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Impuls (física) - Viquipèdia, l'enciclopèdia lliure
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dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <p>En <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Mec%C3%A0nica_cl%C3%A0ssica?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mecànica clàssica">mecànica clàssica</a>, s'anomena <b>impuls</b> (abreviat <b>I</b>) a la <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Magnitud_f%C3%ADsica?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Magnitud física">magnitud física</a> definida com a la variació de <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Quantitat_de_moviment?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quantitat de moviment">quantitat de moviment</a> que experimenta un objecte en un sistema tancat. L'impuls és, per definició, la <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Integral?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Integral">integral</a> d'una <a href="https://ca-m-wikipedia-org.translate.goog/wiki/For%C3%A7a_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Força (física)">força</a> respecte al temps.</p> <table class="infobox" style="font-size:90%;width:25em"> <caption style="font-weight:bold;background-color: #b0d1ad"> <span style="float:left;"><span typeof="mw:File"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Fitxer:Noun_project_1842.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Infotaula de magnitud física"><img alt="Infotaula de magnitud física" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/25px-Noun_project_1842.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/38px-Noun_project_1842.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/9/97/Noun_project_1842.svg/50px-Noun_project_1842.svg.png 2x" data-file-width="100" data-file-height="100"></a></span></span>Impuls </caption> <tbody> <tr> <th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Símbol</th> <td class="infobox-data"><i>I</i>, <i>J</i></td> </tr> <tr> <th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Unitats</th> <td class="infobox-data"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Newton_(unitat)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Newton (unitat)">N</a> · <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Segon?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Segon">s</a> o <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Kilogram?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Kilogram">kg</a> · <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Metre_per_segon?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Metre per segon">m/s</a></td> </tr> <tr> <th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Fórmula</th> <td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic"> I </mi> </mrow> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic"> F </mi> </mrow> <mspace width="thinmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a270953dc374563cfcb71a1bd877ec84bb8e4c60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:13.339ex; height:6.509ex;" alt="{\displaystyle {\boldsymbol {I}}=\int _{t_{1}}^{t_{2}}{\boldsymbol {F}}\,\mathrm {d} t}"></span> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://www.wikidata.org/wiki/Q837940?uselang%3Dca%23P2534" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600"></a></span></span></td> </tr> </tbody> </table> <figure class="mw-default-size" typeof="mw:File/Thumb"> <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Fitxer:Elastischer_sto%C3%9F_2D.gif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Elastischer_sto%C3%9F_2D.gif/220px-Elastischer_sto%C3%9F_2D.gif" decoding="async" width="220" height="126" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Elastischer_sto%25C3%259F_2D.gif/330px-Elastischer_sto%25C3%259F_2D.gif 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/2/2c/Elastischer_sto%25C3%259F_2D.gif 2x" data-file-width="350" data-file-height="200"></a> <figcaption> Animació que il·lustra un xoc elàstic </figcaption> </figure> <p>Un impuls canvia el moment lineal d'un objecte i té les mateixes unitats i dimensions que el moment lineal: Kg·m·s<sup>-1</sup>. Aquest tipus d'accions ja va ser acotat per <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Isaac_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Isaac Newton">Isaac Newton</a> en la seva <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Lleis_de_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Lleis de Newton">segona llei</a>: Newton l'anomenà <i>vis motrix</i>, referint-se a una espècie de força del moviment.</p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"> <input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"> <div class="toctitle" lang="ca" dir="ltr"> <h2 id="mw-toc-heading">Contingut</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Impuls_en_un_objecte_de_massa_constant"><span class="tocnumber">1</span> <span class="toctext">Impuls en un objecte de massa constant</span></a></li> <li class="toclevel-1 tocsection-2"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Col%C2%B7lisi%C3%B3"><span class="tocnumber">2</span> <span class="toctext">Col·lisió</span></a> <ul> <li class="toclevel-2 tocsection-3"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Col%C2%B7lisi%C3%B3_el%C3%A0stica"><span class="tocnumber">2.1</span> <span class="toctext">Col·lisió elàstica</span></a></li> <li class="toclevel-2 tocsection-4"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Col%C2%B7lisi%C3%B3_inel%C3%A0stica"><span class="tocnumber">2.2</span> <span class="toctext">Col·lisió inelàstica</span></a></li> </ul></li> <li class="toclevel-1 tocsection-5"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Refer%C3%A8ncies"><span class="tocnumber">3</span> <span class="toctext">Referències</span></a></li> </ul> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Impuls_en_un_objecte_de_massa_constant">Impuls en un objecte de massa constant</h2><span class="mw-editsection"> <a role="button" href="https://ca-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifica la secció: Impuls en un objecte de massa constant" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifica</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <p>En el cas d'un impuls sobre un objecte amb massa constant, la magnitud d'impuls es defineix:</p> <p>Impuls <b>I</b> produït del temps <i>t</i><sub>1</sub> a <i>t</i>₂ :<sup id="cite_ref-1" class="reference"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></p> <dl> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,dt}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> I </mi> </mrow> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> F </mi> </mrow> <mspace width="thinmathspace"></mspace> <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> <noscript> <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}"> </noscript><span class="lazy-image-placeholder" style="width: 12.746ex;height: 6.509ex;vertical-align: -2.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de1dbde38ee5fcc9585de5853a6893a117088785" data-alt="{\displaystyle \mathbf {I} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,dt}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>on <b>F</b> és la força aplicada de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t_{1}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle t_{1}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cb0768c0bd659f2f84fb5ef9f4b74f336123d915" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.894ex; height:2.343ex;" alt="{\displaystyle t_{1}}"> </noscript><span class="lazy-image-placeholder" style="width: 1.894ex;height: 2.343ex;vertical-align: -0.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cb0768c0bd659f2f84fb5ef9f4b74f336123d915" data-alt="{\displaystyle t_{1}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> a <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t_{2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle t_{2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/749fee708b41e7079eabd50d61c8bf3e965db16f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.894ex; height:2.343ex;" alt="{\displaystyle t_{2}}"> </noscript><span class="lazy-image-placeholder" style="width: 1.894ex;height: 2.343ex;vertical-align: -0.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/749fee708b41e7079eabd50d61c8bf3e965db16f" data-alt="{\displaystyle t_{2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>.</p> <p>Es pot substituir:</p> <dl> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F={\frac {dp}{dt}}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> F </mi> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi> d </mi> <mi> p </mi> </mrow> <mrow> <mi> d </mi> <mi> t </mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle F={\frac {dp}{dt}}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/854492559000ecb866fb39f6d7db233703c10eb5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.061ex; height:5.509ex;" alt="{\displaystyle F={\frac {dp}{dt}}}"> </noscript><span class="lazy-image-placeholder" style="width: 8.061ex;height: 5.509ex;vertical-align: -2.005ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/854492559000ecb866fb39f6d7db233703c10eb5" data-alt="{\displaystyle F={\frac {dp}{dt}}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>De manera que s'obté:</p> <dl> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi> d </mi> <mi> p </mi> </mrow> <mrow> <mi> d </mi> <mi> t </mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace"></mspace> <mi> d </mi> <mi> t </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56f5e2f61886c11637021b49d4425ebc8d1ed4db" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:14.443ex; height:6.509ex;" alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}"> </noscript><span class="lazy-image-placeholder" style="width: 14.443ex;height: 6.509ex;vertical-align: -2.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56f5e2f61886c11637021b49d4425ebc8d1ed4db" data-alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}{\frac {dp}{dt}}\,dt}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I=\int _{t_{1}}^{t_{2}}dp}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mi> d </mi> <mi> p </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I=\int _{t_{1}}^{t_{2}}dp} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b474977280baf461cd37ff713b33e0385db6055" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:11.164ex; height:6.509ex;" alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}dp}"> </noscript><span class="lazy-image-placeholder" style="width: 11.164ex;height: 6.509ex;vertical-align: -2.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b474977280baf461cd37ff713b33e0385db6055" data-alt="{\displaystyle I=\int _{t_{1}}^{t_{2}}dp}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I=\Delta \ p}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mo> = </mo> <mi mathvariant="normal"> Δ<!-- Δ --> </mi> <mtext> </mtext> <mi> p </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I=\Delta \ p} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc5813c92286d536cd494a5f681351b9e106e6bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.956ex; height:2.509ex;" alt="{\displaystyle I=\Delta \ p}"> </noscript><span class="lazy-image-placeholder" style="width: 7.956ex;height: 2.509ex;vertical-align: -0.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc5813c92286d536cd494a5f681351b9e106e6bb" data-alt="{\displaystyle I=\Delta \ p}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>Que dona com a resultat la variació de quantitat de moviment: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta \ p}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal"> Δ<!-- Δ --> </mi> <mtext> </mtext> <mi> p </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \Delta \ p} </annotation> </semantics> </math></span> <noscript> <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}"> </noscript><span class="lazy-image-placeholder" style="width: 3.686ex;height: 2.509ex;vertical-align: -0.671ex;" data-mw-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/679b02bba58e1fdbdd48a425f9bb9a03c541c9a7" data-alt="{\displaystyle \Delta \ p}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Col·lisió"><span id="Col.C2.B7lisi.C3.B3"></span>Col·lisió</h2><span class="mw-editsection"> <a role="button" href="https://ca-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifica la secció: Col·lisió" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifica</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <p>Les col·lisions són interaccions de dos o més cossos en què hi ha contacte entre ells durant un temps. Hi ha diferents tipus de col·lisions, les col·lisions elàstiques, inelàstiques i totalment inelàstiques. Tots aquests xocs tenen la característica de conservar el seu <i>momentum</i> o quantitat de moviment, però no la seva energia mecànica, que en la majoria dels casos només es considera l'energia cinètica. Els xocs que són elàstics mantenen el momentum inicial del sistema igual al final de la mateixa manera que l'energia cinètica total del sistema. Dins d'aquest tipus de xoc és important mencionar un cas importants que és el xoc de dos cossos d'igual massa i un d'ells inicialment en repòs. En el cas que els dos cossos tinguin la mateixa massa i un d'ells es troba en repòs, en impactar es transferirà l'energia des del cos en moviment cap al que no s'està movent, i el cos que es trobava inicialment en moviment romandrà en repòs, mentre que l'altre seguirà en moviment, el mateix que seguia el primer cos, un exemple d'aquest és el joc és el billar. Mentre dura el xoc cal assenyalar que en el contacte dels dos cossos l'energia s'emmagatzema en una deformació mínima i no permanent.</p> <div class="mw-heading mw-heading3"> <h3 id="Col·lisió_elàstica"><span id="Col.C2.B7lisi.C3.B3_el.C3.A0stica"></span>Col·lisió elàstica</h3><span class="mw-editsection"> <a role="button" href="https://ca-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifica la secció: Col·lisió elàstica" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifica</span> </a> </span> </div> <style data-mw-deduplicate="TemplateStyles:r30997230">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style> <div role="note" class="hatnote navigation-not-searchable"> Article principal: <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Xoc_el%C3%A0stic?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Xoc elàstic">Xoc elàstic</a> </div> <p>En física, en el cas ideal, una col·lisió perfectament elàstica és un xoc entre dos o més cossos que no pateixen deformacions permanents degut l'impacte. En una col·lisió perfectament elàstica es conserven tant el moment lineal com l'energia cinètica del sistema. durant una col·lisió, encara que siguin dos sòlids, no es poden considerar perfectament elàstics, ja que sempre hi ha una deformació.</p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"> <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Fitxer:Elastischer_sto%C3%9F.gif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/220px-Elastischer_sto%C3%9F.gif" decoding="async" width="220" height="26" class="mw-file-element" data-file-width="500" data-file-height="60"> </noscript><span class="lazy-image-placeholder" style="width: 220px;height: 26px;" data-mw-src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/220px-Elastischer_sto%C3%9F.gif" data-width="220" data-height="26" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/330px-Elastischer_sto%C3%9F.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Elastischer_sto%C3%9F.gif/440px-Elastischer_sto%C3%9F.gif 2x" data-class="mw-file-element"> </span></a> <figcaption> Col·lisió elàstica </figcaption> </figure> <div class="mw-heading mw-heading3"> <h3 id="Col·lisió_inelàstica"><span id="Col.C2.B7lisi.C3.B3_inel.C3.A0stica"></span>Col·lisió inelàstica</h3><span class="mw-editsection"> <a role="button" href="https://ca-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifica la secció: Col·lisió inelàstica" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifica</span> </a> </span> </div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r30997230"> <div role="note" class="hatnote navigation-not-searchable"> Article principal: <a href="https://ca-m-wikipedia-org.translate.goog/wiki/Xoc_inel%C3%A0stic?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Xoc inelàstic">Xoc inelàstic</a> </div> <p>Les col·lisions en què l'energia no es conserva produeixen deformacions permanents dels cossos i es denominen col·lisions inelàstiques.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"> <a role="button" href="https://ca-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(f%C3%ADsica)&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifica la secció: Referències" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifica</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Impuls_(f%C3%ADsica)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFHibbeler2010"><span style="font-variant: small-caps;">Hibbeler</span>, Russell C. <i>Engineering Mechanics, 12th edition</i>. Pearson Prentice Hall, 2010, p. 222. <span style="font-size:90%; white-space:nowrap;"><a href="https://ca-m-wikipedia-org.translate.goog/wiki/Especial:Fonts_bibliogr%C3%A0fiques/0-13-607791-9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Especial:Fonts bibliogràfiques/0-13-607791-9">ISBN 0-13-607791-9</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Engineering+Mechanics%2C+12th+edition&rft.aulast=Hibbeler&rft.aufirst=Russell+C.&rft.date=2010&rft.pub=Pearson+Prentice+Hall&rft.pages=p.%26nbsp%3B222&rft.isbn=0-13-607791-9"><span style="display: none;"> </span></span></span></li> </ol> </div> </div> <p><span style="display: none;" class="interProject"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wiktionary.org/wiki/impuls" class="extiw" title="wikt:impuls">Viccionari</a></span></p><!-- NewPP limit report Parsed by mw‐web.eqiad.main‐55fd5678dd‐fhvrw Cached time: 20250123163736 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.154 seconds Real time usage: 0.298 seconds Preprocessor visited node count: 1017/1000000 Post‐expand include size: 32413/2097152 bytes Template argument size: 722/2097152 bytes Highest expansion depth: 13/100 Expensive parser function count: 2/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2155/5000000 bytes Lua time usage: 0.058/10.000 seconds Lua memory usage: 1734362/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 192.725 1 -total 50.31% 96.962 1 Plantilla:Infotaula_magnitud_física 48.47% 93.415 1 Plantilla:Infotaula 13.77% 26.547 1 Plantilla:Referències 12.90% 24.861 2 Plantilla:Article_principal 11.20% 21.591 1 Plantilla:Mecànica_clàssica 11.03% 21.262 1 Plantilla:Citar_ref 9.54% 18.394 1 Plantilla:Autoritat 9.47% 18.249 1 Plantilla:Barra_lateral_amb_llistes_plegables 9.33% 17.981 1 Plantilla:Citar_llibre --> <!-- Saved in parser cache with key cawiki:pcache:661700:|#|:idhash:canonical and timestamp 20250123163736 and revision id 31972301. 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mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cs.wikipedia.org/wiki/Impuls_s%25C3%25ADly" title="Impuls síly - txec" lang="cs" hreflang="cs" data-title="Impuls síly" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li> <li class="interlanguage-link interwiki-el mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://el.wikipedia.org/wiki/%25CE%258F%25CE%25B8%25CE%25B7%25CF%2583%25CE%25B7" title="Ώθηση - grec" lang="el" hreflang="el" data-title="Ώθηση" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://en.wikipedia.org/wiki/Impulse_(physics)" title="Impulse (physics) - anglès" lang="en" hreflang="en" data-title="Impulse (physics)" data-language-autonym="English" data-language-local-name="anglès" class="interlanguage-link-target"><span>English</span></a></li> <li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://es.wikipedia.org/wiki/Impulso" title="Impulso - espanyol" lang="es" hreflang="es" data-title="Impulso" data-language-autonym="Español" data-language-local-name="espanyol" class="interlanguage-link-target"><span>Español</span></a></li> <li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eu.wikipedia.org/wiki/Bulkada_(fisika)" title="Bulkada (fisika) - basc" lang="eu" hreflang="eu" data-title="Bulkada (fisika)" data-language-autonym="Euskara" data-language-local-name="basc" class="interlanguage-link-target"><span>Euskara</span></a></li> <li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fa.wikipedia.org/wiki/%25D8%25B6%25D8%25B1%25D8%25A8%25D9%2587_(%25D9%2581%25DB%258C%25D8%25B2%25DB%258C%25DA%25A9)" title="ضربه (فیزیک) - persa" lang="fa" hreflang="fa" data-title="ضربه (فیزیک)" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li> <li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fi.wikipedia.org/wiki/Impulssi" title="Impulssi - finès" lang="fi" hreflang="fi" data-title="Impulssi" data-language-autonym="Suomi" data-language-local-name="finès" class="interlanguage-link-target"><span>Suomi</span></a></li> <li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/wiki/Percussion_(physique)" title="Percussion (physique) - francès" lang="fr" hreflang="fr" data-title="Percussion (physique)" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li> <li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gl.wikipedia.org/wiki/Impulso_(magnitude_f%25C3%25ADsica)" title="Impulso (magnitude física) - gallec" lang="gl" hreflang="gl" data-title="Impulso (magnitude física)" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li> <li class="interlanguage-link interwiki-he mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://he.wikipedia.org/wiki/%25D7%259E%25D7%25AA%25D7%25A7%25D7%25A3" title="מתקף - hebreu" lang="he" hreflang="he" data-title="מתקף" data-language-autonym="עברית" data-language-local-name="hebreu" class="interlanguage-link-target"><span>עברית</span></a></li> <li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hi.wikipedia.org/wiki/%25E0%25A4%2586%25E0%25A4%25B5%25E0%25A5%2587%25E0%25A4%2597_(%25E0%25A4%25AD%25E0%25A5%258C%25E0%25A4%25A4%25E0%25A4%25BF%25E0%25A4%2595%25E0%25A5%2580)" 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hr.wikipedia.org/wiki/Impuls_sile" title="Impuls sile - croat" lang="hr" hreflang="hr" data-title="Impuls sile" data-language-autonym="Hrvatski" data-language-local-name="croat" class="interlanguage-link-target"><span>Hrvatski</span></a></li> <li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ht.wikipedia.org/wiki/Enpilsyon" title="Enpilsyon - crioll d’Haití" lang="ht" hreflang="ht" data-title="Enpilsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="crioll d’Haití" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li> <li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hy.wikipedia.org/wiki/%25D5%2588%25D6%2582%25D5%25AA%25D5%25AB_%25D5%25AB%25D5%25B4%25D5%25BA%25D5%25B8%25D6%2582%25D5%25AC%25D5%25BD" title="Ուժի իմպուլս - armeni" lang="hy" hreflang="hy" data-title="Ուժի իմպուլս" data-language-autonym="Հայերեն" data-language-local-name="armeni" class="interlanguage-link-target"><span>Հայերեն</span></a></li> <li class="interlanguage-link interwiki-id mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/wiki/Impuls" title="Impuls - indonesi" lang="id" hreflang="id" data-title="Impuls" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li> <li class="interlanguage-link interwiki-it mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://it.wikipedia.org/wiki/Impulso_(fisica)" title="Impulso (fisica) - italià" lang="it" hreflang="it" data-title="Impulso (fisica)" data-language-autonym="Italiano" data-language-local-name="italià" class="interlanguage-link-target"><span>Italiano</span></a></li> <li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ja.wikipedia.org/wiki/%25E5%258A%259B%25E7%25A9%258D" title="力積 - japonès" lang="ja" hreflang="ja" data-title="力積" data-language-autonym="日本語" data-language-local-name="japonès" class="interlanguage-link-target"><span>日本語</span></a></li> <li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kk.wikipedia.org/wiki/%25D0%259A%25D2%25AF%25D1%2588_%25D1%2581%25D0%25B5%25D1%2580%25D0%25BF%25D1%2596%25D0%25BD%25D1%2596" title="Күш серпіні - kazakh" lang="kk" hreflang="kk" data-title="Күш серпіні" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li> <li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ko.wikipedia.org/wiki/%25EC%25B6%25A9%25EA%25B2%25A9%25EB%259F%2589" title="충격량 - coreà" lang="ko" hreflang="ko" data-title="충격량" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li> <li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ku.wikipedia.org/wiki/Tehm_(fiz%25C3%25AEk)" title="Tehm (fizîk) - kurd" lang="ku" hreflang="ku" data-title="Tehm (fizîk)" data-language-autonym="Kurdî" data-language-local-name="kurd" class="interlanguage-link-target"><span>Kurdî</span></a></li> <li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lt.wikipedia.org/wiki/J%25C4%2597gos_impulsas" title="Jėgos impulsas - lituà" lang="lt" hreflang="lt" data-title="Jėgos impulsas" data-language-autonym="Lietuvių" data-language-local-name="lituà" class="interlanguage-link-target"><span>Lietuvių</span></a></li> <li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lv.wikipedia.org/wiki/Sp%25C4%2593ka_impulss" title="Spēka impulss - letó" lang="lv" hreflang="lv" data-title="Spēka impulss" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li> <li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ml.wikipedia.org/wiki/%25E0%25B4%2586%25E0%25B4%25B5%25E0%25B5%2587%25E0%25B4%2597%25E0%25B4%2582" title="ആവേഗം - malaiàlam" lang="ml" hreflang="ml" data-title="ആവേഗം" data-language-autonym="മലയാളം" data-language-local-name="malaiàlam" class="interlanguage-link-target"><span>മലയാളം</span></a></li> <li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mn.wikipedia.org/wiki/%25D0%2598%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%258C%25D1%2581" title="Импульс - mongol" lang="mn" hreflang="mn" data-title="Импульс" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li> <li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ms.wikipedia.org/wiki/Impuls_(fizik)" title="Impuls (fizik) - malai" lang="ms" hreflang="ms" data-title="Impuls (fizik)" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li> <li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nl.wikipedia.org/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde) - neerlandès" lang="nl" hreflang="nl" data-title="Stoot (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="neerlandès" class="interlanguage-link-target"><span>Nederlands</span></a></li> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nn.wikipedia.org/wiki/Impuls_i_fysikk" title="Impuls i fysikk - noruec nynorsk" lang="nn" hreflang="nn" data-title="Impuls i fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li> <li class="interlanguage-link interwiki-no mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://no.wikipedia.org/wiki/Kraftimpuls" title="Kraftimpuls - noruec bokmål" lang="nb" hreflang="nb" data-title="Kraftimpuls" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li> <li class="interlanguage-link interwiki-om mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://om.wikipedia.org/wiki/Romi%2527a(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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pl.wikipedia.org/wiki/Pop%25C4%2599d_(fizyka)" title="Popęd (fizyka) - polonès" lang="pl" hreflang="pl" data-title="Popęd (fizyka)" data-language-autonym="Polski" data-language-local-name="polonès" class="interlanguage-link-target"><span>Polski</span></a></li> <li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pms.wikipedia.org/wiki/Ampulsion" title="Ampulsion - piemontès" lang="pms" hreflang="pms" data-title="Ampulsion" data-language-autonym="Piemontèis" data-language-local-name="piemontès" class="interlanguage-link-target"><span>Piemontèis</span></a></li> <li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Impulso" title="Impulso - portuguès" lang="pt" hreflang="pt" data-title="Impulso" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</span></a></li> <li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ru.wikipedia.org/wiki/%25D0%2598%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%258C%25D1%2581_%25D1%2581%25D0%25B8%25D0%25BB%25D1%258B" title="Импульс силы - rus" lang="ru" hreflang="ru" data-title="Импульс силы" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li> <li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sh.wikipedia.org/wiki/Impuls_sile" title="Impuls sile - serbocroat" lang="sh" hreflang="sh" data-title="Impuls sile" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li> <li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sk.wikipedia.org/wiki/Impulz_sily" title="Impulz sily - eslovac" lang="sk" hreflang="sk" data-title="Impulz sily" data-language-autonym="Slovenčina" data-language-local-name="eslovac" class="interlanguage-link-target"><span>Slovenčina</span></a></li> <li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sl.wikipedia.org/wiki/Sunek_sile" title="Sunek sile - eslovè" lang="sl" hreflang="sl" data-title="Sunek sile" data-language-autonym="Slovenščina" data-language-local-name="eslovè" class="interlanguage-link-target"><span>Slovenščina</span></a></li> <li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sq.wikipedia.org/wiki/Impulsi" title="Impulsi - albanès" lang="sq" hreflang="sq" data-title="Impulsi" data-language-autonym="Shqip" data-language-local-name="albanès" class="interlanguage-link-target"><span>Shqip</span></a></li> <li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sr.wikipedia.org/wiki/Impuls_sile" title="Impuls sile - serbi" lang="sr" hreflang="sr" data-title="Impuls sile" data-language-autonym="Српски / srpski" data-language-local-name="serbi" class="interlanguage-link-target"><span>Српски / srpski</span></a></li> <li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ta.wikipedia.org/wiki/%25E0%25AE%25A4%25E0%25AE%25BE%25E0%25AE%2595%25E0%25AF%258D%25E0%25AE%2595%25E0%25AF%2581%25E0%25AE%25A4%25E0%25AE%25B2%25E0%25AF%258D_(%25E0%25AE%2587%25E0%25AE%25AF%25E0%25AE%25B1%25E0%25AF%258D%25E0%25AE%25AA%25E0%25AE%25BF%25E0%25AE%25AF%25E0%25AE%25B2%25E0%25AF%258D)" title="தாக்குதல் (இயற்பியல்) - tàmil" lang="ta" hreflang="ta" data-title="தாக்குதல் (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li> <li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tk.wikipedia.org/wiki/Impuls" title="Impuls - turcman" lang="tk" hreflang="tk" data-title="Impuls" data-language-autonym="Türkmençe" data-language-local-name="turcman" class="interlanguage-link-target"><span>Türkmençe</span></a></li> <li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tr.wikipedia.org/wiki/%25C4%25B0mpuls_(fizik)" title="İmpuls (fizik) - turc" lang="tr" hreflang="tr" data-title="İmpuls (fizik)" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li> <li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uk.wikipedia.org/wiki/%25D0%2586%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%258C%25D1%2581_%25D1%2581%25D0%25B8%25D0%25BB%25D0%25B8" title="Імпульс сили - ucraïnès" lang="uk" hreflang="uk" data-title="Імпульс сили" data-language-autonym="Українська" data-language-local-name="ucraïnès" class="interlanguage-link-target"><span>Українська</span></a></li> <li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uz.wikipedia.org/wiki/Impuls_(fizika)" title="Impuls (fizika) - uzbek" lang="uz" hreflang="uz" data-title="Impuls (fizika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li> <li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vi.wikipedia.org/wiki/Xung_l%25C6%25B0%25E1%25BB%25A3ng" title="Xung lượng - vietnamita" lang="vi" hreflang="vi" data-title="Xung lượng" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> <li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://wuu.wikipedia.org/wiki/%25E5%2586%25B2%25E9%2587%258F" title="冲量 - xinès wu" lang="wuu" hreflang="wuu" data-title="冲量" data-language-autonym="吴语" data-language-local-name="xinès wu" class="interlanguage-link-target"><span>吴语</span></a></li> <li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh.wikipedia.org/wiki/%25E5%2586%25B2%25E9%2587%258F" title="冲量 - xinès" lang="zh" hreflang="zh" data-title="冲量" data-language-autonym="中文" data-language-local-name="xinès" class="interlanguage-link-target"><span>中文</span></a></li> <li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-yue.wikipedia.org/wiki/%25E8%25A1%259D%25E9%2587%258F" title="衝量 - cantonès" lang="yue" hreflang="yue" data-title="衝量" data-language-autonym="粵語" data-language-local-name="cantonès" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> </section> </div> <div class="minerva-footer-logo"> <img 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