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cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Conservation of energy</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 102 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-102" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">102 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Behoud_van_energie" title="Behoud van energie – Afrikaans" lang="af" hreflang="af" data-title="Behoud van energie" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Energieerhaltungssatz" title="Energieerhaltungssatz – Alemannic" lang="gsw" hreflang="gsw" data-title="Energieerhaltungssatz" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D9%81%D8%B8_%D8%A7%D9%84%D8%B7%D8%A7%D9%82%D8%A9_(%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1)" title="حفظ الطاقة (فيزياء) – Arabic" lang="ar" hreflang="ar" data-title="حفظ الطاقة (فيزياء)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Conservaci%C3%B3n_d%27a_enerch%C3%ADa" title="Conservación d'a enerchía – Aragonese" lang="an" hreflang="an" data-title="Conservación d'a enerchía" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A7%B0_%E0%A6%B8%E0%A6%82%E0%A7%B0%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%A3%E0%A6%B6%E0%A7%80%E0%A6%B2%E0%A6%A4%E0%A6%BE" title="শক্তিৰ সংৰক্ষণশীলতা – Assamese" lang="as" hreflang="as" data-title="শক্তিৰ সংৰক্ষণশীলতা" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Caltenimientu_de_la_enerx%C3%ADa" title="Caltenimientu de la enerxía – Asturian" lang="ast" hreflang="ast" data-title="Caltenimientu de la enerxía" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Enerjinin_saxlanmas%C4%B1_qanunu" title="Enerjinin saxlanması qanunu – Azerbaijani" lang="az" hreflang="az" data-title="Enerjinin saxlanması qanunu" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%D9%86%D8%B1%DA%98%DB%8C%E2%80%8C%D9%86%DB%8C%D9%86_%D8%B3%D8%A7%D8%AE%D9%84%D8%A7%D9%86%D9%85%D8%A7%D8%B3%DB%8C_%D9%82%D8%A7%D9%86%D9%88%D9%86%D9%88" title="انرژی‌نین ساخلانماسی قانونو – South Azerbaijani" lang="azb" hreflang="azb" data-title="انرژی‌نین ساخلانماسی قانونو" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A6%B0_%E0%A6%A8%E0%A6%BF%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A6%A4%E0%A6%BE" title="শক্তির নিত্যতা – Bangla" lang="bn" hreflang="bn" data-title="শক্তির নিত্যতা" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/L%C3%AAng-li%C5%8Dng_si%C3%BA-h%C3%AAng_t%C4%93ng-lu%CC%8Dt" title="Lêng-liōng siú-hêng tēng-lu̍t – Minnan" lang="nan" hreflang="nan" data-title="Lêng-liōng siú-hêng tēng-lu̍t" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D2%BB%D0%B0%D2%A1%D0%BB%D0%B0%D0%BD%D1%8B%D1%83_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD%D1%8B" title="Энергия һаҡланыу законы – Bashkir" lang="ba" hreflang="ba" data-title="Энергия һаҡланыу законы" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B7%D0%B0%D1%85%D0%B0%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%96" title="Закон захавання энергіі – Belarusian" lang="be" hreflang="be" data-title="Закон захавання энергіі" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B7%D0%B0%D1%85%D0%B0%D0%B2%D0%B0%D0%BD%D1%8C%D0%BD%D1%8F_%D1%8D%D0%BD%D1%8D%D1%80%D0%B3%D1%96%D1%96" title="Закон захаваньня энэргіі – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Закон захаваньня энэргіі" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B7%D0%B0_%D0%B7%D0%B0%D0%BF%D0%B0%D0%B7%D0%B2%D0%B0%D0%BD%D0%B5_%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F%D1%82%D0%B0" title="Закон за запазване на енергията – Bulgarian" lang="bg" hreflang="bg" data-title="Закон за запазване на енергията" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Zakon_o%C4%8Duvanja_energije" title="Zakon očuvanja energije – Bosnian" lang="bs" hreflang="bs" data-title="Zakon očuvanja energije" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Conservaci%C3%B3_de_l%27energia" title="Conservació de l'energia – Catalan" lang="ca" hreflang="ca" data-title="Conservació de l'energia" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8_%D1%81%D1%8B%D1%85%D0%BB%D0%B0%D0%BD%D0%BD%D0%B8%D0%BD_%D1%81%D0%B0%D0%BA%D0%BA%D1%83%D0%BD%C4%95" title="Энерги сыхланнин саккунĕ – Chuvash" lang="cv" hreflang="cv" data-title="Энерги сыхланнин саккунĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Z%C3%A1kon_zachov%C3%A1n%C3%AD_energie" title="Zákon zachování energie – Czech" lang="cs" hreflang="cs" data-title="Zákon zachování energie" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cadwraeth_egni" title="Cadwraeth egni – Welsh" lang="cy" hreflang="cy" data-title="Cadwraeth egni" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Energibevarelse" title="Energibevarelse – Danish" lang="da" hreflang="da" data-title="Energibevarelse" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Energieerhaltungssatz" title="Energieerhaltungssatz – German" lang="de" hreflang="de" data-title="Energieerhaltungssatz" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Energia_j%C3%A4%C3%A4vuse_seadus" title="Energia jäävuse seadus – Estonian" lang="et" hreflang="et" data-title="Energia jäävuse seadus" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%81%CF%87%CE%AE_%CE%B4%CE%B9%CE%B1%CF%84%CE%AE%CF%81%CE%B7%CF%83%CE%B7%CF%82_%CF%84%CE%B7%CF%82_%CE%B5%CE%BD%CE%AD%CF%81%CE%B3%CE%B5%CE%B9%CE%B1%CF%82" title="Αρχή διατήρησης της ενέργειας – Greek" lang="el" hreflang="el" data-title="Αρχή διατήρησης της ενέργειας" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Conservation_of_energy" title="Conservation of energy – English" lang="en" hreflang="en" data-title="Conservation of energy" data-language-autonym="English" data-language-local-name="English" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Conservaci%C3%B3n_de_la_energ%C3%ADa" title="Conservación de la energía – Spanish" lang="es" hreflang="es" data-title="Conservación de la energía" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Principo_de_konservado_de_energio" title="Principo de konservado de energio – Esperanto" lang="eo" hreflang="eo" data-title="Principo de konservado de energio" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Energiaren_kontserbazioaren_printzipioa" title="Energiaren kontserbazioaren printzipioa – Basque" lang="eu" hreflang="eu" data-title="Energiaren kontserbazioaren printzipioa" 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://fa.wikipedia.org/wiki/%D9%BE%D8%A7%DB%8C%D8%B3%D8%AA%DA%AF%DB%8C_%D8%A7%D9%86%D8%B1%DA%98%DB%8C" title="پایستگی انرژی – Persian" lang="fa" hreflang="fa" data-title="پایستگی انرژی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Conservation_of_energy" title="Conservation of energy – Fiji Hindi" lang="hif" hreflang="hif" data-title="Conservation of energy" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Conservation_de_l%27%C3%A9nergie" title="Conservation de l'énergie – French" lang="fr" hreflang="fr" data-title="Conservation de l'énergie" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Dl%C3%AD_imchoime%C3%A1d_an_fhuinnimh" title="Dlí imchoimeád an fhuinnimh – Irish" lang="ga" hreflang="ga" data-title="Dlí imchoimeád an fhuinnimh" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Conservaci%C3%B3n_da_enerx%C3%ADa" title="Conservación da enerxía – Galician" lang="gl" hreflang="gl" data-title="Conservación da enerxía" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%97%90%EB%84%88%EC%A7%80_%EB%B3%B4%EC%A1%B4_%EB%B2%95%EC%B9%99" title="에너지 보존 법칙 – Korean" lang="ko" hreflang="ko" data-title="에너지 보존 법칙" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B7%D5%B6%D5%A5%D6%80%D5%A3%D5%AB%D5%A1%D5%B5%D5%AB_%D5%BA%D5%A1%D5%B0%D5%BA%D5%A1%D5%B6%D5%B4%D5%A1%D5%B6_%D6%85%D6%80%D5%A5%D5%B6%D6%84" title="Էներգիայի պահպանման օրենք – Armenian" lang="hy" hreflang="hy" data-title="Էներգիայի պահպանման օրենք" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE_%E0%A4%B8%E0%A4%82%E0%A4%B0%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A4%A3_%E0%A4%95%E0%A4%BE_%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%AE" title="ऊर्जा संरक्षण का नियम – Hindi" lang="hi" hreflang="hi" data-title="ऊर्जा संरक्षण का नियम" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Zakon_o%C4%8Duvanja_energije" title="Zakon očuvanja energije – Croatian" lang="hr" hreflang="hr" data-title="Zakon očuvanja energije" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kekekalan_energi" title="Kekekalan energi – Indonesian" lang="id" hreflang="id" data-title="Kekekalan energi" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Conservation_de_energia" title="Conservation de energia – Interlingua" lang="ia" hreflang="ia" data-title="Conservation de energia" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Orkuvar%C3%B0veisla" title="Orkuvarðveisla – Icelandic" lang="is" hreflang="is" data-title="Orkuvarðveisla" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Legge_di_conservazione_dell%27energia" title="Legge di conservazione dell'energia – Italian" lang="it" hreflang="it" data-title="Legge di conservazione dell'energia" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%95%D7%A7_%D7%A9%D7%99%D7%9E%D7%95%D7%A8_%D7%94%D7%90%D7%A0%D7%A8%D7%92%D7%99%D7%94" title="חוק שימור האנרגיה – Hebrew" lang="he" hreflang="he" data-title="חוק שימור האנרגיה" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B6%E0%B2%95%E0%B3%8D%E0%B2%A4%E0%B2%BF%E0%B2%AF_%E0%B2%B8%E0%B2%82%E0%B2%B0%E0%B2%95%E0%B3%8D%E0%B2%B7%E0%B2%A3%E0%B3%86" title="ಶಕ್ತಿಯ ಸಂರಕ್ಷಣೆ – Kannada" lang="kn" hreflang="kn" data-title="ಶಕ್ತಿಯ ಸಂರಕ್ಷಣೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D1%81%D0%B0%D0%BA%D1%8A%D0%BB%D0%B0%D1%83%D0%BD%D1%83_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD%D1%83" title="Энергия сакълауну закону – Karachay-Balkar" lang="krc" hreflang="krc" data-title="Энергия сакълауну закону" data-language-autonym="Къарачай-малкъар" data-language-local-name="Karachay-Balkar" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%9C%E1%83%94%E1%83%A0%E1%83%92%E1%83%98%E1%83%98%E1%83%A1_%E1%83%A8%E1%83%94%E1%83%9C%E1%83%90%E1%83%AE%E1%83%95%E1%83%98%E1%83%A1_%E1%83%99%E1%83%90%E1%83%9C%E1%83%9D%E1%83%9C%E1%83%98" title="ენერგიის შენახვის კანონი – Georgian" lang="ka" hreflang="ka" data-title="ენერგიის შენახვის კანონი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F%D0%BD%D1%8B%D2%A3_%D1%81%D0%B0%D2%9B%D1%82%D0%B0%D0%BB%D1%83_%D0%B7%D0%B0%D2%A3%D1%8B" title="Энергияның сақталу заңы – Kazakh" lang="kk" hreflang="kk" data-title="Энергияның сақталу заңы" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Hifadhi_ya_nishati" title="Hifadhi ya nishati – Swahili" lang="sw" hreflang="sw" data-title="Hifadhi ya nishati" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Lwa_kons%C3%A8vasyon_en%C3%A8ji" title="Lwa konsèvasyon enèji – Haitian Creole" lang="ht" hreflang="ht" data-title="Lwa konsèvasyon enèji" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F%D0%BD%D1%8B%D0%BD_%D1%81%D0%B0%D0%BA%D1%82%D0%B0%D0%BB%D1%83%D1%83_%D0%BC%D1%8B%D0%B9%D0%B7%D0%B0%D0%BC%D1%8B" title="Энергиянын сакталуу мыйзамы – Kyrgyz" lang="ky" hreflang="ky" data-title="Энергиянын сакталуу мыйзамы" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Conservatio_energiae" title="Conservatio energiae – Latin" lang="la" hreflang="la" data-title="Conservatio energiae" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Ener%C4%A3ijas_nez%C5%ABdam%C4%ABbas_likums" title="Enerģijas nezūdamības likums – Latvian" lang="lv" hreflang="lv" data-title="Enerģijas nezūdamības likums" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Energijos_tverm%C4%97s_d%C4%97snis" title="Energijos tvermės dėsnis – Lithuanian" lang="lt" hreflang="lt" data-title="Energijos tvermės dėsnis" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Conservazzion_de_l%27energia" title="Conservazzion de l'energia – Lombard" lang="lmo" hreflang="lmo" data-title="Conservazzion de l'energia" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Energiamegmarad%C3%A1s" title="Energiamegmaradás – Hungarian" lang="hu" hreflang="hu" data-title="Energiamegmaradás" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B7%D0%B0_%D0%B7%D0%B0%D1%87%D1%83%D0%B2%D1%83%D0%B2%D0%B0%D1%9A%D0%B5_%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0%D1%82%D0%B0" title="Закон за зачувување на енергијата – Macedonian" lang="mk" hreflang="mk" data-title="Закон за зачувување на енергијата" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%8A%E0%B5%BC%E0%B4%9C%E0%B5%8D%E0%B4%9C_%E0%B4%B8%E0%B4%82%E2%80%8C%E0%B4%B0%E0%B4%95%E0%B5%8D%E0%B4%B7%E0%B4%A3_%E0%B4%A8%E0%B4%BF%E0%B4%AF%E0%B4%AE%E0%B4%82" title="ഊർജ്ജ സം‌രക്ഷണ നിയമം – Malayalam" lang="ml" hreflang="ml" data-title="ഊർജ്ജ സം‌രക്ഷണ നിയമം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%94%E1%83%9C%E1%83%94%E1%83%A0%E1%83%92%E1%83%98%E1%83%90%E1%83%A8_%E1%83%99%E1%83%9D%E1%83%9C%E1%83%A1%E1%83%94%E1%83%A0%E1%83%95%E1%83%90%E1%83%AA%E1%83%98%E1%83%90%E1%83%A8_%E1%83%99%E1%83%90%E1%83%9C%E1%83%9D%E1%83%9C%E1%83%98" title="ენერგიაშ კონსერვაციაშ კანონი – Mingrelian" lang="xmf" hreflang="xmf" data-title="ენერგიაშ კონსერვაციაშ კანონი" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%A8%D9%82%D8%A7%D8%A1_%D8%A7%D9%84%D8%B7%D8%A7%D9%82%D9%87" title="بقاء الطاقه – Egyptian Arabic" lang="arz" hreflang="arz" data-title="بقاء الطاقه" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Keabadian_tenaga" title="Keabadian tenaga – Malay" lang="ms" hreflang="ms" data-title="Keabadian tenaga" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8_%D1%85%D0%B0%D0%B4%D0%B3%D0%B0%D0%BB%D0%B0%D0%B3%D0%B4%D0%B0%D1%85_%D1%85%D1%83%D1%83%D0%BB%D1%8C" title="Энерги хадгалагдах хууль – Mongolian" lang="mn" hreflang="mn" data-title="Энерги хадгалагдах хууль" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%85%E1%80%BD%E1%80%99%E1%80%BA%E1%80%B8%E1%80%A1%E1%80%84%E1%80%BA_%E1%80%90%E1%80%8A%E1%80%BA%E1%80%99%E1%80%BC%E1%80%B2%E1%80%99%E1%80%BE%E1%80%AF_%E1%80%94%E1%80%AD%E1%80%9A%E1%80%AC%E1%80%99" title="စွမ်းအင် တည်မြဲမှု နိယာမ – Burmese" lang="my" hreflang="my" data-title="စွမ်းအင် တည်မြဲမှု နိယာမ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wet_van_behoud_van_energie" title="Wet van behoud van energie – Dutch" lang="nl" hreflang="nl" data-title="Wet van behoud van energie" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC%E4%BF%9D%E5%AD%98%E3%81%AE%E6%B3%95%E5%89%87" title="エネルギー保存の法則 – Japanese" lang="ja" hreflang="ja" data-title="エネルギー保存の法則" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Energiprinsippet" title="Energiprinsippet – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Energiprinsippet" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Energiprinsippet" title="Energiprinsippet – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Energiprinsippet" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Conservacion_de_l%27energia" title="Conservacion de l'energia – Occitan" lang="oc" hreflang="oc" data-title="Conservacion de l'energia" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Gitaa%E2%80%99ummaa_Anniisaa" title="Gitaa’ummaa Anniisaa – Oromo" lang="om" hreflang="om" data-title="Gitaa’ummaa Anniisaa" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Energiyaning_saqlanish_va_aylanish_qonuni" title="Energiyaning saqlanish va aylanish qonuni – Uzbek" lang="uz" hreflang="uz" data-title="Energiyaning saqlanish va aylanish qonuni" 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-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%8A%E0%A8%B0%E0%A8%9C%E0%A8%BE_%E0%A8%A6%E0%A9%80_%E0%A8%B8%E0%A9%B0%E0%A8%AD%E0%A8%BE%E0%A8%B2" title="ਊਰਜਾ ਦੀ ਸੰਭਾਲ – Punjabi" lang="pa" hreflang="pa" data-title="ਊਰਜਾ ਦੀ ਸੰਭਾਲ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A7%D9%86%D8%B1%D8%AC%DB%8C_%D8%A8%DA%86%D8%AA_%D8%AF%D8%A7_%D9%82%D9%86%D9%88%D9%86" title="انرجی بچت دا قنون – Western Punjabi" lang="pnb" hreflang="pnb" data-title="انرجی بچت دا قنون" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AF_%D8%A7%D9%86%D8%B1%DA%98%DB%8D_%D9%BE%D8%A7%DB%8C%DA%9A%D8%AA" title="د انرژۍ پایښت – Pashto" lang="ps" hreflang="ps" data-title="د انرژۍ پایښت" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Prinsipi_%C3%ABd_conservassion_%C3%ABd_l%27energ%C3%ACa" title="Prinsipi ëd conservassion ëd l'energìa – Piedmontese" lang="pms" hreflang="pms" data-title="Prinsipi ëd conservassion ëd l'energìa" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Energieprinzip" title="Energieprinzip – Low German" lang="nds" hreflang="nds" data-title="Energieprinzip" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Zasada_zachowania_energii" title="Zasada zachowania energii – Polish" lang="pl" hreflang="pl" data-title="Zasada zachowania energii" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Lei_da_conserva%C3%A7%C3%A3o_da_energia" title="Lei da conservação da energia – Portuguese" lang="pt" hreflang="pt" data-title="Lei da conservação da energia" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Legea_conserv%C4%83rii_energiei" title="Legea conservării energiei – Romanian" lang="ro" hreflang="ro" data-title="Legea conservării energiei" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B2%D1%81%D0%BE%D0%BA%D0%BE%D1%87%D1%96%D0%BD%D1%8F_%D0%B5%D0%BD%D0%B5%D1%80%D2%91%D1%96%D1%97" title="Закон всокочіня енерґії – Rusyn" lang="rue" hreflang="rue" data-title="Закон всокочіня енерґії" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D1%81%D0%BE%D1%85%D1%80%D0%B0%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D0%B8" title="Закон сохранения энергии – Russian" lang="ru" hreflang="ru" data-title="Закон сохранения энергии" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Ligji_i_ruajtjes_s%C3%AB_energjis%C3%AB" title="Ligji i ruajtjes së energjisë – Albanian" lang="sq" hreflang="sq" data-title="Ligji i ruajtjes së energjisë" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%81%E0%B6%9A%E0%B7%8A%E0%B6%AD%E0%B7%92_%E0%B7%83%E0%B6%82%E0%B7%83%E0%B7%8A%E0%B6%AE%E0%B7%92%E0%B6%AD%E0%B7%92_%E0%B6%B1%E0%B7%92%E0%B6%BA%E0%B6%B8%E0%B6%BA" title="ශක්ති සංස්ථිති නියමය – Sinhala" lang="si" hreflang="si" data-title="ශක්ති සංස්ථිති නියමය" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Z%C3%A1kon_zachovania_energie" title="Zákon zachovania energie – Slovak" lang="sk" hreflang="sk" data-title="Zákon zachovania energie" 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://sl.wikipedia.org/wiki/Ohranitev_energije" title="Ohranitev energije – Slovenian" lang="sl" hreflang="sl" data-title="Ohranitev energije" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DB%8C%D8%A7%D8%B3%D8%A7%DB%8C_%D9%BE%D8%A7%D8%B1%D8%A7%D8%B3%D8%AA%D9%86%DB%8C_%D9%88%D8%B2%DB%95" title="یاسای پاراستنی وزە – Central Kurdish" lang="ckb" hreflang="ckb" data-title="یاسای پاراستنی وزە" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%BE%D1%87%D1%83%D0%B2%D0%B0%D1%9A%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B5" title="Закон очувања енергије – Serbian" lang="sr" hreflang="sr" data-title="Закон очувања енергије" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Zakon_o%C4%8Duvanja_energije" title="Zakon očuvanja energije – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Zakon očuvanja energije" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Energian_s%C3%A4ilymislaki" title="Energian säilymislaki – Finnish" lang="fi" hreflang="fi" data-title="Energian säilymislaki" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Energiprincipen" title="Energiprincipen – Swedish" lang="sv" hreflang="sv" data-title="Energiprincipen" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%86%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B2%E0%AF%8D_%E0%AE%95%E0%AE%BE%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81" title="ஆற்றல் காப்பு – Tamil" lang="ta" hreflang="ta" data-title="ஆற்றல் காப்பு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D1%81%D0%B0%D0%BA%D0%BB%D0%B0%D0%BD%D1%83_%D0%BA%D0%B0%D0%BD%D1%83%D0%BD%D1%8B" title="Энергия саклану кануны – Tatar" lang="tt" hreflang="tt" data-title="Энергия саклану кануны" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B6%E0%B0%95%E0%B1%8D%E0%B0%A4%E0%B0%BF_%E0%B0%A8%E0%B0%BF%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B0%A4%E0%B1%8D%E0%B0%B5_%E0%B0%A8%E0%B0%BF%E0%B0%AF%E0%B0%AE%E0%B0%82" title="శక్తి నిత్యత్వ నియమం – Telugu" lang="te" hreflang="te" data-title="శక్తి నిత్యత్వ నియమం" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%8E%E0%B8%97%E0%B8%A3%E0%B8%87%E0%B8%9E%E0%B8%A5%E0%B8%B1%E0%B8%87%E0%B8%87%E0%B8%B2%E0%B8%99" title="กฎทรงพลังงาน – Thai" lang="th" hreflang="th" data-title="กฎทรงพลังงาน" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Enerjinin_korunumu" title="Enerjinin korunumu – Turkish" lang="tr" hreflang="tr" data-title="Enerjinin korunumu" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tyv mw-list-item"><a href="https://tyv.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F%D0%BD%D1%8B%D2%A3_%D0%BA%D0%B0%D0%B4%D0%B0%D0%B3%D0%B0%D0%BB%D0%B0%D1%82%D1%82%D1%8B%D0%BD%D0%B0%D1%80%D1%8B%D0%BD%D1%8B%D2%A3_%D1%85%D0%BE%D0%BE%D0%B9%D0%BB%D1%83%D0%B7%D1%83" title="Энергияның кадагалаттынарының хоойлузу – Tuvinian" lang="tyv" hreflang="tyv" data-title="Энергияның кадагалаттынарының хоойлузу" data-language-autonym="Тыва дыл" data-language-local-name="Tuvinian" class="interlanguage-link-target"><span>Тыва дыл</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%B7%D0%B1%D0%B5%D1%80%D0%B5%D0%B6%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%97" title="Закон збереження енергії – Ukrainian" lang="uk" hreflang="uk" data-title="Закон збереження енергії" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%82%D8%A7%D9%86%D9%88%D9%86_%D8%A8%D9%82%D8%A7%D8%A6%DB%92_%D8%AA%D9%88%D8%A7%D9%86%D8%A7%D8%A6%DB%8C" title="قانون بقائے توانائی – Urdu" lang="ur" hreflang="ur" data-title="قانون بقائے توانائی" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Energijan_varadusen_k%C3%A4skuz" title="Energijan varadusen käskuz – Veps" lang="vep" hreflang="vep" data-title="Energijan varadusen käskuz" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/B%E1%BA%A3o_to%C3%A0n_n%C4%83ng_l%C6%B0%E1%BB%A3ng" title="Bảo toàn năng lượng – Vietnamese" lang="vi" hreflang="vi" data-title="Bảo toàn năng lượng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E8%83%BD%E9%87%8F%E5%AE%88%E6%81%86%E5%BE%8B" title="能量守恆律 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="能量守恆律" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Konserbasyon_han_enerhiya" title="Konserbasyon han enerhiya – Waray" lang="war" hreflang="war" data-title="Konserbasyon han enerhiya" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%83%BD%E9%87%8F%E5%AE%88%E6%81%92%E5%AE%9A%E5%BE%8B" title="能量守恒定律 – Wu" lang="wuu" hreflang="wuu" data-title="能量守恒定律" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A7%D7%90%D7%A0%D7%A1%D7%A2%D7%A8%D7%95%D7%95%D7%99%D7%A8%D7%95%D7%A0%D7%92_%D7%A4%D7%95%D7%9F_%D7%A2%D7%A0%D7%A2%D7%A8%D7%92%D7%99%D7%A2" title="קאנסערווירונג פון ענערגיע – Yiddish" lang="yi" hreflang="yi" data-title="קאנסערווירונג פון ענערגיע" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%83%BD%E9%87%8F%E5%AE%88%E6%81%86%E5%AE%9A%E5%BE%8B" title="能量守恆定律 – Cantonese" lang="yue" hreflang="yue" data-title="能量守恆定律" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%83%BD%E9%87%8F%E5%AE%88%E6%81%92%E5%AE%9A%E5%BE%8B" title="能量守恒定律 – Chinese" lang="zh" hreflang="zh" data-title="能量守恒定律" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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For energy resources sustainably, see: <a href="/wiki/Energy_conservation" title="Energy conservation">Energy conservation</a>.</i></dd></dl> <p>In <a href="/wiki/Physics" title="Physics">physics</a>, the <b>conservation of energy</b> is that energy can not be created or destroyed, it can only be changed from one form to another, such as when electrical energy is changed into heat energy. Formally, it says that the total amount of <a href="/wiki/Energy" title="Energy">energy</a> in an isolated system remains constant, although it may change forms, e.g. <a href="/wiki/Friction" title="Friction">friction</a> turns <a href="/wiki/Kinetic_energy" title="Kinetic energy">kinetic energy</a> into <a href="/wiki/Thermal_energy" class="mw-redirect" title="Thermal energy">thermal energy</a>. In <a href="/wiki/Thermodynamics" title="Thermodynamics">thermodynamics</a>, the <b><a href="/wiki/First_law_of_thermodynamics" title="First law of thermodynamics">first law of thermodynamics</a></b> is a statement of the conservation of energy for thermodynamic systems. </p><p>From a mathematical point of view, the energy conservation law is a consequence of the shift symmetry of <a href="/wiki/Time" title="Time">time</a>; energy conservation is a result of the empirical fact that the <a href="/wiki/Physical_law" title="Physical law">laws of physics</a> do not change with time itself. Philosophically, this can be stated as "nothing depends on time per se (time itself)". </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Historical_information">Historical information</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=1" title="Change section: Historical information" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=1" title="Edit section's source code: Historical information"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ancient <a href="/wiki/Philosopher" class="mw-redirect" title="Philosopher">philosophers</a> as far back as <a href="/wiki/Thales" title="Thales">Thales of Miletus</a> had the idea that there is some underlying substance of which everything is made. But that is not the same as our concept of "mass-energy" today (for example, Thales thought the underlying substance was water). In 1638, <a href="/wiki/Galileo" class="mw-redirect" title="Galileo">Galileo</a> published his analysis of several situations. This included the famous "interrupted pendulum". This can be described (in modernized language) as conservatively converting potential energy to kinetic energy and back again. However, Galileo did not explain the process in modern terms and had not understood the modern concept either. The <a href="/wiki/Germany" title="Germany">German</a> <a href="/wiki/Gottfried_Wilhelm_Leibniz" class="mw-redirect" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a> during 1676-1689 attempted a mathematical formulation of the kind of energy which is connected with <i>motion</i> (kinetic energy). Leibniz noticed that in many mechanical systems (of several <a href="/wiki/Mass" title="Mass">masses</a>, <i>m<sub>i</sub></i> each with <a href="/wiki/Velocity" title="Velocity">velocity</a> <i>v<sub>i</sub></i> ), </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i}m_{i}v_{i}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msubsup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i}m_{i}v_{i}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0369647e33f4ff129034584a5fa0a68e6bf7f6f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:8.764ex; height:5.509ex;" alt="{\displaystyle \sum _{i}m_{i}v_{i}^{2}}"></span></dd></dl> <p>was conserved so long as the masses did not interact. He called this quantity the <i><a href="/w/index.php?title=Vis_viva&action=edit&redlink=1" class="new" title="Vis viva (not yet started)">vis viva</a></i> or <i>living force</i> of the system. The principle represents an accurate statement of the approximate conservation of <a href="/wiki/Kinetic_energy" title="Kinetic energy">kinetic energy</a> in situations where there is no friction. </p> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Joule%27s_Apparatus_(Harper%27s_Scan).png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Joule%27s_Apparatus_%28Harper%27s_Scan%29.png/220px-Joule%27s_Apparatus_%28Harper%27s_Scan%29.png" decoding="async" width="220" height="181" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Joule%27s_Apparatus_%28Harper%27s_Scan%29.png/330px-Joule%27s_Apparatus_%28Harper%27s_Scan%29.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Joule%27s_Apparatus_%28Harper%27s_Scan%29.png/440px-Joule%27s_Apparatus_%28Harper%27s_Scan%29.png 2x" data-file-width="1684" data-file-height="1387" /></a><figcaption>Joule's apparatus for measuring the mechanical equivalent of heat. A descending weight attached to a string causes a paddle in water to rotate</figcaption></figure> <p>Meanwhile, in 1843 <a href="/wiki/James_Prescott_Joule" title="James Prescott Joule">James Prescott Joule</a> independently discovered the mechanical equivalent in a series of experiments. In the most famous, now called the "Joule apparatus", a descending weight attached to a string caused a paddle immersed in water to rotate. He showed that the gravitational <a href="/wiki/Potential_energy" title="Potential energy">potential energy</a> lost by the weight in descending was approximately equal to the thermal energy (<a href="/wiki/Heat" title="Heat">heat</a>) gained by the water by <a href="/wiki/Friction" title="Friction">friction</a> with the paddle. </p><p>Over the period 1840-1843, similar work was carried out by engineer <a href="/w/index.php?title=Ludwig_A._Colding&action=edit&redlink=1" class="new" title="Ludwig A. Colding (not yet started)">Ludwig A. Colding</a> though it was little-known outside his native <a href="/wiki/Denmark" title="Denmark">Denmark</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Proof">Proof</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=2" title="Change section: Proof" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=2" title="Edit section's source code: Proof"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>It is easy to see that </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=KE+PE}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>K</mi> <mi>E</mi> <mo>+</mo> <mi>P</mi> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=KE+PE}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6dbb28e9d8f7755e97ad36a6fb0d0ab624263f2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:15.077ex; height:2.343ex;" alt="{\displaystyle E=KE+PE}"></span> </p><p>which is also </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E={\frac {1}{2}}mv^{2}+V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>m</mi> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E={\frac {1}{2}}mv^{2}+V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8e15da3cbde33d2fbcef6007f1f6659a21313639" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.723ex; height:5.176ex;" alt="{\displaystyle E={\frac {1}{2}}mv^{2}+V}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E={\frac {1}{2}}mx'^{2}+V(x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>m</mi> <msup> <mi>x</mi> <mrow> <mo class="MJX-variant">′</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </mrow> </msup> <mo>+</mo> <mi>V</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E={\frac {1}{2}}mx'^{2}+V(x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6b4ddf98fbfedb35aaa79dee2d8fff123aeadef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:19.516ex; height:5.176ex;" alt="{\displaystyle E={\frac {1}{2}}mx'^{2}+V(x)}"></span> </p><p>Assuming that <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 x'(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x'(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/137a5197e23d156438c8b9514dfa44ab4e3a4460" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.663ex; height:3.009ex;" alt="{\displaystyle x'(t)}"></span> and that <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 x(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d54c275db3a1e620737b58e143b0818107fa5f5c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.979ex; height:2.843ex;" alt="{\displaystyle x(t)}"></span>, then </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dE}{dt}}={\frac {\partial E}{\partial x'}}{\frac {dx'}{dt}}+{\frac {\partial E}{\partial x}}{\frac {dx}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>E</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mi>E</mi> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mi>E</mi> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>x</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dE}{dt}}={\frac {\partial E}{\partial x'}}{\frac {dx'}{dt}}+{\frac {\partial E}{\partial x}}{\frac {dx}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a01c21f0cddd471e7a597783febed084d2b5e9b9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:25.313ex; height:5.676ex;" alt="{\displaystyle {\frac {dE}{dt}}={\frac {\partial E}{\partial x'}}{\frac {dx'}{dt}}+{\frac {\partial E}{\partial x}}{\frac {dx}{dt}}}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dE}{dt}}=(mx')(x'')-Fx'}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>E</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mo stretchy="false">(</mo> <mi>m</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msup> <mi>x</mi> <mo>″</mo> </msup> <mo stretchy="false">)</mo> <mo>−</mo> <mi>F</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dE}{dt}}=(mx')(x'')-Fx'}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4a17c3ac56ca05af7480344de99e9f112f156d43" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:23.662ex; height:5.509ex;" alt="{\displaystyle {\frac {dE}{dt}}=(mx')(x'')-Fx'}"></span> </p><p>(Since <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V'(x)=-F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>V</mi> <mo>′</mo> </msup> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V'(x)=-F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cb4bfd06d38d7e5ff1b1fbfa145e2b097d39ed0c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.388ex; height:3.009ex;" alt="{\displaystyle V'(x)=-F}"></span>) </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dE}{dt}}=Fx'-Fx'=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>E</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>F</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>−</mo> <mi>F</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dE}{dt}}=Fx'-Fx'=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/512becbfb71d9142ca457b60a2fd88ffd59f24f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:21.538ex; height:5.509ex;" alt="{\displaystyle {\frac {dE}{dt}}=Fx'-Fx'=0}"></span> </p><p>Therefore, energy does not vary with time. </p> <div class="mw-heading mw-heading2"><h2 id="Related_pages">Related pages</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=3" title="Change section: Related pages" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=3" title="Edit section's source code: Related pages"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Conservation_law" title="Conservation law">Conservation law</a></li> <li><a href="/wiki/Energy" title="Energy">Energy</a></li> <li><a href="/wiki/Thermodynamics" title="Thermodynamics">Thermodynamics</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Sources">Sources</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=4" title="Change section: Sources" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=4" title="Edit section's source code: Sources"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Modern_accounts">Modern accounts</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=5" title="Change section: Modern accounts" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=5" title="Edit section's source code: Modern accounts"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Goldstein, Martin, and Inge F., 1993. <i>The Refrigerator and the Universe</i>. Harvard Univ. Press. A gentle introduction.</li> <li><style data-mw-deduplicate="TemplateStyles:r9724332">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFKroemer,_Herbert;_Kittel,_Charles1980" class="citation book cs1">Kroemer, Herbert; Kittel, Charles (1980). <i>Thermal Physics (2nd ed.)</i>. W. H. Freeman Company.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Thermal+Physics+%282nd+ed.%29&rft.pub=W.+H.+Freeman+Company&rft.date=1980&rft.au=Kroemer%2C+Herbert%3B+Kittel%2C+Charles&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>)</span> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-7167-1088-9" title="Special:BookSources/0-7167-1088-9">0-7167-1088-9</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFNolan,_Peter_J.1996" class="citation book cs1">Nolan, Peter J. (1996). <i>Fundamentals of College Physics, 2nd ed</i>. William C. Brown Publishers.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Fundamentals+of+College+Physics%2C+2nd+ed.&rft.pub=William+C.+Brown+Publishers&rft.date=1996&rft.au=Nolan%2C+Peter+J.&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFOxtoby_&_Nachtrieb1996" class="citation book cs1">Oxtoby & Nachtrieb (1996). <i>Principles of Modern Chemistry, 3rd ed</i>. Saunders College Publishing.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Principles+of+Modern+Chemistry%2C+3rd+ed.&rft.pub=Saunders+College+Publishing&rft.date=1996&rft.au=Oxtoby+%26+Nachtrieb&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFPapineau,_D.2002" class="citation book cs1">Papineau, D. (2002). <a rel="nofollow" class="external text" href="https://archive.org/details/thinkingaboutcon0000papi"><i>Thinking about Consciousness</i></a>. Oxford: Oxford University Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Thinking+about+Consciousness&rft.place=Oxford&rft.pub=Oxford+University+Press&rft.date=2002&rft.au=Papineau%2C+D.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fthinkingaboutcon0000papi&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFSerway,_Raymond_A.;_Jewett,_John_W.2004" class="citation book cs1">Serway, Raymond A.; Jewett, John W. (2004). <i>Physics for Scientists and Engineers (6th ed.)</i>. Brooks/Cole.</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+%286th+ed.%29&rft.pub=Brooks%2FCole&rft.date=2004&rft.au=Serway%2C+Raymond+A.%3B+Jewett%2C+John+W.&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>)</span> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-534-40842-7" title="Special:BookSources/0-534-40842-7">0-534-40842-7</a></li> <li>Stenger, Victor J. (2000). <i>Timeless Reality</i>. Prometheus Books. Especially chpt. 12. Nontechnical.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFTipler,_Paul2004" class="citation book cs1">Tipler, Paul (2004). <a rel="nofollow" class="external text" href="https://archive.org/details/physicsforscient0002tipl"><i>Physics for Scientists and Engineers: Mechanics, Oscillations and Waves, Thermodynamics (5th ed.)</i></a>. W. H. Freeman.</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+%285th+ed.%29&rft.pub=W.+H.+Freeman&rft.date=2004&rft.au=Tipler%2C+Paul&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphysicsforscient0002tipl&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span> <a href="/wiki/Special:BookSources/0534408427" class="internal mw-magiclink-isbn">ISBN 0-534-40842-7</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFLanczos,_Cornelius1970" class="citation book cs1">Lanczos, Cornelius (1970). <i>The Variational Principles of Mechanics</i>. Toronto: University of Toronto Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Variational+Principles+of+Mechanics&rft.place=Toronto&rft.pub=University+of+Toronto+Press&rft.date=1970&rft.au=Lanczos%2C+Cornelius&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-8020-1743-6" title="Special:BookSources/0-8020-1743-6">0-8020-1743-6</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Classic_accounts">Classic accounts</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=6" title="Change section: Classic accounts" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=6" title="Edit section's source code: Classic accounts"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFColding,_L.A.1864" class="citation journal cs1">Colding, L.A. (1864). "On the history of the principle of the conservation of energy". <i>London, Edinburgh and Dublin Philosophical Magazine and Journal of Science</i>. <b>27</b> (179): 56–64. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1080%2F14786446408643620">10.1080/14786446408643620</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=London%2C+Edinburgh+and+Dublin+Philosophical+Magazine+and+Journal+of+Science&rft.atitle=On+the+history+of+the+principle+of+the+conservation+of+energy&rft.volume=27&rft.issue=179&rft.pages=56-64&rft.date=1864&rft_id=info%3Adoi%2F10.1080%2F14786446408643620&rft.au=Colding%2C+L.A.&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFMach,_E.1872" class="citation book cs1">Mach, E. (1872). <i>History and Root of the Principles of the Conservation of Energy</i>. Open Court Pub. Co., IL.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=History+and+Root+of+the+Principles+of+the+Conservation+of+Energy&rft.pub=Open+Court+Pub.+Co.%2C+IL&rft.date=1872&rft.au=Mach%2C+E.&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFPoincaré,_H.1905" class="citation book cs1">Poincaré, H. (1905). <a rel="nofollow" class="external text" href="https://archive.org/details/scienceandhypoth00poinuoft"><i>Science and Hypothesis</i></a>. Walter Scott Publishing Co. Ltd; Dover reprint, 1952.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Science+and+Hypothesis&rft.pub=Walter+Scott+Publishing+Co.+Ltd%3B+Dover+reprint%2C+1952&rft.date=1905&rft.au=Poincar%C3%A9%2C+H.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fscienceandhypoth00poinuoft&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AConservation+of+energy" class="Z3988"></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-60221-4" title="Special:BookSources/0-486-60221-4">0-486-60221-4</a> Chapter 8, "Energy and Thermo-dynamics"</li></ul> <div class="mw-heading mw-heading2"><h2 id="Other_websites">Other websites</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Conservation_of_energy&veaction=edit&section=7" title="Change section: Other websites" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Conservation_of_energy&action=edit&section=7" title="Edit section's source code: Other websites"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://35.9.69.219/home/modules/pdf_modules/m158.pdf"><small>MISN-0-158</small> <i>The First Law of Thermodynamics</i></a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20051023005506/http://35.9.69.219/home/modules/pdf_modules/m158.pdf">Archived</a> 2005-10-23 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> (PDF file) by Jerzy Borysowicz for <a rel="nofollow" class="external text" href="http://www.physnet.org">Project PHYSNET</a>.</li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://simple.wikipedia.org/w/index.php?title=Conservation_of_energy&oldid=9379243">https://simple.wikipedia.org/w/index.php?title=Conservation_of_energy&oldid=9379243</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Categories</a>: <ul><li><a href="/wiki/Category:Thermodynamics" title="Category:Thermodynamics">Thermodynamics</a></li><li><a href="/wiki/Category:Laws_of_physics" title="Category:Laws of physics">Laws of physics</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Pages_using_the_JsonConfig_extension" title="Category:Pages using the JsonConfig extension">Pages using the JsonConfig extension</a></li><li><a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">CS1 maint: multiple names: authors list</a></li><li><a href="/wiki/Category:Webarchive_template_wayback_links" title="Category:Webarchive template wayback links">Webarchive template wayback links</a></li><li><a href="/wiki/Category:Pages_using_ISBN_magic_links" title="Category:Pages using ISBN magic links">Pages using ISBN magic links</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last changed on 26 February 2024, at 01:22.</li> <li id="footer-info-copyright">Text is available under the <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike License</a> and the <a href="/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License" title="Wikipedia:Text of the GNU Free Documentation License">GFDL</a>; additional terms may apply. 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