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Impuls - Wikipedia bahasa Indonesia, ensiklopedia bebas
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id="mw-content-text" class="mw-body-content"> <script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="id" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <style data-mw-deduplicate="TemplateStyles:r18844875">.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"> Untuk kegunaan lain, lihat <a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls_(disambiguasi)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Impuls (disambiguasi) (halaman belum tersedia)">Impuls (disambiguasi)</a>. </div> <style data-mw-deduplicate="TemplateStyles:r22657712">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style> <p>Dalam <a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_klasik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika klasik">mekanika klasik</a>, <b>impuls</b> (disimbolkan <b>J</b> atau <b>Imp</b>) adalah <a href="https://id-m-wikipedia-org.translate.goog/wiki/Integral?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Integral">integral</a> dari <a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_(fisika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya (fisika)">gaya</a> (F) terhadap <a href="https://id-m-wikipedia-org.translate.goog/wiki/Waktu?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Waktu">waktu</a> (t) bekerjanya gaya tersebut. Karena gaya merupakan suatu <a href="https://id-m-wikipedia-org.translate.goog/wiki/Vektor_(spasial)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Vektor (spasial)">besaran vektor</a>, maka impuls juga merupakan <a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Besaran_vektor&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Besaran vektor (halaman belum tersedia)">besaran vektor</a>. Satuan dari impuls adalah Newton second (N.s).</p> <table class="infobox" style="width:20.55em;"> <tbody> <tr> <th colspan="2" class="infobox-above" style="font-style:italic;padding-bottom:0.35em;border-bottom:1px solid #aaa;">Impuls</th> </tr> <tr> <th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;">Simbol umum</th> <td class="infobox-data" style="width:44%;"><b>J</b>, <b>Imp</b></td> </tr> <tr> <th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Satuan_SI?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Satuan SI">Satuan SI</a></th> <td class="infobox-data" style="width:44%;"><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Newton_second&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Newton second (halaman belum tersedia)">Newton second</a> (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Newton_(satuan)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Newton (satuan)">N</a>⋅<a href="https://id-m-wikipedia-org.translate.goog/wiki/Detik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Detik">s</a>)</td> </tr> <tr> <th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;">Satuan lainnya</th> <td class="infobox-data" style="width:44%;"><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Pon_(gaya)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Pon (gaya) (halaman belum tersedia)">pound</a>⋅<a href="https://id-m-wikipedia-org.translate.goog/wiki/Detik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Detik">s</a></td> </tr> <tr> <th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Analisis_dimensi?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Analisis dimensi">Dimensi SI</a></th> <td class="infobox-data" style="width:44%;"><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 {\mathsf {L}}{\mathsf {M}}{\mathsf {T}}^{-1}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif"> L </mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif"> M </mi> </mrow> </mrow> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif"> T </mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo> −<!-- − --> </mo> <mn> 1 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\mathsf {L}}{\mathsf {M}}{\mathsf {T}}^{-1}} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4933ff7d2190fa4327e9e809f8b314bc8b84a575" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.209ex; height:2.676ex;" alt="{\displaystyle {\mathsf {L}}{\mathsf {M}}{\mathsf {T}}^{-1}}"></span></td> </tr> <tr> <th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;"><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Besaran_terkonservasi&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Besaran terkonservasi (halaman belum tersedia)">Terkonservasi</a>?</th> <td class="infobox-data" style="width:44%;">ya</td> </tr> </tbody> </table> <style data-mw-deduplicate="TemplateStyles:r26333518">.mw-parser-output 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.sidebar-list-title-c{padding:0 0.4em;text-align:center;margin:0 3.3em}@media(max-width:640px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}body.skin--responsive .mw-parser-output .sidebar a>img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style> <table class="sidebar sidebar-collapse"> <tbody> <tr> <td class="sidebar-pretitle">Bagian dari seri artikel mengenai</td> </tr> <tr> <th class="sidebar-title-with-pretitle" style="padding-left:0.9em;padding-right:0.9em;"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_klasik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika klasik">Mekanika klasik</a></th> </tr> <tr> <td class="sidebar-image"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {F}}=m{\vec {a}}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi> F </mi> <mo stretchy="false"> →<!-- → --> </mo> </mover> </mrow> </mrow> <mo> = </mo> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi> a </mi> <mo stretchy="false"> →<!-- → --> </mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\vec {F}}=m{\vec {a}}} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7b202a8eaba4b424be52bcbaa043727b6ad9860" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.14ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}=m{\vec {a}}}"></span> <div class="sidebar-caption" style="font-size:90%;padding:0.6em 0;font-style:italic;"> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Hukum_kedua_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Hukum kedua Newton">Hukum kedua Newton</a> </div></td> </tr> <tr> <th class="sidebar-heading" style="background:#ddf; display:block;margin-bottom:1.0em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Sejarah_mekanika_klasik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sejarah mekanika klasik">Sejarah</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Garis_waktu_mekanika_klasik&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Garis waktu mekanika klasik (halaman belum tersedia)">Garis waktu</a></li> </ul> </div></th> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> Cabang </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_benda_langit?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika benda langit">Benda langit</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Analisa_dinamika&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Analisa dinamika (halaman belum tersedia)">Dinamika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kinematika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kinematika">Kinematika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Kinetika_(fisika)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kinetika (fisika) (halaman belum tersedia)">Kinetika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_kontinuum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika kontinuum">Kontinuum</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Statika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Statika">Statika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_statistika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika statistika">Statistika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_terapan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Mekanika terapan">Terapan</a></li> </ul> </div> </div> </div></td> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> Dasar </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Asas_D%27Alembert?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Asas D'Alembert">Asas D'Alembert</a></li> <li><br><a href="https://id-m-wikipedia-org.translate.goog/wiki/Daya?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Daya">Daya mekanik</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Energi?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Energi">Energi</a> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Energi_kinetik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Newtonian_kinetic_energy" title="Energi kinetik">kinetik</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Energi_potensial?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Energi potensial">potensial</a></li> </ul></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_(fisika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya (fisika)">Gaya</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls_(fisika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Impuls (fisika)">Impuls</a></li> <li><span class="nowrap"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Inersia">Inersia</a> / <a href="https://id-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momen inersia">Momen inersia</a></span></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kecepatan">Kecepatan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kelajuan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kelajuan">Kelajuan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kerangka_acuan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kerangka acuan">Kerangka acuan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Usaha_(fisika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Usaha (fisika)">Usaha mekanik</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kerja_maya?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kerja maya">Kerja maya</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Massa?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Massa">Massa</a></li> <li><br><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Momen_(fisika)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Momen (fisika) (halaman belum tersedia)">Momen</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Momentum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momentum">Momentum</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Momentum_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momentum sudut">Momentum sudut</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Pasangan_(mekanika)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Pasangan (mekanika) (halaman belum tersedia)">Pasangan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Percepatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Percepatan">Percepatan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Ruang?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ruang">Ruang</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Torsi?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Torsi">Torsi</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Waktu?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Waktu">Waktu</a></li> </ul> </div> </div> </div></td> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> Rumus </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <ul> <li> <div style="display:inline-block; padding:0.1em 0;line-height:1.2em;"> <b><a href="https://id-m-wikipedia-org.translate.goog/wiki/Hukum_gerak_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Hukum gerak Newton">Hukum gerak Newton</a></b> </div></li> <li> <div style="display:inline-block; padding:0.1em 0;line-height:1.2em;"> <b><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Mekanika_analisis&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Mekanika analisis (halaman belum tersedia)">Mekanika analisis</a></b><br> <div style="display:inline-block; padding:0.1em 0;line-height:1.2em;"> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_Lagrangian?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika Lagrangian">Mekanika Lagrange</a><br><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mekanika_Hamiltonian?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mekanika Hamiltonian">Mekanika Hamilton</a><br><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Mekanika_Routh&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Mekanika Routh (halaman belum tersedia)">Mekanika Routh</a><br><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Persamaan_Hamilton%E2%80%93Jacobi&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Persamaan Hamilton–Jacobi (halaman belum tersedia)">Persamaan Hamilton–Jacobi</a><br><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Persamaan_gerak_Appell&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Persamaan gerak Appell (halaman belum tersedia)">Persamaan gerak Appell</a><br><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Persamaan_Udwadia%E2%80%93Kalaba&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Persamaan Udwadia–Kalaba (halaman belum tersedia)">Persamaan Udwadia–Kalaba</a> </div> </div></li> </ul> </div> </div></td> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> Topik inti </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Benda_tegar?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Benda tegar">Benda tegar</a> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Dinamika_benda_tegar?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Dinamika benda tegar">dinamika</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Persamaan_Euler_(dinamika_benda_tegar)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Persamaan Euler (dinamika benda tegar) (halaman belum tersedia)">persamaan Euler</a></li> </ul></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_gesek?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya gesek">Friksi</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_fiksi?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Gaya fiksi">Gaya fiksi</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gerak?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gerak">Gerak</a> (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Gerak_lurus?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gerak lurus">linear</a>)</li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gerak_harmonik_sederhana?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gerak harmonik sederhana">Gerak harmonik sederhana</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Getaran?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Getaran">Getaran</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Hukum_gerak_Euler?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Hukum gerak Euler"><span style="white-space: normal;">Hukum gerak Euler</span></a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Hukum_gerak_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Hukum gerak Newton">Hukum gerak Newton</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Hukum_gravitasi_universal_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Hukum gravitasi universal Newton"><span style="white-space: normal;">Hukum gravitasi universal Newton</span></a></li> <li><span class="nowrap"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kerangka_acuan_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kerangka acuan inersia">Inersia</a> / <a href="https://id-m-wikipedia-org.translate.goog/wiki/Kerangka_acuan_non-inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Kerangka acuan non-inersia">Kerangka acuan non-inersia</a></span></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan_relatif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kecepatan relatif">Kecepatan relatif</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Mekanika_gerak_partikel_planar&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Mekanika gerak partikel planar (halaman belum tersedia)">Mekanika gerak partikel planar</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Osilator_harmonis&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Osilator harmonis (halaman belum tersedia)">Osilator harmonis</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Peredaman&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Peredaman (halaman belum tersedia)">Peredaman</a> (<a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Rasio_peredaman&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Rasio peredaman (halaman belum tersedia)">rasio</a>)</li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Perpindahan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Perpindahan">Perpindahan</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Persamaan_gerak&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Persamaan gerak (halaman belum tersedia)">Persamaan gerak</a></li> </ul> </div> </div> </div></td> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Rotasi_mengelilingi_sumbu_tetap?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Rotasi mengelilingi sumbu tetap">Rotasi</a> </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gerak_melingkar?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gerak melingkar">Gerak melingkar</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Kerangka_acuan_berotasi&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kerangka acuan berotasi (halaman belum tersedia)">Kerangka acuan berotasi</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_sentripetal?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya sentripetal">Gaya sentripetal</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_sentrifugal?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya sentrifugal">Gaya sentrifugal</a> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Gaya_sentrifugal_reaktif&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Gaya sentrifugal reaktif (halaman belum tersedia)">reaktif</a></li> </ul></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Efek_coriolis?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Efek coriolis">Gaya coriolis</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Pendulum_(matematika)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Pendulum (matematika) (halaman belum tersedia)">Pendulum</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Kecepatan_tangensial" title="Kecepatan">Kecepatan tangensial</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan_putar?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Kecepatan putar">Kecepatan putar</a></li> </ul> </div> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Percepatan_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Percepatan sudut">Percepatan sudut</a> / <a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Perpindahan_sudut&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Perpindahan sudut (halaman belum tersedia)">perpindahan</a> / <a href="https://id-m-wikipedia-org.translate.goog/wiki/Frekuensi_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Frekuensi sudut">frekuensi</a> / <a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kecepatan sudut">kecepatan</a></li> </ul> </div> </div></td> </tr> <tr> <td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"> <div class="sidebar-list-title" style="background:#ddf;text-align:center;"> Ilmuwan </div> <div class="sidebar-list-content mw-collapsible-content plainlist" style="padding-top:0.35em;"> <div class="hlist" style="margin-left: 0em;"> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Galileo_Galilei?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Galileo Galilei">Galileo</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Isaac_Newton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Isaac Newton">Newton</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Johannes_Kepler?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Johannes Kepler">Kepler</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Jeremiah_Horrocks?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Jeremiah Horrocks">Horrocks</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Edmond_Halley?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Edmond Halley">Halley</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Leonhard_Euler?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Leonhard Euler">Euler</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Jean_le_Rond_d%27Alembert?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Jean le Rond d'Alembert">d'Alembert</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Alexis_Clairaut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Alexis Clairaut">Clairaut</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Joseph-Louis_Lagrange?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Joseph-Louis Lagrange">Lagrange</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Pierre-Simon_Laplace?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Pierre-Simon Laplace">Laplace</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/William_Rowan_Hamilton?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="William Rowan Hamilton">Hamilton</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Sim%C3%A9on_Denis_Poisson?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Siméon Denis Poisson">Poisson</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Daniel_Bernoulli?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Daniel Bernoulli">Daniel Bernoulli</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Johann_Bernoulli?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Johann Bernoulli">Johann Bernoulli</a></li> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Augustin-Louis_Cauchy?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Augustin-Louis Cauchy">Cauchy</a></li> </ul> </div> </div> </div></td> </tr> <tr> <td class="sidebar-navbar" style="padding-top:0.15em;"><style data-mw-deduplicate="TemplateStyles:r18590415">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}.mw-parser-output .infobox .navbar{font-size:100%}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style> <div class="navbar plainlinks hlist navbar-mini"> <ul> <li class="nv-lihat"><a 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href="https://id-m-wikipedia-org.translate.goog/wiki/Berkas:Armedforces_jeffery_tee_shot.jpg?_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/8/86/Armedforces_jeffery_tee_shot.jpg/220px-Armedforces_jeffery_tee_shot.jpg" decoding="async" width="220" height="172" 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/8/86/Armedforces_jeffery_tee_shot.jpg/330px-Armedforces_jeffery_tee_shot.jpg 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/8/86/Armedforces_jeffery_tee_shot.jpg/440px-Armedforces_jeffery_tee_shot.jpg 2x" data-file-width="800" data-file-height="627"></a> <figcaption> Pukulan <a href="https://id-m-wikipedia-org.translate.goog/wiki/Golf?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Golf">golf</a> merupakan contoh gaya yang diterapkan untuk durasi waktu yang sangat singkat. Alat pemukul golf digambarkan sebagai pemberi impuls pada bola golf. </figcaption> </figure> <p>Sebuah benda yang diberi <a href="https://id-m-wikipedia-org.translate.goog/wiki/Gaya_(fisika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Gaya (fisika)">gaya</a> akan mengalami <a href="https://id-m-wikipedia-org.translate.goog/wiki/Percepatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Percepatan">percepatan</a> atau perubahan <a href="https://id-m-wikipedia-org.translate.goog/wiki/Kecepatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kecepatan">kecepatan</a> selama gaya tersebut bekerja. Semakin lama gaya bekerja, maka semakin besar perubahan <a href="https://id-m-wikipedia-org.translate.goog/wiki/Momentum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momentum">momentum</a> yang dialami oleh benda tersebut. Definisi ini berarti bahwa suatu benda yang diberi gaya kecil secara konstan dalam waktu yang lama dapat mengalami perubahan momentum—impuls—yang besarnya sama dengan benda lain yang diberi gaya besar namun dalam waktu yang singkat.</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 J=F_{\text{rata-rata}}(t_{2}-t_{1})}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> J </mi> <mo> = </mo> <msub> <mi> F </mi> <mrow class="MJX-TeXAtom-ORD"> <mtext> rata-rata </mtext> </mrow> </msub> <mo stretchy="false"> ( </mo> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> <mo> −<!-- − --> </mo> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> <mo stretchy="false"> ) </mo> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle J=F_{\text{rata-rata}}(t_{2}-t_{1})} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c7d8fe311919d80475711b9471103436f0de6da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.138ex; height:2.843ex;" alt="{\displaystyle J=F_{\text{rata-rata}}(t_{2}-t_{1})}"></span> </dd> </dl> <p>Impuls adalah <a href="https://id-m-wikipedia-org.translate.goog/wiki/Integral?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Integral">integral</a> gaya terhadap waktu:</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 J=\int F\,\mathrm {d} t}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> J </mi> <mo> = </mo> <mo> ∫<!-- ∫ --> </mo> <mi> F </mi> <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 J=\int F\,\mathrm {d} t} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cda612e7d61100542cd99ebe346715d7eac02bda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:11.411ex; height:5.676ex;" alt="{\displaystyle J=\int F\,\mathrm {d} t}"></span> </dd> </dl> <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="id" dir="ltr"> <h2 id="mw-toc-heading">Daftar isi</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Penurunan_matematika_pada_kasus_objek_bermassa_konstan"><span class="tocnumber">1</span> <span class="toctext">Penurunan matematika pada kasus objek bermassa konstan</span></a></li> <li class="toclevel-1 tocsection-2"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Asas"><span class="tocnumber">2</span> <span class="toctext">Asas</span></a> <ul> <li class="toclevel-2 tocsection-3"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Asas_impuls-momentum"><span class="tocnumber">2.1</span> <span class="toctext">Asas impuls-momentum</span></a></li> </ul></li> <li class="toclevel-1 tocsection-4"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Lihat_pula"><span class="tocnumber">3</span> <span class="toctext">Lihat pula</span></a></li> <li class="toclevel-1 tocsection-5"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Referensi"><span class="tocnumber">4</span> <span class="toctext">Referensi</span></a></li> <li class="toclevel-1 tocsection-6"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Bibliografi"><span class="tocnumber">5</span> <span class="toctext">Bibliografi</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="Penurunan_matematika_pada_kasus_objek_bermassa_konstan">Penurunan matematika pada kasus objek bermassa konstan</h2><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Penurunan matematika pada kasus objek bermassa konstan" 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>sunting</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <p>Impuls <b>J</b> yang dihasilkan pada selang waktu <i>t</i><sub>1</sub> hingga <i>t</i><sub>2</sub> didefinisikan sebagai:</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 {J} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> J </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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \mathbf {J} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1735f6df8e8aa67d94026fd5128a104750977186" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:13.19ex; height:6.509ex;" alt="{\displaystyle \mathbf {J} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t}"> </noscript><span class="lazy-image-placeholder" style="width: 13.19ex;height: 6.509ex;vertical-align: -2.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1735f6df8e8aa67d94026fd5128a104750977186" data-alt="{\displaystyle \mathbf {J} =\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>dengan <b>F</b> adalah gaya resultan yang bekerja pada selang waktu <i>t</i><sub>1</sub> hingga <i>t</i><sub>2.</sub></p> <p>Menggunakan hukum kedua Newton, dapat diketahui hubungan antara gaya dengan momentum <b>P</b> berupa:</p> <dl> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {F} ={\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}}"><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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \mathbf {F} ={\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1738cbe14085332f1dc18499c2b47ac496cd09b4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.395ex; height:5.509ex;" alt="{\displaystyle \mathbf {F} ={\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}}"> </noscript><span class="lazy-image-placeholder" style="width: 8.395ex;height: 5.509ex;vertical-align: -2.005ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1738cbe14085332f1dc18499c2b47ac496cd09b4" data-alt="{\displaystyle \mathbf {F} ={\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>sehingga,</p> <dl> <dd> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}{\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}\,\mathrm {d} t\\&=\int _{\mathbf {p} _{1}}^{\mathbf {p} _{2}}\mathrm {d} \mathbf {p} \\&=\mathbf {p} _{2}-\mathbf {p} _{1}=\Delta \mathbf {p} \end{aligned}}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> J </mi> </mrow> </mtd> <mtd> <mi></mi> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mi></mi> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mi></mi> <mo> = </mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> <mo> −<!-- − --> </mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> <mo> = </mo> <mi mathvariant="normal"> Δ<!-- Δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}{\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}\,\mathrm {d} t\\&=\int _{\mathbf {p} _{1}}^{\mathbf {p} _{2}}\mathrm {d} \mathbf {p} \\&=\mathbf {p} _{2}-\mathbf {p} _{1}=\Delta \mathbf {p} \end{aligned}}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/080db4e74eb2c8bd400d43c68449f990e97a87ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -7.505ex; width:19.67ex; height:16.009ex;" alt="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}{\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}\,\mathrm {d} t\\&=\int _{\mathbf {p} _{1}}^{\mathbf {p} _{2}}\mathrm {d} \mathbf {p} \\&=\mathbf {p} _{2}-\mathbf {p} _{1}=\Delta \mathbf {p} \end{aligned}}}"> </noscript><span class="lazy-image-placeholder" style="width: 19.67ex;height: 16.009ex;vertical-align: -7.505ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/080db4e74eb2c8bd400d43c68449f990e97a87ec" data-alt="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}{\frac {\mathrm {d} \mathbf {p} }{\mathrm {d} t}}\,\mathrm {d} t\\&=\int _{\mathbf {p} _{1}}^{\mathbf {p} _{2}}\mathrm {d} \mathbf {p} \\&=\mathbf {p} _{2}-\mathbf {p} _{1}=\Delta \mathbf {p} \end{aligned}}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>dengan Δ<b>p</b> adalah perubahan momentum linear pada selang waktu <i>t</i><sub>1</sub> hingga <i>t</i><sub>2</sub>. Hubungan antara momentum dan impuls ini disebut <b>teorema impuls-momentum</b>.<sup id="cite_ref-1" class="reference"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_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> Pada kasus benda bermassa konstan, impuls dapat dinyatakan sebagai persamaan yang lebih sederhana:<span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"> <math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t\\&=\Delta \mathbf {p} \\&=m\mathbf {v_{2}} -m\mathbf {v_{1}} \end{aligned}}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> J </mi> </mrow> </mtd> <mtd> <mi></mi> <mo> = </mo> <msubsup> <mo> ∫<!-- ∫ --> </mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> t </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> F </mi> </mrow> <mspace width="thinmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> </mrow> <mi> t </mi> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mi></mi> <mo> = </mo> <mi mathvariant="normal"> Δ<!-- Δ --> </mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold"> p </mi> </mrow> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mi></mi> <mo> = </mo> <mi> m </mi> <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> −<!-- − --> </mo> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi mathvariant="bold"> v </mi> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="bold"> 1 </mn> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t\\&=\Delta \mathbf {p} \\&=m\mathbf {v_{2}} -m\mathbf {v_{1}} \end{aligned}}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/daf97d19d2def227a360a356750285b345f4aca0" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.671ex; width:17.329ex; height:12.509ex;" alt="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t\\&=\Delta \mathbf {p} \\&=m\mathbf {v_{2}} -m\mathbf {v_{1}} \end{aligned}}}"> </noscript><span class="lazy-image-placeholder" style="width: 17.329ex;height: 12.509ex;vertical-align: -5.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/daf97d19d2def227a360a356750285b345f4aca0" data-alt="{\displaystyle {\begin{aligned}\mathbf {J} &=\int _{t_{1}}^{t_{2}}\mathbf {F} \,\mathrm {d} t\\&=\Delta \mathbf {p} \\&=m\mathbf {v_{2}} -m\mathbf {v_{1}} \end{aligned}}}" data-class="mwe-math-fallback-image-display mw-invert skin-invert"> </span></span>dengan</p> <dl> <dd> <b>F</b> adalah gaya resultan yang diberikan, </dd> <dd> <i>t</i><sub>1</sub> dan <i>t</i><sub>2</sub> berturut-turut adalah waktu awal dan akhir impuls, </dd> <dd> <i>m</i> adalah massa objek, </dd> <dd> <b>v</b><sub>1</sub> adalah kelajuan awal objek, dan </dd> <dd> <b>v</b><sub>2</sub> adalah kelajuan akhir objek. </dd> </dl> </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="Asas">Asas</h2><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Asas" 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>sunting</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <div class="mw-heading mw-heading3"> <h3 id="Asas_impuls-momentum">Asas impuls-momentum</h3><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Asas impuls-momentum" 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>sunting</span> </a> </span> </div> <p><a href="https://id-m-wikipedia-org.translate.goog/wiki/Asas_impuls-momentum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Asas impuls-momentum">Asas impuls-momentum</a> merupakan suatu asas fisika yang menyatakan bahwa perubahan momentum suatu benda sama dengan impuls yang berlaku pada rentang waktu tertentu. Kegunaan dari asas ini ialah untuk menghitung gaya total yang bekerja pada suatu benda dan kaitannya dengan momentum. Asas impuls-momentum mengatasi kekurangan perhitungan menggunakan metode energi atau fungsi waktu. Kekurangan hukum kedua Newton dalam kasus-kasus tertentu juga dapat diatasi menggunakan asas ini, karena asas ini merupakan pengembangan dari hukum kedua Newton. Operasi matematika yang digunakan dalam asas impuls-momentum adalah <a href="https://id-m-wikipedia-org.translate.goog/wiki/Integral?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Integral">integral</a>. Asas ini umumnya digunakan pada perhitungan gaya yang bekerja pada benda yang mengalami <a href="https://id-m-wikipedia-org.translate.goog/wiki/Tumbukan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Tumbukan">tumbukan</a>.<sup id="cite_ref-:4_2-0" class="reference"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-:4-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></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="Lihat_pula">Lihat pula</h2><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Lihat pula" 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>sunting</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <style data-mw-deduplicate="TemplateStyles:r22254620">.mw-parser-output .portalbox{padding:0}.mw-parser-output .portalborder{border:solid #aaa 1px}.mw-parser-output .portalbox.tleft{margin:0.5em 1em 0.5em 0}.mw-parser-output .portalbox.tright{margin:0.5em 0 0.5em 1em}.mw-parser-output .portalbox>ul{display:table;box-sizing:border-box;max-width:175px;font-size:85%;line-height:110%;font-style:italic;font-weight:bold}.mw-parser-output .portalborder>ul{padding:0.1em;background:#f9f9f9}.mw-parser-output .portalbox>ul>li{display:table-row}.mw-parser-output .portalbox>ul>li>span:first-child{display:table-cell;padding:0.2em;vertical-align:middle;text-align:center}.mw-parser-output .portalbox>ul>li>span:last-child{display:table-cell;padding:0.2em 0.2em 0.2em 0.3em;vertical-align:middle}</style> <div role="navigation" aria-label="Portals" class="noprint plainlist portalbox portalborder tright"> <ul> <li><span><span class="noviewer" typeof="mw:File"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Berkas:Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/25px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png" decoding="async" width="25" height="28" class="mw-file-element" data-file-width="530" data-file-height="600"> </noscript><span class="lazy-image-placeholder" style="width: 25px;height: 28px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/25px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png" data-alt="icon" data-width="25" data-height="28" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/37px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/49px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 2x" data-class="mw-file-element"> </span></a></span></span><span><a href="https://id-m-wikipedia-org.translate.goog/wiki/Portal:Fisika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Portal:Fisika">Portal Fisika </a></span></li> </ul> </div> <ul> <li><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls_spesifik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Impuls spesifik">Impuls spesifik</a></li> </ul> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Referensi">Referensi</h2><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Referensi" 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>sunting</span> </a> </span> </div> <section class="mf-section-4 collapsible-block" id="mf-section-4"> <style data-mw-deduplicate="TemplateStyles:r18833634">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style> <div class="reflist"> <div class="mw-references-wrap"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-1">^</a></b></span> <span class="reference-text">Lihat section 9.2, halaman 257, Serway (2004).</span></li> <li id="cite_note-:4-2"><span class="mw-cite-backlink"><b><a href="https://id-m-wikipedia-org.translate.goog/wiki/Impuls?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-:4_2-0">^</a></b></span> <span class="reference-text"><cite class="citation book">Asraf, A., dan Kurniawan, B. (2021). <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://www.google.co.id/books/edition/Fisika_Dasar_untuk_Sains_dan_Teknik_Jili/n-UhEAAAQBAJ?hl%3Did%26gbpv%3D1%26dq%3Dmekanika%2BNewton%26printsec%3Dfrontcover"><i>Fisika Dasar untuk Sains dan Teknik: Jilid 1 Mekanika</i></a>. Jakarta: Bumi Aksara. hlm. 250. <a href="https://id-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Istimewa:Sumber_buku/978-602-444-954-4?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Istimewa:Sumber buku/978-602-444-954-4">978-602-444-954-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Fisika+Dasar+untuk+Sains+dan+Teknik%3A+Jilid+1+Mekanika&rft.place=Jakarta&rft.pages=250&rft.pub=Bumi+Aksara&rft.date=2021&rft.isbn=978-602-444-954-4&rft.au=Asraf%2C+A.%2C+dan+Kurniawan%2C+B.&rft_id=https%3A%2F%2Fwww.google.co.id%2Fbooks%2Fedition%2FFisika_Dasar_untuk_Sains_dan_Teknik_Jili%2Fn-UhEAAAQBAJ%3Fhl%3Did%26gbpv%3D1%26dq%3Dmekanika%2BNewton%26printsec%3Dfrontcover&rfr_id=info%3Asid%2Fid.wikipedia.org%3AImpuls" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">Parameter <code style="color:inherit; border:inherit; padding:inherit;">|url-status=</code> yang tidak diketahui akan diabaikan (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Bantuan:Galat_CS1?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#parameter_ignored" title="Bantuan:Galat CS1">bantuan</a>)</span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">Pemeliharaan CS1: Banyak nama: authors list (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Kategori:Pemeliharaan_CS1:_Banyak_nama:_authors_list?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kategori:Pemeliharaan CS1: Banyak nama: authors list">link</a>) </span></span></li> </ol> </div> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(5)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Bibliografi">Bibliografi</h2><span class="mw-editsection"> <a role="button" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=edit&section=6&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bagian: Bibliografi" 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>sunting</span> </a> </span> </div> <section class="mf-section-5 collapsible-block" id="mf-section-5"> <ul> <li><cite class="citation book">Serway, Raymond A.; Jewett, John W. (2004). <span class="plainlinks"><a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://archive.org/details/physicssciengv2p00serw"><i>Physics for Scientists and Engineers</i><span style="padding-left:0.15em"><span typeof="mw:File"><span title="Perlu mendaftar (gratis)"> <noscript> <img alt="Perlu mendaftar (gratis)" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/9px-Lock-blue-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" data-file-width="512" data-file-height="813"> </noscript><span class="lazy-image-placeholder" style="width: 9px;height: 14px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/9px-Lock-blue-alt-2.svg.png" data-alt="Perlu mendaftar (gratis)" data-width="9" data-height="14" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/14px-Lock-blue-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/18px-Lock-blue-alt-2.svg.png 2x" data-class="mw-file-element"> </span></span></span></span></a></span> (edisi ke-6). Brooks/Cole. <a href="https://id-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Istimewa:Sumber_buku/0-534-40842-7?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Istimewa:Sumber buku/0-534-40842-7">0-534-40842-7</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Physics+for+Scientists+and+Engineers&rft.edition=6&rft.pub=Brooks%2FCole&rft.date=2004&rft.isbn=0-534-40842-7&rft.au=Serway%2C+Raymond+A.&rft.au=Jewett%2C+John+W.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphysicssciengv2p00serw&rfr_id=info%3Asid%2Fid.wikipedia.org%3AImpuls" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">Parameter <code style="color:inherit; border:inherit; padding:inherit;">|url-status=</code> yang tidak diketahui akan diabaikan (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Bantuan:Galat_CS1?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#parameter_ignored" title="Bantuan:Galat CS1">bantuan</a>)</span></li> <li><cite class="citation book">Tipler, Paul (2004). <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://archive.org/details/physicsforscient0002tipl"><i>Physics for Scientists and Engineers: Mechanics, Oscillations and Waves, Thermodynamics</i></a> (edisi ke-5). W. H. Freeman. <a href="https://id-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="https://id-m-wikipedia-org.translate.goog/wiki/Istimewa:Sumber_buku/0-7167-0809-4?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Istimewa:Sumber buku/0-7167-0809-4">0-7167-0809-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Physics+for+Scientists+and+Engineers%3A+Mechanics%2C+Oscillations+and+Waves%2C+Thermodynamics&rft.edition=5&rft.pub=W.+H.+Freeman&rft.date=2004&rft.isbn=0-7167-0809-4&rft.au=Tipler%2C+Paul&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphysicsforscient0002tipl&rfr_id=info%3Asid%2Fid.wikipedia.org%3AImpuls" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">Parameter <code style="color:inherit; border:inherit; padding:inherit;">|url-status=</code> yang tidak diketahui akan diabaikan (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Bantuan:Galat_CS1?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#parameter_ignored" title="Bantuan:Galat CS1">bantuan</a>)</span></li> <li><cite class="citation book"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Mikrajuddin_Abdullah?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mikrajuddin Abdullah">Abdullah, Mikrajuddin</a> (2007). <i>Fisika 2A SMA dan MA Untuk Kelas XI Semester 1</i>. Jakarta: Esis/Erlangga. <a href="https://id-m-wikipedia-org.translate.goog/wiki/Istimewa:Sumber_buku/9747346463?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="internal mw-magiclink-isbn">ISBN 974-734-646-3</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Fisika+2A+SMA+dan+MA+Untuk+Kelas+XI+Semester+1&rft.place=Jakarta&rft.pub=Esis%2FErlangga&rft.date=2007&rft.au=Abdullah%2C+Mikrajuddin&rfr_id=info%3Asid%2Fid.wikipedia.org%3AImpuls" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">Parameter <code style="color:inherit; border:inherit; padding:inherit;">|url-status=</code> yang tidak diketahui akan diabaikan (<a href="https://id-m-wikipedia-org.translate.goog/wiki/Bantuan:Galat_CS1?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#parameter_ignored" title="Bantuan:Galat CS1">bantuan</a>)</span> <span style="font-size:0.95em; font-weight:bold; color:#777; cursor:help;" title="Bahasa Indonesia" lang="Indonesia">(Indonesia)</span></li> </ul> <div class="navbox-styles"> <style data-mw-deduplicate="TemplateStyles:r23782733">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" 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.navbar{position:absolute;top:-0.75em;right:1em;display:none}</style> <div role="note" class="metadata plainlinks asbox stub"> <table role="presentation"> <tbody> <tr class="noresize"> <td><span typeof="mw:File"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Berkas:Atom_editor_logo_black.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img alt="Ikon rintisan" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Atom_editor_logo_black.svg/30px-Atom_editor_logo_black.svg.png" decoding="async" width="30" height="27" class="mw-file-element" data-file-width="131" data-file-height="120"> </noscript><span class="lazy-image-placeholder" style="width: 30px;height: 27px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Atom_editor_logo_black.svg/30px-Atom_editor_logo_black.svg.png" data-alt="Ikon rintisan" data-width="30" data-height="27" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Atom_editor_logo_black.svg/45px-Atom_editor_logo_black.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Atom_editor_logo_black.svg/60px-Atom_editor_logo_black.svg.png 2x" data-class="mw-file-element"> </span></a></span></td> <td><p class="asbox-body">Artikel bertopik <a href="https://id-m-wikipedia-org.translate.goog/wiki/Fisika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Fisika">fisika</a> ini adalah sebuah <a href="https://id-m-wikipedia-org.translate.goog/wiki/Wikipedia:Rintisan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Wikipedia:Rintisan">rintisan</a>. Anda dapat membantu Wikipedia dengan <a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/w/index.php?title%3DImpuls%26action%3Dedit">mengembangkannya</a>.</p></td> </tr> </tbody> </table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r18590415"> <div class="navbar plainlinks hlist navbar-mini"> <ul> <li class="nv-lihat"><a href="https://id-m-wikipedia-org.translate.goog/wiki/Templat:Fisika-stub?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Templat:Fisika-stub"><abbr title="Lihat templat ini">l</abbr></a></li> <li class="nv-bicara"><a href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Pembicaraan_Templat:Fisika-stub&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Pembicaraan Templat:Fisika-stub (halaman belum tersedia)"><abbr title="Diskusikan templat ini">b</abbr></a></li> <li class="nv-sunting"><a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/w/index.php?title%3DTemplat:Fisika-stub%26action%3Dedit"><abbr title="Sunting templat ini">s</abbr></a></li> </ul> </div> </div><!-- NewPP limit report Parsed by mw‐web.codfw.main‐77bc9d5b54‐s2q7k Cached time: 20241118092226 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.414 seconds Real time usage: 0.736 seconds Preprocessor visited node count: 758/1000000 Post‐expand include size: 42150/2097152 bytes Template argument size: 995/2097152 bytes Highest expansion depth: 10/100 Expensive parser function count: 2/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 15699/5000000 bytes Lua time usage: 0.244/10.000 seconds Lua memory usage: 3560878/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 466.406 1 -total 23.01% 107.330 1 Templat:Mekanika_klasik 21.87% 101.998 1 Templat:Sidebar_with_collapsible_lists 20.17% 94.054 1 Templat:Infobox_Physical_quantity 19.10% 89.061 1 Templat:Authority_control 13.38% 62.419 1 Templat:Reflist 12.75% 59.458 1 Templat:Infobox 10.52% 49.054 4 Templat:Cite_book 9.26% 43.203 1 Templat:Kegunaanlain 5.71% 26.621 1 Templat:Portal --> <!-- Saved in parser cache with key idwiki:pcache:idhash:3097205-0!canonical and timestamp 20241118092226 and revision id 21696378. Rendering was triggered because: page-view --> </section> </div><!-- MobileFormatter took 0.014 seconds --><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --> <noscript> <img src="https://login.m.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&mobile=1" alt="" width="1" height="1" style="border: none; position: absolute;"> </noscript> <div class="printfooter" data-nosnippet=""> Diperoleh dari "<a dir="ltr" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/w/index.php?title%3DImpuls%26oldid%3D21696378">https://id.wikipedia.org/w/index.php?title=Impuls&oldid=21696378</a>" </div> </div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"><a class="last-modified-bar" href="https://id-m-wikipedia-org.translate.goog/w/index.php?title=Impuls&action=history&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="post-content last-modified-bar__content"><span class="minerva-icon minerva-icon-size-medium minerva-icon--modified-history"></span> <span class="last-modified-bar__text modified-enhancement" data-user-name="Mouse.d.jerry" data-user-gender="unknown" data-timestamp="1663935865"> <span>Terakhir diubah pada 23 September 2022, pukul 12.24</span> </span> <span class="minerva-icon minerva-icon-size-small minerva-icon--expand"></span> </div></a> <div class="post-content footer-content"> <div id="mw-data-after-content"> <div class="read-more-container"></div> </div> <div id="p-lang"> <h4>Bahasa</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ar.wikipedia.org/wiki/%25D8%25A7%25D9%2586%25D8%25AF%25D9%2581%25D8%25A7%25D8%25B9" title="اندفاع – Arab" lang="ar" hreflang="ar" data-title="اندفاع" data-language-autonym="العربية" data-language-local-name="Arab" class="interlanguage-link-target"><span>العربية</span></a></li> <li class="interlanguage-link interwiki-as mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://as.wikipedia.org/wiki/%25E0%25A6%2598%25E0%25A6%25BE%25E0%25A6%25A4%25E0%25A6%25AC%25E0%25A6%25B2" title="ঘাতবল – Assam" lang="as" hreflang="as" data-title="ঘাতবল" data-language-autonym="অসমীয়া" data-language-local-name="Assam" class="interlanguage-link-target"><span>অসমীয়া</span></a></li> <li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ast.wikipedia.org/wiki/Impulsu" title="Impulsu – Asturia" lang="ast" hreflang="ast" data-title="Impulsu" data-language-autonym="Asturianu" data-language-local-name="Asturia" class="interlanguage-link-target"><span>Asturianu</span></a></li> <li class="interlanguage-link interwiki-be mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be.wikipedia.org/wiki/%25D0%2586%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%258C%25D1%2581_%25D1%2581%25D1%2596%25D0%25BB%25D1%258B" title="Імпульс сілы – Belarusia" lang="be" hreflang="be" data-title="Імпульс сілы" data-language-autonym="Беларуская" data-language-local-name="Belarusia" class="interlanguage-link-target"><span>Беларуская</span></a></li> <li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be-tarask.wikipedia.org/wiki/%25D0%2586%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%258C%25D1%2581_%25D1%2581%25D1%2596%25D0%25BB%25D1%258B" 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bg.wikipedia.org/wiki/%25D0%2598%25D0%25BC%25D0%25BF%25D1%2583%25D0%25BB%25D1%2581_%25D0%25BD%25D0%25B0_%25D1%2581%25D0%25B8%25D0%25BB%25D0%25B0" title="Импулс на сила – Bulgaria" lang="bg" hreflang="bg" data-title="Импулс на сила" data-language-autonym="Български" data-language-local-name="Bulgaria" class="interlanguage-link-target"><span>Български</span></a></li> <li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bn.wikipedia.org/wiki/%25E0%25A6%2598%25E0%25A6%25BE%25E0%25A6%25A4_(%25E0%25A6%25AA%25E0%25A6%25A6%25E0%25A6%25BE%25E0%25A6%25B0%25E0%25A7%258D%25E0%25A6%25A5%25E0%25A6%25AC%25E0%25A6%25BF%25E0%25A6%259C%25E0%25A7%258D%25E0%25A6%259E%25E0%25A6%25BE%25E0%25A6%25A8)" title="ঘাত (পদার্থবিজ্ঞান) – Bengali" lang="bn" hreflang="bn" data-title="ঘাত (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="Bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li> <li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bs.wikipedia.org/wiki/Impuls_(fizika)" title="Impuls (fizika) – Bosnia" lang="bs" hreflang="bs" data-title="Impuls (fizika)" data-language-autonym="Bosanski" data-language-local-name="Bosnia" class="interlanguage-link-target"><span>Bosanski</span></a></li> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wikipedia.org/wiki/Impuls_(f%25C3%25ADsica)" title="Impuls (física) – Katalan" lang="ca" hreflang="ca" data-title="Impuls (física)" data-language-autonym="Català" data-language-local-name="Katalan" class="interlanguage-link-target"><span>Català</span></a></li> <li class="interlanguage-link interwiki-cs 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 – Cheska" lang="cs" hreflang="cs" data-title="Impuls síly" data-language-autonym="Čeština" data-language-local-name="Cheska" 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 – Yunani" lang="el" hreflang="el" data-title="Ώθηση" data-language-autonym="Ελληνικά" data-language-local-name="Yunani" 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) – Inggris" lang="en" hreflang="en" data-title="Impulse (physics)" data-language-autonym="English" data-language-local-name="Inggris" 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 – Spanyol" lang="es" hreflang="es" data-title="Impulso" data-language-autonym="Español" data-language-local-name="Spanyol" 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) – Basque" lang="eu" hreflang="eu" data-title="Bulkada (fisika)" data-language-autonym="Euskara" data-language-local-name="Basque" 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) – Persia" lang="fa" hreflang="fa" data-title="ضربه (فیزیک)" data-language-autonym="فارسی" data-language-local-name="Persia" 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 – Suomi" lang="fi" hreflang="fi" data-title="Impulssi" data-language-autonym="Suomi" data-language-local-name="Suomi" 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) – Prancis" lang="fr" hreflang="fr" data-title="Percussion (physique)" data-language-autonym="Français" data-language-local-name="Prancis" 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) – Galisia" lang="gl" hreflang="gl" data-title="Impulso (magnitude física)" data-language-autonym="Galego" data-language-local-name="Galisia" 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 – Ibrani" lang="he" hreflang="he" data-title="מתקף" data-language-autonym="עברית" data-language-local-name="Ibrani" 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 – Kroasia" lang="hr" hreflang="hr" data-title="Impuls sile" data-language-autonym="Hrvatski" data-language-local-name="Kroasia" 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 – Kreol Haiti" lang="ht" hreflang="ht" data-title="Enpilsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Kreol Haiti" 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 – Armenia" lang="hy" hreflang="hy" data-title="Ուժի իմպուլս" data-language-autonym="Հայերեն" data-language-local-name="Armenia" class="interlanguage-link-target"><span>Հայերեն</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) – Italia" lang="it" hreflang="it" data-title="Impulso (fisica)" data-language-autonym="Italiano" data-language-local-name="Italia" 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 – Jepang" lang="ja" hreflang="ja" data-title="力積" data-language-autonym="日本語" data-language-local-name="Jepang" 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 – Korea" lang="ko" hreflang="ko" data-title="충격량" data-language-autonym="한국어" data-language-local-name="Korea" 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) – Kurdi" lang="ku" hreflang="ku" data-title="Tehm (fizîk)" data-language-autonym="Kurdî" data-language-local-name="Kurdi" 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 – Lituavi" lang="lt" hreflang="lt" data-title="Jėgos impulsas" data-language-autonym="Lietuvių" data-language-local-name="Lituavi" 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 – Latvi" lang="lv" hreflang="lv" data-title="Spēka impulss" data-language-autonym="Latviešu" data-language-local-name="Latvi" 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 – Malayalam" lang="ml" hreflang="ml" data-title="ആവേഗം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" 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 – Mongolia" lang="mn" hreflang="mn" data-title="Импульс" data-language-autonym="Монгол" data-language-local-name="Mongolia" 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) – Melayu" lang="ms" hreflang="ms" data-title="Impuls (fizik)" data-language-autonym="Bahasa Melayu" data-language-local-name="Melayu" 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) – Belanda" lang="nl" hreflang="nl" data-title="Stoot (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="Belanda" 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 – Nynorsk Norwegia" lang="nn" hreflang="nn" data-title="Impuls i fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="Nynorsk Norwegia" 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 – Bokmål Norwegia" lang="nb" hreflang="nb" data-title="Kraftimpuls" data-language-autonym="Norsk bokmål" data-language-local-name="Bokmål Norwegia" 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) – Polski" lang="pl" hreflang="pl" data-title="Popęd (fizyka)" data-language-autonym="Polski" data-language-local-name="Polski" 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 – 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Impulso" title="Impulso – Portugis" lang="pt" hreflang="pt" data-title="Impulso" data-language-autonym="Português" data-language-local-name="Portugis" 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 – Rusia" lang="ru" hreflang="ru" data-title="Импульс силы" data-language-autonym="Русский" data-language-local-name="Rusia" 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 – Serbo-Kroasia" lang="sh" hreflang="sh" data-title="Impuls sile" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Kroasia" 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 – Slovak" lang="sk" hreflang="sk" data-title="Impulz sily" data-language-autonym="Slovenčina" data-language-local-name="Slovak" 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 – Sloven" lang="sl" hreflang="sl" data-title="Sunek sile" data-language-autonym="Slovenščina" data-language-local-name="Sloven" 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 – Albania" lang="sq" hreflang="sq" data-title="Impulsi" data-language-autonym="Shqip" data-language-local-name="Albania" 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 – Serbia" lang="sr" hreflang="sr" data-title="Impuls sile" data-language-autonym="Српски / srpski" data-language-local-name="Serbia" 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) – Tamil" lang="ta" hreflang="ta" data-title="தாக்குதல் (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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 – Turkmen" lang="tk" hreflang="tk" data-title="Impuls" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" 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) – Turki" lang="tr" hreflang="tr" data-title="İmpuls (fizik)" data-language-autonym="Türkçe" data-language-local-name="Turki" 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 – Ukraina" lang="uk" hreflang="uk" data-title="Імпульс сили" data-language-autonym="Українська" data-language-local-name="Ukraina" 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 – Vietnam" lang="vi" hreflang="vi" data-title="Xung lượng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnam" 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 – Wu Tionghoa" lang="wuu" hreflang="wuu" data-title="冲量" data-language-autonym="吴语" data-language-local-name="Wu Tionghoa" 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 – Tionghoa" lang="zh" hreflang="zh" data-title="冲量" data-language-autonym="中文" data-language-local-name="Tionghoa" 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 – Kanton" lang="yue" hreflang="yue" data-title="衝量" data-language-autonym="粵語" data-language-local-name="Kanton" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> </section> </div> <div class="minerva-footer-logo"> <img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> <li id="footer-info-lastmod">Halaman ini terakhir diubah pada 23 September 2022, pukul 12.24.</li> <li id="footer-info-copyright">Konten tersedia di bawah <a class="external" rel="nofollow" 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