rond d'Alembert</a> • <a href="/w/index.php?title=Alexis_Clairaut&amp;action=edit&amp;redlink=1" class="new" title="Alexis Clairaut (stranica ne postoji)">Alexis Clairaut</a> • <a href="/wiki/Joseph_Louis_Lagrange" class="mw-redirect" title="Joseph Louis Lagrange">Joseph Louis Lagrange</a> • <a href="/wiki/Pierre-Simon_Laplace" title="Pierre-Simon Laplace">Pierre-Simon Laplace</a> • <a href="/wiki/William_Rowan_Hamilton" title="William Rowan Hamilton">William Rowan Hamilton</a> • <a href="/w/index.php?title=Sim%C3%A9on-Denis_Poisson&amp;action=edit&amp;redlink=1" class="new" title="Siméon-Denis Poisson (stranica ne postoji)">Siméon-Denis Poisson</a> </td></tr></tbody></table> </td></tr> </tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka: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/290px-Elastischer_sto%C3%9F_2D.gif" decoding="async" width="290" height="166" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/2/2c/Elastischer_sto%C3%9F_2D.gif 1.5x" data-file-width="350" data-file-height="200" /></a><figcaption>Elastični <a href="/wiki/Sraz" title="Sraz">sraz</a> ili sudar u dvije dimenzije. Ukupni iznos impulsa sile i <a href="/wiki/Energija" title="Energija">energije</a> za savršeno <a href="/wiki/Elasti%C4%8Dnost" title="Elastičnost">elastičan</a> sraz ostaje sačuvan.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Moglfm19p13_pendulo_balistico.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/3/33/Moglfm19p13_pendulo_balistico.jpg" decoding="async" width="225" height="170" class="mw-file-element" data-file-width="225" data-file-height="170" /></a><figcaption><a href="/w/index.php?title=Balisti%C4%8Dko_njihalo&amp;action=edit&amp;redlink=1" class="new" title="Balističko njihalo (stranica ne postoji)">Balističko njihalo</a> je uređaj za određivanje brzine <a href="/wiki/Balistika" title="Balistika">balističkih</a> <a href="/wiki/Projektil" title="Projektil">projektila</a>, na primjer <a href="/wiki/Pu%C5%A1ka" title="Puška">puščanoga</a> zrna.</figcaption></figure> <p><b>Impuls sile</b> (<a href="/wiki/Latinski_jezik" title="Latinski jezik">lat</a>. <i>impulsus</i>: udarac, poticaj), u <a href="/wiki/Mehanika" title="Mehanika">mehanici</a> (oznaka <i>I</i>), je <a href="/wiki/Vektor" title="Vektor">vektorska</a> <a href="/wiki/Fizikalna_veli%C4%8Dina" class="mw-redirect" title="Fizikalna veličina">fizikalna veličina</a> određena (definirana) kao <a href="/wiki/Mno%C5%BEenje" title="Množenje">umnožak</a> <a href="/wiki/Sila" title="Sila">sile</a> i <a href="/wiki/Vrijeme_(fizika)" title="Vrijeme (fizika)">vremena</a> tijekom kojeg je ta sila djelovala. <a href="/wiki/Matematika" title="Matematika">Matematički</a> se računa 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 {\vec {I}}={\vec {F}}\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {I}}={\vec {F}}\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2aaf63aed144ba0220f2efafdffc791c545216e1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.875ex; height:2.843ex;" alt="{\displaystyle {\vec {I}}={\vec {F}}\cdot t}"></span></dd></dl> <p>ili, u <a href="/wiki/Integral" title="Integral">integralnom</a> obliku, ako sila nije konstantna, već je funkcija vremena (tijekom vremena od trenutka <i>t<sub>1</sub></i> do <i>t<sub>2</sub></i>): </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} \cdot 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>&#x222B;<!-- ∫ --></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> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0a233afaf6ee5cc9182863098201714fc0f83bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:14.038ex; height:6.509ex;" alt="{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot dt}"></span></dd></dl> <p>Uz pojam impulsa sile usko je vezana <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količina gibanja</a> čestice, koja je umnožak njezine <a href="/wiki/Masa" title="Masa">mase</a> i <a href="/wiki/Vektor" title="Vektor">vektora</a> <a href="/wiki/Brzina" title="Brzina">brzine</a> <i>m ∙ v</i>. Bez djelovanja impulsa nema promjene brzine čestice jer je (zakon količine gibanja): </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} \cdot dt=\Delta \mathbf {p} =m\cdot \mathbf {v_{2}} -m\cdot \mathbf {v_{1}} }"> <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>&#x222B;<!-- ∫ --></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> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">p</mi> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi mathvariant="bold">v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="bold">2</mn> </mrow> </msub> </mrow> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi mathvariant="bold">v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="bold">1</mn> </mrow> </msub> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot dt=\Delta \mathbf {p} =m\cdot \mathbf {v_{2}} -m\cdot \mathbf {v_{1}} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35cc101777d15645b9609e8af7e2dd6e5c970159" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:39.113ex; height:6.509ex;" alt="{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot dt=\Delta \mathbf {p} =m\cdot \mathbf {v_{2}} -m\cdot \mathbf {v_{1}} }"></span></dd></dl> <p>gdje je: </p> <dl><dd><i>F</i> - <a href="/wiki/Sila" title="Sila">sila</a> koja djeluje na <a href="/wiki/Tijelo_(fizika)" title="Tijelo (fizika)">tijelo</a>,</dd> <dd><i>t</i><sub>1</sub> i <i>t</i><sub>2</sub> - vrijeme ili trenutak kada sila počinje djelovati, odnosno kada sila prestaje djelovati,</dd> <dd><i>m</i> - <a href="/wiki/Masa" title="Masa">masa</a> tijela,</dd> <dd><i>v</i><sub>2</sub> - konačna <a href="/wiki/Brzina" title="Brzina">brzina</a> tijela,</dd> <dd><i>v</i><sub>1</sub> - početna brzina tijela,</dd> <dd><i>Δp</i> - promjena <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količine gibanja</a>.</dd></dl> <p>Ta se veza impulsa s količinom gibanja izvodi za česticu <a href="/wiki/Integral" title="Integral">integriranjem</a> <a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">drugoga Newtonova zakona po vremenu</a>, a u sličnu obliku postoji i kod <a href="/wiki/Gibanje" title="Gibanje">gibanja</a> krutoga tijela. <a href="/wiki/Mjerna_jedinica" title="Mjerna jedinica">Mjerna jedinica</a> impulsa jest <a href="/wiki/Njutn" title="Njutn">njutn</a><a href="/wiki/Sekunda" title="Sekunda">sekunda</a> (N&#160;s).<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p><p>Očito je da je <a href="/wiki/Derivacija" title="Derivacija">derivacija</a> impulsa po vremenu jednaka sili pa stoga iz definicije <a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">drugog Newtonovog zakona</a> proizlazi da je impuls ekvivalentan <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količini gibanja</a>. Možemo stoga pisati: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {I}}={\vec {p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {I}}={\vec {p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74227c9c17f5f9bf69ee959adcc2eb5ceadd9a1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.911ex; height:3.176ex;" alt="{\displaystyle {\vec {I}}={\vec {p}}}"></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 {\vec {F}}\cdot t=m\cdot {\vec {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}\cdot t=m\cdot {\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7cc0281c527675ad292912d9ec0968828a48c309" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.283ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}\cdot t=m\cdot {\vec {v}}}"></span></dd></dl> <p>Ovakav matematički zapis je posve korektan samo ako je sila djelovala na tijelo u mirovanju. Općenitiji zapis ima sljedeći oblik: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {I}}=m\cdot {\vec {v}}_{2}-m\cdot {\vec {v}}_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {I}}=m\cdot {\vec {v}}_{2}-m\cdot {\vec {v}}_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/06acd6eb12cf866890ed9a28e2927d93978ebecb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:19.324ex; height:3.176ex;" alt="{\displaystyle {\vec {I}}=m\cdot {\vec {v}}_{2}-m\cdot {\vec {v}}_{1}}"></span></dd></dl> <p>iz čega je očito da je impuls sile jednak promjeni <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količine gibanja</a>. Drugim riječima, impuls sile uzrokuje promjenu stanja <a href="/wiki/Gibanje" title="Gibanje">gibanja</a> baš kao što to možemo ustvrditi i za silu konstantnog intenziteta. </p><p>Također, matematički je lako pokazati da je promjena <a href="/wiki/Kineti%C4%8Dka_energija" title="Kinetička energija">kinetičke energije</a> jednaka <a href="/wiki/Skalarni_umno%C5%BEak" title="Skalarni umnožak">skalarnom umnošku</a> impulsa sile i vektora srednje <a href="/wiki/Brzina" title="Brzina">brzine</a>. </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{K2}-E_{K1}={\vec {I}}\cdot {\vec {v}}_{sr}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>K</mi> <mn>2</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>K</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>I</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>r</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{K2}-E_{K1}={\vec {I}}\cdot {\vec {v}}_{sr}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc1707cb78b7bb691c381c1fe895b96e7fa37d32" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.486ex; height:3.176ex;" alt="{\displaystyle E_{K2}-E_{K1}={\vec {I}}\cdot {\vec {v}}_{sr}}"></span></dd></dl> <p><br /> gdje je <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {v}}_{sr}={{{\vec {v}}_{2}+{\vec {v}}_{1}} \over 2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {v}}_{sr}={{{\vec {v}}_{2}+{\vec {v}}_{1}} \over 2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/beaf3ba8616a79c965c46c60576871a5ccfa745f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.154ex; height:5.343ex;" alt="{\displaystyle {\vec {v}}_{sr}={{{\vec {v}}_{2}+{\vec {v}}_{1}} \over 2}}"></span>. Ovdje je važno uočiti da se radi o <a href="/wiki/Vektor" title="Vektor">vektorskom</a>, a ne <a href="/wiki/Skalar" title="Skalar">skalarnom</a> <a href="/wiki/Zbroj" title="Zbroj">zbroju</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Impuls_sile_i_količina_gibanja"><span id="Impuls_sile_i_koli.C4.8Dina_gibanja"></span>Impuls sile i količina gibanja</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_sile&amp;veaction=edit&amp;section=1" title="Uredi odlomak: Impuls sile i količina gibanja" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_sile&amp;action=edit&amp;section=1" title="Uredi kôd odjeljka Impuls sile i količina gibanja"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="margin-left:0.3rem"><i><style data-mw-deduplicate="TemplateStyles:r7016135">.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}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><a href="/wiki/Datoteka:Vista-xmag.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/18px-Vista-xmag.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/27px-Vista-xmag.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/36px-Vista-xmag.png 2x" data-file-width="128" data-file-height="128" /></a></span> Podrobniji članak o temi: <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">Količina gibanja</a></div></i></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Armedforces_jeffery_tee_shot.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/Armedforces_jeffery_tee_shot.jpg/290px-Armedforces_jeffery_tee_shot.jpg" decoding="async" width="290" height="227" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/Armedforces_jeffery_tee_shot.jpg/435px-Armedforces_jeffery_tee_shot.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/86/Armedforces_jeffery_tee_shot.jpg/580px-Armedforces_jeffery_tee_shot.jpg 2x" data-file-width="800" data-file-height="627" /></a><figcaption>U <a href="/wiki/Golf" title="Golf">golfu</a>, impuls sile palice se prenosi na <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količinu gibanja</a> loptice.</figcaption></figure> <p>Uzmimo da se neka <a href="/wiki/Kugla" title="Kugla">kugla</a> mase <i>m</i> giba jednolikom brzinom <i>v<sub>1</sub></i>. Djelujemo li na tu kuglu silom <i>F</i>, ona će dobiti <a href="/wiki/Ubrzanje" title="Ubrzanje">ubrzanje</a> ili akceleraciju <i>a</i>, pa će njena <a href="/wiki/Brzina" title="Brzina">brzina</a> <i>v<sub>2</sub></i> biti (<a href="/wiki/Jednoliko_ubrzano_gibanje_po_pravcu" title="Jednoliko ubrzano gibanje po pravcu">jednoliko ubrzano gibanje po pravcu</a>): </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v_{2}=v_{1}+a\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>a</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v_{2}=v_{1}+a\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87670c54ea0cc7bdf4981cb90f9998bc6d40e4d8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.051ex; height:2.343ex;" alt="{\displaystyle v_{2}=v_{1}+a\cdot t}"></span></dd></dl> <p><a href="/wiki/Mno%C5%BEenje" title="Množenje">Pomnožimo</a> lijevu i desnu stranu ove jednadžbe s <i>m</i>, dobit ćemo: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m\cdot v_{2}=m\cdot v_{1}+m\cdot a\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>a</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m\cdot v_{2}=m\cdot v_{1}+m\cdot a\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fc0a3d2ce615c4e6ef8e64e4ece1f38b0f23795" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.21ex; height:2.343ex;" alt="{\displaystyle m\cdot v_{2}=m\cdot v_{1}+m\cdot a\cdot t}"></span></dd></dl> <p>Kako je prema <a href="/wiki/Newtonovi_zakoni_gibanja" title="Newtonovi zakoni gibanja">2. Newtonovom zakonu gibanja</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F=m\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=m\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7b767e501988f58a63aceeea58b644e0738506a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.789ex; height:2.176ex;" alt="{\displaystyle F=m\cdot a}"></span></dd></dl> <p>to je: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m\cdot v_{2}=m\cdot v_{1}+F\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>F</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m\cdot v_{2}=m\cdot v_{1}+F\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2bc4fb34bd25b65b93b5c24f32cd4d842003c60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.001ex; height:2.509ex;" alt="{\displaystyle m\cdot v_{2}=m\cdot v_{1}+F\cdot t}"></span></dd></dl> <p>pa dobivamo: </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\cdot t=m\cdot v_{2}-m\cdot v_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F\cdot t=m\cdot v_{2}-m\cdot v_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42dbb8ff95992528ea34c75e6083e3a4d03a15e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.001ex; height:2.509ex;" alt="{\displaystyle F\cdot t=m\cdot v_{2}-m\cdot v_{1}}"></span></dd></dl> <p>Umnožak sile <i>F</i> i vremena <i>t</i>, u kojem je sila djelovala na tijelo, zove se impuls sile, a umnožak mase i brzine zove se <a href="/wiki/Koli%C4%8Dina_gibanja" title="Količina gibanja">količina gibanja</a>. </p><p>Kako je <i>m v<sub>2</sub></i> = količina gibanja na kraju vremena <i>t</i>, a <i>m v<sub>1</sub></i> = količina gibanja prije djelovanja sile <i>F</i>, to je <i>m v<sub>2</sub> - m v<sub>1</sub></i> = prirast količine gibanja. Prema tome, navedeni izraz u matematičkom obliku kazuje poučak o impulsu sile koji glasi: "Impuls sile za neko vrijeme <i>t</i> jednak je prirastu količine gibanja za to vrijeme". </p><p>Ako kugla miruje prije djelovanja sile, to jest <i>v<sub>1</sub></i> = 0, onda je: </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\cdot t=m\cdot v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>t</mi> <mo>=</mo> <mi>m</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F\cdot t=m\cdot v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88f76962be632fa30c6ca317b0a3ebd29ea6143f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.205ex; height:2.176ex;" alt="{\displaystyle F\cdot t=m\cdot v}"></span></dd></dl> <p>što znači da je impuls sile za neko vrijeme <i>t</i> jednak količini gibanja.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Izvori">Izvori</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Impuls_sile&amp;veaction=edit&amp;section=2" title="Uredi odlomak: Izvori" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Impuls_sile&amp;action=edit&amp;section=2" title="Uredi kôd odjeljka Izvori"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r6541845">.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"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"> <b>impuls</b>, <a rel="nofollow" class="external autonumber" href="http://www.enciklopedija.hr/Natuknica.aspx?ID=27229">[1]</a> "Hrvatska enciklopedija", Leksikografski zavod Miroslav Krleža, www.enciklopedija.hr, 2015.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"> Velimir Kruz: "Tehnička fizika za tehničke škole", "Školska knjiga" Zagreb, 1969.</span> </li> </ol></div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐587f7d4878‐rqbq4 Cached time: 20241120193942 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.093 seconds Real time usage: 0.192 seconds Preprocessor visited node count: 339/1000000 Post‐expand include size: 10201/2097152 bytes Template argument size: 2765/2097152 bytes Highest expansion depth: 6/100 Expensive parser function count: 1/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2795/5000000 bytes Lua time usage: 0.017/10.000 seconds Lua memory usage: 644137/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 63.088 1 -total 63.08% 39.798 1 Predložak:Glavni 18.54% 11.694 1 Predložak:Izvori 12.94% 8.162 1 Predložak:Klasična_mehanika 7.36% 4.641 1 Predložak:NavigacijaFizika --> <!-- Saved in parser cache with key hrwiki:pcache:13849:|#|:idhash:canonical and timestamp 20241120193942 and revision id 6677376. 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