Potentsial' energiä

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/\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ci\u003E\u003Ca href=\"/wiki/2024_%D0%B5%D0%BB#Вафатлар\" title=\"2024 ел\"\u003EХәтерТактасы\u003C/a\u003E\u003C/i\u003E\u003C/u\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%90%D0%BA%D1%8B%D0%BB%D0%BB%D1%8B_%D0%A2%D0%B0%D1%82%D0%B0%D1%80%D1%81%D1%82%D0%B0%D0%BD/%D0%95%D0%BB_%D0%BF%D1%80%D0%BE%D0%B5%D0%BA%D1%82%D1%8B\" title=\"Википедия:Акыллы Татарстан/Ел проекты\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/12px-2021TatarstanYearLogo-1.jpg\" decoding=\"async\" width=\"12\" height=\"12\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/18px-2021TatarstanYearLogo-1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/56/2021TatarstanYearLogo-1.jpg/24px-2021TatarstanYearLogo-1.jpg 2x\" data-file-width=\"1626\" data-file-height=\"1626\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%90%D0%BA%D1%8B%D0%BB%D0%BB%D1%8B_%D0%A2%D0%B0%D1%82%D0%B0%D1%80%D1%81%D1%82%D0%B0%D0%BD/%D0%95%D0%BB_%D0%BF%D1%80%D0%BE%D0%B5%D0%BA%D1%82%D1%8B\" title=\"Википедия:Акыллы Татарстан/Ел проекты\"\u003EЕлПроекты\u003C/a\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9C%D0%B0%D1%80%D0%B0%D1%84%D0%BE%D0%BD%D0%BD%D0%B0%D1%80/%D0%90%D0%B3%D1%8B%D0%BC%D0%B4%D0%B0%D0%B3%D1%8B%D0%BB%D0%B0%D1%80\" title=\"Википедия:Марафоннар/Агымдагылар\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Olympic_pictogram_Athletics.png/12px-Olympic_pictogram_Athletics.png\" decoding=\"async\" width=\"12\" height=\"12\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Olympic_pictogram_Athletics.png/18px-Olympic_pictogram_Athletics.png 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src=\"//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/20px-World_Map_%28political%29.svg.png\" decoding=\"async\" width=\"20\" height=\"10\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/30px-World_Map_%28political%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f7/World_Map_%28political%29.svg/40px-World_Map_%28political%29.svg.png 2x\" data-file-width=\"1920\" data-file-height=\"975\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ca href=\"/wiki/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%A2%D3%A9%D0%B1%D3%99%D0%BA_%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B0%D1%82%D0%BD%D0%B0%D0%BB%D1%8B%D0%B3%D1%8B\" title=\"Проект:Төбәк тематик атналыгы\"\u003EТөбәкАтналыгы\u003C/a\u003E\u003C/u\u003E\u003C/i\u003E \u003Ci\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%90%D0%B7%D0%B8%D1%8F_%D0%B0%D0%B5_2024\" title=\"Википедия:Проект:Азия ае 2024\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/20px-Wikipedia_Asian_Month_Logo.svg.png\" decoding=\"async\" width=\"20\" height=\"22\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/30px-Wikipedia_Asian_Month_Logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/40px-Wikipedia_Asian_Month_Logo.svg.png 2x\" data-file-width=\"512\" data-file-height=\"555\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cu\u003E\u003Ca href=\"/wiki/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82:%D0%90%D0%B7%D0%B8%D1%8F_%D0%B0%D0%B5_2024\" title=\"Проект:Азия ае 2024\"\u003EАзия ае 2024\u003C/a\u003E\u003C/u\u003E\u003C/i\u003E\u003C/small\u003E\n\u003C/small\u003E\u003C/div\u003E\u003Csmall\u003E\n\u003Cdiv style=\"clear: both;\"\u003E\u003C/div\u003E\n\u003C/small\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сайт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Эчтәлек" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Эчтәлек</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">переместить в боковую панель</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">яшерү</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Башы</div> </a> </li> <li id="toc-Tartılu_qırında" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tartılu_qırında"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Tartılu qırında</span> </div> </a> <ul id="toc-Tartılu_qırında-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Planeta_östendäge_potentsial'_energiä" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Planeta_östendäge_potentsial'_energiä"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Planeta östendäge potentsial' energiä</span> </div> </a> <ul id="toc-Planeta_östendäge_potentsial'_energiä-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sığılmalı_potentsial'_energiä" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sığılmalı_potentsial'_energiä"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Sığılmalı potentsial' energiä</span> </div> </a> <ul id="toc-Sığılmalı_potentsial'_energiä-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Gravitatsion_köçlär_öçen_potentsial'_energiä" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Gravitatsion_köçlär_öçen_potentsial'_energiä"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Gravitatsion köçlär öçen potentsial' energiä</span> </div> </a> <ul id="toc-Gravitatsion_köçlär_öçen_potentsial'_energiä-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elektrostatika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Elektrostatika"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Elektrostatika</span> </div> </a> <ul id="toc-Elektrostatika-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tulı_energiä" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tulı_energiä"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Tulı energiä</span> </div> </a> <ul id="toc-Tulı_energiä-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ädäbiät" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ädäbiät"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Ädäbiät</span> </div> </a> <ul id="toc-Ädäbiät-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Эчтәлек" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Отобразить/Скрыть содержание" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Отобразить/Скрыть содержание</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">Potentsial' energiä</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="Перейти к статье на другом языке. Доступно на 87 языках" > <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-87" 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">87 тел</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B7%D8%A7%D9%82%D8%A9_%D9%88%D8%B6%D8%B9" title="طاقة وضع — гарәп" lang="ar" hreflang="ar" data-title="طاقة وضع" data-language-autonym="العربية" data-language-local-name="гарәп" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4%E0%A6%BF_%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF" title="স্থিতি শক্তি — ассам" lang="as" hreflang="as" data-title="স্থিতি শক্তি" data-language-autonym="অসমীয়া" data-language-local-name="ассам" 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/Enerx%C3%ADa_potencial" title="Enerxía potencial — астурийский" lang="ast" hreflang="ast" data-title="Enerxía potencial" data-language-autonym="Asturianu" data-language-local-name="астурийский" 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/Potensial_enerji" title="Potensial enerji — әзәрбайҗан" lang="az" hreflang="az" data-title="Potensial enerji" data-language-autonym="Azərbaycanca" data-language-local-name="әзәрбайҗан" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Enerhiyang_potensyal" title="Enerhiyang potensyal — Central Bikol" lang="bcl" hreflang="bcl" data-title="Enerhiyang potensyal" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B0%D1%82%D1%8D%D0%BD%D1%86%D1%8B%D1%8F%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%8F" title="Патэнцыяльная энергія — белорус" lang="be" hreflang="be" data-title="Патэнцыяльная энергія" data-language-autonym="Беларуская" data-language-local-name="белорус" 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%9F%D0%B0%D1%82%D1%8D%D0%BD%D1%86%D1%8B%D0%B9%D0%BD%D0%B0%D1%8F_%D1%8D%D0%BD%D1%8D%D1%80%D0%B3%D1%96%D1%8F" title="Патэнцыйная энэргія — белорусский (тарашкевица)" lang="be-tarask" hreflang="be-tarask" data-title="Патэнцыйная энэргія" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="белорусский (тарашкевица)" 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%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Потенциална енергия — болгар" lang="bg" hreflang="bg" data-title="Потенциална енергия" data-language-autonym="Български" data-language-local-name="болгар" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%AD%E0%A6%AC_%E0%A6%B6%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF" title="বিভব শক্তি — бенгали" lang="bn" hreflang="bn" data-title="বিভব শক্তি" data-language-autonym="বাংলা" data-language-local-name="бенгали" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Potencijalna_energija" title="Potencijalna energija — босния" lang="bs" hreflang="bs" data-title="Potencijalna energija" data-language-autonym="Bosanski" data-language-local-name="босния" 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/Energia_potencial" title="Energia potencial — каталан" lang="ca" hreflang="ca" data-title="Energia potencial" data-language-autonym="Català" data-language-local-name="каталан" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Potenci%C3%A1ln%C3%AD_energie" title="Potenciální energie — чех" lang="cs" hreflang="cs" data-title="Potenciální energie" data-language-autonym="Čeština" data-language-local-name="чех" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%BB%D0%B0_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="Потенциалла энерги — чувашский" lang="cv" hreflang="cv" data-title="Потенциалла энерги" data-language-autonym="Чӑвашла" data-language-local-name="чувашский" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Egni_potensial" title="Egni potensial — уэльс" lang="cy" hreflang="cy" data-title="Egni potensial" data-language-autonym="Cymraeg" data-language-local-name="уэльс" 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/Potentiel_energi" title="Potentiel energi — дания" lang="da" hreflang="da" data-title="Potentiel energi" data-language-autonym="Dansk" data-language-local-name="дания" 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/Potentielle_Energie" title="Potentielle Energie — алман" lang="de" hreflang="de" data-title="Potentielle Energie" data-language-autonym="Deutsch" data-language-local-name="алман" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%85%CE%BD%CE%B1%CE%BC%CE%B9%CE%BA%CE%AE_%CE%B5%CE%BD%CE%AD%CF%81%CE%B3%CE%B5%CE%B9%CE%B1" title="Δυναμική ενέργεια — грек" lang="el" hreflang="el" data-title="Δυναμική ενέργεια" data-language-autonym="Ελληνικά" data-language-local-name="грек" 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/Potential_energy" title="Potential energy — инглиз" lang="en" hreflang="en" data-title="Potential energy" data-language-autonym="English" data-language-local-name="инглиз" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Potenciala_energio" title="Potenciala energio — эсперанто" lang="eo" hreflang="eo" data-title="Potenciala energio" data-language-autonym="Esperanto" data-language-local-name="эсперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Energ%C3%ADa_potencial" title="Energía potencial — испан" lang="es" hreflang="es" data-title="Energía potencial" data-language-autonym="Español" data-language-local-name="испан" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Potentsiaalne_energia" title="Potentsiaalne energia — эстон" lang="et" hreflang="et" data-title="Potentsiaalne energia" data-language-autonym="Eesti" data-language-local-name="эстон" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Energia_potentzial" title="Energia potentzial — баск" lang="eu" hreflang="eu" data-title="Energia potentzial" data-language-autonym="Euskara" data-language-local-name="баск" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D9%86%D8%B1%DA%98%DB%8C_%D9%BE%D8%AA%D8%A7%D9%86%D8%B3%DB%8C%D9%84" title="انرژی پتانسیل — фарсы" lang="fa" hreflang="fa" data-title="انرژی پتانسیل" data-language-autonym="فارسی" data-language-local-name="фарсы" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Potentiaalienergia" title="Potentiaalienergia — фин" lang="fi" hreflang="fi" data-title="Potentiaalienergia" data-language-autonym="Suomi" data-language-local-name="фин" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/%C3%89nergie_potentielle" title="Énergie potentielle — француз" lang="fr" hreflang="fr" data-title="Énergie potentielle" data-language-autonym="Français" data-language-local-name="француз" 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/Fuinneamh_poit%C3%A9insi%C3%BAil" title="Fuinneamh poitéinsiúil — ирланд" lang="ga" hreflang="ga" data-title="Fuinneamh poitéinsiúil" data-language-autonym="Gaeilge" data-language-local-name="ирланд" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/%C3%89nerji_potansy%C3%A8l" title="Énerji potansyèl — Guianan Creole" lang="gcr" hreflang="gcr" data-title="Énerji potansyèl" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Enerx%C3%ADa_potencial" title="Enerxía potencial — галисия" lang="gl" hreflang="gl" data-title="Enerxía potencial" data-language-autonym="Galego" data-language-local-name="галисия" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A0%D7%A8%D7%92%D7%99%D7%94_%D7%A4%D7%95%D7%98%D7%A0%D7%A6%D7%99%D7%90%D7%9C%D7%99%D7%AA" title="אנרגיה פוטנציאלית — яһүд" lang="he" hreflang="he" data-title="אנרגיה פוטנציאלית" data-language-autonym="עברית" data-language-local-name="яһүд" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BF%E0%A4%A4%E0%A4%BF%E0%A4%9C_%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE" title="स्थितिज ऊर्जा — һинд" lang="hi" hreflang="hi" data-title="स्थितिज ऊर्जा" data-language-autonym="हिन्दी" data-language-local-name="һинд" 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/Potencijalna_energija" title="Potencijalna energija — хорват" lang="hr" hreflang="hr" data-title="Potencijalna energija" data-language-autonym="Hrvatski" data-language-local-name="хорват" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/En%C3%A8ji_potansy%C3%A8l_chimik" title="Enèji potansyèl chimik — гаити креол" lang="ht" hreflang="ht" data-title="Enèji potansyèl chimik" data-language-autonym="Kreyòl ayisyen" data-language-local-name="гаити креол" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Potenci%C3%A1lis_energia" title="Potenciális energia — венгр" lang="hu" hreflang="hu" data-title="Potenciális energia" data-language-autonym="Magyar" data-language-local-name="венгр" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%B8%D5%BF%D5%A5%D5%B6%D6%81%D5%AB%D5%A1%D5%AC_%D5%A7%D5%B6%D5%A5%D6%80%D5%A3%D5%AB%D5%A1" title="Պոտենցիալ էներգիա — әрмән" lang="hy" hreflang="hy" data-title="Պոտենցիալ էներգիա" data-language-autonym="Հայերեն" data-language-local-name="әрмән" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Energi_potensial" title="Energi potensial — индонезия" lang="id" hreflang="id" data-title="Energi potensial" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезия" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/St%C3%B6%C3%B0uorka" title="Stöðuorka — исланд" lang="is" hreflang="is" data-title="Stöðuorka" data-language-autonym="Íslenska" data-language-local-name="исланд" 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/Energia_potenziale" title="Energia potenziale — итальян" lang="it" hreflang="it" data-title="Energia potenziale" data-language-autonym="Italiano" data-language-local-name="итальян" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BD%8D%E7%BD%AE%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC" title="位置エネルギー — япон" lang="ja" hreflang="ja" data-title="位置エネルギー" data-language-autonym="日本語" data-language-local-name="япон" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Potenshal_enaji" title="Potenshal enaji — Jamaican Creole English" lang="jam" hreflang="jam" data-title="Potenshal enaji" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Energi_Potensial" title="Energi Potensial — яванский" lang="jv" hreflang="jv" data-title="Energi Potensial" data-language-autonym="Jawa" data-language-local-name="яванский" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%9D%E1%83%A2%E1%83%94%E1%83%9C%E1%83%AA%E1%83%98%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%94%E1%83%9C%E1%83%94%E1%83%A0%E1%83%92%E1%83%98%E1%83%90" title="პოტენციური ენერგია — грузин" lang="ka" hreflang="ka" data-title="პოტენციური ენერგია" data-language-autonym="ქართული" data-language-local-name="грузин" 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%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Потенциалдық энергия — казакъ" lang="kk" hreflang="kk" data-title="Потенциалдық энергия" data-language-autonym="Қазақша" data-language-local-name="казакъ" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%85%E0%B2%82%E0%B2%A4%E0%B2%B8%E0%B3%8D%E0%B2%A5_%E0%B2%B6%E0%B2%95%E0%B3%8D%E0%B2%A4%E0%B2%BF" title="ಅಂತಸ್ಥ ಶಕ್ತಿ — каннада" lang="kn" hreflang="kn" data-title="ಅಂತಸ್ಥ ಶಕ್ತಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%84%EC%B9%98_%EC%97%90%EB%84%88%EC%A7%80" title="위치 에너지 — корея" lang="ko" hreflang="ko" data-title="위치 에너지" data-language-autonym="한국어" data-language-local-name="корея" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Energia_potentialis" title="Energia potentialis — латин" lang="la" hreflang="la" data-title="Energia potentialis" data-language-autonym="Latina" data-language-local-name="латин" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Potencin%C4%97_energija" title="Potencinė energija — литва" lang="lt" hreflang="lt" data-title="Potencinė energija" data-language-autonym="Lietuvių" data-language-local-name="литва" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Potenci%C4%81l%C4%81_ener%C4%A3ija" title="Potenciālā enerģija — латыш" lang="lv" hreflang="lv" data-title="Potenciālā enerģija" data-language-autonym="Latviešu" data-language-local-name="латыш" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0" title="Потенцијална енергија — македон" lang="mk" hreflang="mk" data-title="Потенцијална енергија" data-language-autonym="Македонски" data-language-local-name="македон" 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%B8%E0%B5%8D%E0%B4%A5%E0%B4%BF%E0%B4%A4%E0%B4%BF%E0%B4%95%E0%B5%8B%E0%B5%BC%E0%B4%9C%E0%B5%8D%E0%B4%9C%E0%B4%82" title="സ്ഥിതികോർജ്ജം — малаялам" lang="ml" hreflang="ml" data-title="സ്ഥിതികോർജ്ജം" data-language-autonym="മലയാളം" data-language-local-name="малаялам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="Потенциал энерги — монгол" lang="mn" hreflang="mn" data-title="Потенциал энерги" data-language-autonym="Монгол" data-language-local-name="монгол" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%9C_%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE" title="स्थितीज ऊर्जा — маратхи" lang="mr" hreflang="mr" data-title="स्थितीज ऊर्जा" data-language-autonym="मराठी" data-language-local-name="маратхи" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Tenaga_keupayaan" title="Tenaga keupayaan — малай" lang="ms" hreflang="ms" data-title="Tenaga keupayaan" data-language-autonym="Bahasa Melayu" data-language-local-name="малай" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%90%E1%80%8A%E1%80%BA%E1%80%85%E1%80%BD%E1%80%99%E1%80%BA%E1%80%B8%E1%80%A1%E1%80%84%E1%80%BA" title="အတည်စွမ်းအင် — бирма" lang="my" hreflang="my" data-title="အတည်စွမ်းအင်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="бирма" 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/Potenti%C3%ABle_energie" title="Potentiële energie — голланд" lang="nl" hreflang="nl" data-title="Potentiële energie" data-language-autonym="Nederlands" data-language-local-name="голланд" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Potensiell_energi" title="Potensiell energi — нюнорск" lang="nn" hreflang="nn" data-title="Potensiell energi" data-language-autonym="Norsk nynorsk" data-language-local-name="нюнорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Potensiell_energi" title="Potensiell energi — норвежский букмол" lang="nb" hreflang="nb" data-title="Potensiell energi" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Energia_potenciala" title="Energia potenciala — окситан" lang="oc" hreflang="oc" data-title="Energia potenciala" data-language-autonym="Occitan" data-language-local-name="окситан" 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/Anniisaa_Kuufamaa" title="Anniisaa Kuufamaa — оромо" lang="om" hreflang="om" data-title="Anniisaa Kuufamaa" data-language-autonym="Oromoo" data-language-local-name="оромо" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A9%81%E0%A8%9F%E0%A9%88%E0%A8%82%E0%A8%B8%E0%A8%BC%E0%A8%B2_%E0%A8%8A%E0%A8%B0%E0%A8%9C%E0%A8%BE" title="ਪੁਟੈਂਸ਼ਲ ਊਰਜਾ — пәнҗаби" lang="pa" hreflang="pa" data-title="ਪੁਟੈਂਸ਼ਲ ਊਰਜਾ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="пәнҗаби" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Energia_potencjalna" title="Energia potencjalna — поляк" lang="pl" hreflang="pl" data-title="Energia potencjalna" data-language-autonym="Polski" data-language-local-name="поляк" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Energ%C3%ACa_potensial" title="Energìa potensial — Piedmontese" lang="pms" hreflang="pms" data-title="Energìa potensial" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Energia_potencial" title="Energia potencial — португал" lang="pt" hreflang="pt" data-title="Energia potencial" data-language-autonym="Português" data-language-local-name="португал" 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/Energie_poten%C8%9Bial%C4%83" title="Energie potențială — румын" lang="ro" hreflang="ro" data-title="Energie potențială" data-language-autonym="Română" data-language-local-name="румын" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F" title="Потенциальная энергия — рус" lang="ru" hreflang="ru" data-title="Потенциальная энергия" data-language-autonym="Русский" data-language-local-name="рус" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Potencijalna_energija" title="Potencijalna energija — сербскохорватский" lang="sh" hreflang="sh" data-title="Potencijalna energija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сербскохорватский" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Potential_energy" title="Potential energy — Simple English" lang="en-simple" hreflang="en-simple" data-title="Potential energy" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Potenci%C3%A1lna_energia" title="Potenciálna energia — словак" lang="sk" hreflang="sk" data-title="Potenciálna energia" data-language-autonym="Slovenčina" data-language-local-name="словак" 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/Potencialna_energija" title="Potencialna energija — словен" lang="sl" hreflang="sl" data-title="Potencialna energija" data-language-autonym="Slovenščina" data-language-local-name="словен" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Simba_reChakunga" title="Simba reChakunga — шона" lang="sn" hreflang="sn" data-title="Simba reChakunga" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Awood_Kaydsan" title="Awood Kaydsan — сомали" lang="so" hreflang="so" data-title="Awood Kaydsan" data-language-autonym="Soomaaliga" data-language-local-name="сомали" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Energjia_potenciale" title="Energjia potenciale — албан" lang="sq" hreflang="sq" data-title="Energjia potenciale" data-language-autonym="Shqip" data-language-local-name="албан" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0" title="Потенцијална енергија — серб" lang="sr" hreflang="sr" data-title="Потенцијална енергија" data-language-autonym="Српски / srpski" data-language-local-name="серб" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Potentiell_energi" title="Potentiell energi — швед" lang="sv" hreflang="sv" data-title="Potentiell energi" data-language-autonym="Svenska" data-language-local-name="швед" 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%A8%E0%AE%BF%E0%AE%B2%E0%AF%88%E0%AE%AF%E0%AE%BE%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B2%E0%AF%8D" title="நிலையாற்றல் — тамил" lang="ta" hreflang="ta" data-title="நிலையாற்றல்" data-language-autonym="தமிழ்" data-language-local-name="тамил" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B1%8D%E0%B0%A5%E0%B0%BF%E0%B0%A4%E0%B0%BF_%E0%B0%B6%E0%B0%95%E0%B1%8D%E0%B0%A4%E0%B0%BF" title="స్థితి శక్తి — телугу" lang="te" hreflang="te" data-title="స్థితి శక్తి" data-language-autonym="తెలుగు" data-language-local-name="телугу" 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%9E%E0%B8%A5%E0%B8%B1%E0%B8%87%E0%B8%87%E0%B8%B2%E0%B8%99%E0%B8%A8%E0%B8%B1%E0%B8%81%E0%B8%A2%E0%B9%8C" title="พลังงานศักย์ — тай" lang="th" hreflang="th" data-title="พลังงานศักย์" data-language-autonym="ไทย" data-language-local-name="тай" 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/Potansiyel_enerji" title="Potansiyel enerji — төрек" lang="tr" hreflang="tr" data-title="Potansiyel enerji" data-language-autonym="Türkçe" data-language-local-name="төрек" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BE%D1%82%D0%B5%D0%BD%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0_%D0%B5%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%8F" title="Потенціальна енергія — украин" lang="uk" hreflang="uk" data-title="Потенціальна енергія" data-language-autonym="Українська" data-language-local-name="украин" 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/%D8%AC%DB%81%D8%AF%DB%8C_%D8%AA%D9%88%D8%A7%D9%86%D8%A7%D8%A6%DB%8C" title="جہدی توانائی — урду" lang="ur" hreflang="ur" data-title="جہدی توانائی" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Potensial_energiya" title="Potensial energiya — үзбәк" lang="uz" hreflang="uz" data-title="Potensial energiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="үзбәк" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Th%E1%BA%BF_n%C4%83ng" title="Thế năng — вьетнам" lang="vi" hreflang="vi" data-title="Thế năng" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнам" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Enerhiya_potensyal" title="Enerhiya potensyal — варай" lang="war" hreflang="war" data-title="Enerhiya potensyal" data-language-autonym="Winaray" data-language-local-name="варай" 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/%E5%8A%BF%E8%83%BD" title="势能 — у" lang="wuu" hreflang="wuu" data-title="势能" data-language-autonym="吴语" data-language-local-name="у" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8A%BF%E8%83%BD" title="势能 — кытай" lang="zh" hreflang="zh" data-title="势能" data-language-autonym="中文" data-language-local-name="кытай" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%8B%A2%E8%83%BD" title="勢能 — Literary Chinese" lang="lzh" hreflang="lzh" data-title="勢能" 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-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%BD%8D%E8%83%BD" title="位能 — кантонский" lang="yue" hreflang="yue" data-title="位能" data-language-autonym="粵語" data-language-local-name="кантонский" 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dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Solar_sys.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Solar_sys.jpg/300px-Solar_sys.jpg" decoding="async" width="300" height="188" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Solar_sys.jpg/450px-Solar_sys.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Solar_sys.jpg/600px-Solar_sys.jpg 2x" data-file-width="1440" data-file-height="904" /></a><figcaption>Qoyaş tiräsendäge potentsial' gravitatsion qır</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Plasma-lamp_2.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Plasma-lamp_2.jpg/300px-Plasma-lamp_2.jpg" decoding="async" width="300" height="304" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Plasma-lamp_2.jpg/450px-Plasma-lamp_2.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/Plasma-lamp_2.jpg/600px-Plasma-lamp_2.jpg 2x" data-file-width="1589" data-file-height="1609" /></a><figcaption>Elektrostatik potentsial' energiä plazma şarında</figcaption></figure> <p><b>Potentsial' energiä</b> - skalär fizik zurlıq, konservativ köçlär qırında bulğan tulı energiä öleşe bulıp tora. Material' noqtalar urnaşu unınına bäyle häm alar küçkändä qır qılğan eşne sıyfatlıy. </p><p>Potentsial' energiä sistema elementları üzara tä'sir iteşüen taswirlıy. </p><p>Töşençä XIX ğasırda <b>Williams Renkin</b> tarafınnan kertelä. </p><p>Ülçäw berämlege - coul' (Sİ). </p><p>Normağa quyğanda Potentsial' energiä öçen nul'-däräcä saylana. </p><p>Potentsial' yäki konservativ köçlär cisemneñ başlanğıç häm azaqqı urnaşu urınnarına ğına bäyle, ä küçerü yulına bäysez bula. </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 \,W=-\Delta U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>W</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">Δ</mi> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,W=-\Delta U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67b56bb6af9e1ce117dc15642c46073a53575678" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.447ex; height:2.343ex;" alt="{\displaystyle \,W=-\Delta U}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle W=\int _{\mathbf {x} (t_{1})}^{\mathbf {x} (t_{2})}\mathbf {F} \cdot \mathrm {d} \mathbf {x} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot \mathbf {v} \,\mathrm {d} t=U(\mathbf {x} (t_{1}))-U(\mathbf {x} (t_{2})).}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</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> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> <mo>=</mo> <mi>U</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mo>−</mo> <mi>U</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W=\int _{\mathbf {x} (t_{1})}^{\mathbf {x} (t_{2})}\mathbf {F} \cdot \mathrm {d} \mathbf {x} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot \mathbf {v} \,\mathrm {d} t=U(\mathbf {x} (t_{1}))-U(\mathbf {x} (t_{2})).}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59565000cb29017fa27c6253c74d0f54adf418fa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:57.282ex; height:6.676ex;" alt="{\displaystyle W=\int _{\mathbf {x} (t_{1})}^{\mathbf {x} (t_{2})}\mathbf {F} \cdot \mathrm {d} \mathbf {x} =\int _{t_{1}}^{t_{2}}\mathbf {F} \cdot \mathbf {v} \,\mathrm {d} t=U(\mathbf {x} (t_{1}))-U(\mathbf {x} (t_{2})).}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\nabla W}=-{\nabla U}=-\left({\frac {\partial U}{\partial x}},{\frac {\partial U}{\partial y}},{\frac {\partial U}{\partial z}}\right)=\mathbf {F} ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∇</mi> <mi>W</mi> </mrow> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∇</mi> <mi>U</mi> </mrow> <mo>=</mo> <mo>−</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>x</mi> </mrow> </mfrac> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>y</mi> </mrow> </mfrac> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>z</mi> </mrow> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\nabla W}=-{\nabla U}=-\left({\frac {\partial U}{\partial x}},{\frac {\partial U}{\partial y}},{\frac {\partial U}{\partial z}}\right)=\mathbf {F} ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6eadee4df78e6e0a7163cc581adbe3e8fb31c433" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:41.017ex; height:6.176ex;" alt="{\displaystyle {\nabla W}=-{\nabla U}=-\left({\frac {\partial U}{\partial x}},{\frac {\partial U}{\partial y}},{\frac {\partial U}{\partial z}}\right)=\mathbf {F} ,}"></span></dd></dl> <p>Härber sistema iñ keçe potentsial' energiäle xalätkä omtıla. </p><p>yegärlek: </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 P(t)=-{\nabla U}\cdot \mathbf {v} =\mathbf {F} \cdot \mathbf {v} .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∇</mi> <mi>U</mi> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(t)=-{\nabla U}\cdot \mathbf {v} =\mathbf {F} \cdot \mathbf {v} .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c83c632670f20b5c035568a8d32c5eafb4d24cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.628ex; height:2.843ex;" alt="{\displaystyle P(t)=-{\nabla U}\cdot \mathbf {v} =\mathbf {F} \cdot \mathbf {v} .}"></span></dd></dl> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Tartılu_qırında"><span id="Tart.C4.B1lu_q.C4.B1r.C4.B1nda"></span>Tartılu qırında</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=1" title="«Tartılu qırında» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=1" title="Редактировать код раздела «Tartılu qırında»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ğomumi oçraqta: </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}U_{\mathrm {G} }({\vec {r}})&=-\int {\vec {F}}d{\vec {r}}=-\int m\,{\vec {g}}({\vec {r}})\cdot \mathrm {d} {\vec {r}}\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> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">G</mi> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>−</mo> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <mo>−</mo> <mo>∫</mo> <mi>m</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>g</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}U_{\mathrm {G} }({\vec {r}})&=-\int {\vec {F}}d{\vec {r}}=-\int m\,{\vec {g}}({\vec {r}})\cdot \mathrm {d} {\vec {r}}\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f38afefe74639d21131477dae9c21027b3df7a9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:37.681ex; height:5.676ex;" alt="{\displaystyle {\begin{aligned}U_{\mathrm {G} }({\vec {r}})&=-\int {\vec {F}}d{\vec {r}}=-\int m\,{\vec {g}}({\vec {r}})\cdot \mathrm {d} {\vec {r}}\end{aligned}}}"></span></dd></dl> <p>Cirneñ <a href="/wiki/Tart%C4%B1lu" class="mw-redirect" title="Tartılu">tartılu</a> qırında potentsial' energiä: </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}U_{\mathrm {G} }({\vec {r}})&=-\int _{R}^{R+h}m\,{\vec {g}}\cdot \mathrm {d} {\vec {r}}=mgh\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> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">G</mi> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> <mo>+</mo> <mi>h</mi> </mrow> </msubsup> <mi>m</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>g</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mi>g</mi> <mi>h</mi> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}U_{\mathrm {G} }({\vec {r}})&=-\int _{R}^{R+h}m\,{\vec {g}}\cdot \mathrm {d} {\vec {r}}=mgh\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8cd006b999774750deb3f8105d1f78760cce78a8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.316ex; margin-bottom: -0.189ex; width:34.134ex; height:6.176ex;" alt="{\displaystyle {\begin{aligned}U_{\mathrm {G} }({\vec {r}})&=-\int _{R}^{R+h}m\,{\vec {g}}\cdot \mathrm {d} {\vec {r}}=mgh\end{aligned}}}"></span></dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ E_{p}=mgh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mi>m</mi> <mi>g</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ E_{p}=mgh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0dc259f0dfac69aeb473e095016863a8fb4f99c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:10.949ex; height:2.843ex;" alt="{\displaystyle \ E_{p}=mgh}"></span></dd></dl> <p>biredä <b>g</b> - irekle töşü tizläneşe, h - nul' däräcä östennän bulğan bieklek </p> <div class="mw-heading mw-heading2"><h2 id="Planeta_östendäge_potentsial'_energiä"><span id="Planeta_.C3.B6stend.C3.A4ge_potentsial.27_energi.C3.A4"></span>Planeta östendäge potentsial' energiä</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=2" title="«Planeta östendäge potentsial' energiä» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=2" title="Редактировать код раздела «Planeta östendäge potentsial' energiä»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 U_{\mathrm {max} }=\int _{R}^{\infty }{\frac {GMm}{r^{2}}}\,\mathrm {d} r=GMm\int _{R}^{\infty }{\frac {1}{r^{2}}}\,\mathrm {d} r=GMm\left[-{\frac {1}{r}}\right]_{R}^{\infty }={\frac {GMm}{R}}=m\,g\,R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>r</mi> <mo>=</mo> <mi>G</mi> <mi>M</mi> <mi>m</mi> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>r</mi> <mo>=</mo> <mi>G</mi> <mi>M</mi> <mi>m</mi> <msubsup> <mrow> <mo>[</mo> <mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>r</mi> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mi>R</mi> </mfrac> </mrow> <mo>=</mo> <mi>m</mi> <mspace width="thinmathspace" /> <mi>g</mi> <mspace width="thinmathspace" /> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U_{\mathrm {max} }=\int _{R}^{\infty }{\frac {GMm}{r^{2}}}\,\mathrm {d} r=GMm\int _{R}^{\infty }{\frac {1}{r^{2}}}\,\mathrm {d} r=GMm\left[-{\frac {1}{r}}\right]_{R}^{\infty }={\frac {GMm}{R}}=m\,g\,R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61eac8bd79fe9cb16aa028fb1f28476e3aedc1c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:79.348ex; height:6.176ex;" alt="{\displaystyle U_{\mathrm {max} }=\int _{R}^{\infty }{\frac {GMm}{r^{2}}}\,\mathrm {d} r=GMm\int _{R}^{\infty }{\frac {1}{r^{2}}}\,\mathrm {d} r=GMm\left[-{\frac {1}{r}}\right]_{R}^{\infty }={\frac {GMm}{R}}=m\,g\,R}"></span></dd></dl> <p>biredä R - planeta Radiusı, M - planeta Massası </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 g={\frac {GM}{R^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> </mrow> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g={\frac {GM}{R^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4507c412ac5fd7567b4935e89cc5fcaabb53a479" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:9.32ex; height:5.676ex;" alt="{\displaystyle g={\frac {GM}{R^{2}}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Sığılmalı_potentsial'_energiä"><span id="S.C4.B1.C4.9F.C4.B1lmal.C4.B1_potentsial.27_energi.C3.A4"></span>Sığılmalı potentsial' energiä</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=3" title="«Sığılmalı potentsial' energiä» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=3" title="Редактировать код раздела «Sığılmalı potentsial' energiä»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Prujina öçen Guk qanunı: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F(x)=-kx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <mi>k</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F(x)=-kx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e1b21bc5f1baf4db31decb441ec166f0013ef9fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.327ex; height:2.843ex;" alt="{\displaystyle F(x)=-kx}"></span>,</dd></dl> <p>Şuña kürä: </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 U(x)=-\int _{0}^{x}F(x)\mathrm {d} x={1 \over 2}kx^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msubsup> <mi>F</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>k</mi> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U(x)=-\int _{0}^{x}F(x)\mathrm {d} x={1 \over 2}kx^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a534c1341d7a83309a41c2d5f05ae1c923d94edf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:30.433ex; height:5.843ex;" alt="{\displaystyle U(x)=-\int _{0}^{x}F(x)\mathrm {d} x={1 \over 2}kx^{2}}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Gravitatsion_köçlär_öçen_potentsial'_energiä"><span id="Gravitatsion_k.C3.B6.C3.A7l.C3.A4r_.C3.B6.C3.A7en_potentsial.27_energi.C3.A4"></span>Gravitatsion köçlär öçen potentsial' energiä</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=4" title="«Gravitatsion köçlär öçen potentsial' energiä» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=4" title="Редактировать код раздела «Gravitatsion köçlär öçen potentsial' energiä»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Nyuton buyınça <a href="/wiki/Gravitatsi%C3%A4" class="mw-redirect" title="Gravitatsiä">gravitatsiä</a> qanunı: </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 {GMm}{r^{3}}}\mathbf {r} ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} =-{\frac {GMm}{r^{3}}}\mathbf {r} ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e554fb7c67ee24101094221d989d4502e54f1b56" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:15.484ex; height:5.676ex;" alt="{\displaystyle \mathbf {F} =-{\frac {GMm}{r^{3}}}\mathbf {r} ,}"></span></dd></dl> <p>Şulay itep: </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 W=-\int _{\mathbf {r} (t_{1})}^{\mathbf {r} (t_{2})}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot d\mathbf {r} =-\int _{t_{1}}^{t_{2}}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot \mathbf {v} \mathrm {d} t.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>⋅</mo> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W=-\int _{\mathbf {r} (t_{1})}^{\mathbf {r} (t_{2})}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot d\mathbf {r} =-\int _{t_{1}}^{t_{2}}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot \mathbf {v} \mathrm {d} t.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b6a4d7d379e71b1dacecd6ecd7dc66ac7709510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:50.46ex; height:6.676ex;" alt="{\displaystyle W=-\int _{\mathbf {r} (t_{1})}^{\mathbf {r} (t_{2})}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot d\mathbf {r} =-\int _{t_{1}}^{t_{2}}{\frac {GMm}{r^{3}}}\mathbf {r} \cdot \mathbf {v} \mathrm {d} t.}"></span></dd></dl> <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 W=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}(r\mathbf {e} _{r})\cdot ({\dot {r}}\mathbf {e} _{r}+r{\dot {\theta }}\mathbf {e} _{t})\mathrm {d} t=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}r{\dot {r}}\mathrm {d} t={\frac {GMm}{r(t_{2})}}-{\frac {GMm}{r(t_{1})}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>m</mi> <mi>M</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>r</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>⋅</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo>˙</mo> </mover> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo>+</mo> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>θ</mi> <mo>˙</mo> </mover> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> <mo>=</mo> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>m</mi> <mi>M</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo>˙</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mi>r</mi> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mi>r</mi> <mo stretchy="false">(</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}(r\mathbf {e} _{r})\cdot ({\dot {r}}\mathbf {e} _{r}+r{\dot {\theta }}\mathbf {e} _{t})\mathrm {d} t=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}r{\dot {r}}\mathrm {d} t={\frac {GMm}{r(t_{2})}}-{\frac {GMm}{r(t_{1})}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca66d83a9b62db4298c929629411e6df38d0124b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:83.144ex; height:6.509ex;" alt="{\displaystyle W=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}(r\mathbf {e} _{r})\cdot ({\dot {r}}\mathbf {e} _{r}+r{\dot {\theta }}\mathbf {e} _{t})\mathrm {d} t=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}r{\dot {r}}\mathrm {d} t={\frac {GMm}{r(t_{2})}}-{\frac {GMm}{r(t_{1})}}.}"></span></dd></dl> <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 {\frac {\mathrm {d} }{\mathrm {d} t}}r^{-1}=-r^{-2}{\dot {r}}=-{\frac {\dot {r}}{r^{2}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mo>−</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo>˙</mo> </mover> </mrow> </mrow> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo>˙</mo> </mover> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\mathrm {d} }{\mathrm {d} t}}r^{-1}=-r^{-2}{\dot {r}}=-{\frac {\dot {r}}{r^{2}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75e285d2df4bb308fa620792d0f234e183e981bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:24.422ex; height:5.676ex;" alt="{\displaystyle {\frac {\mathrm {d} }{\mathrm {d} t}}r^{-1}=-r^{-2}{\dot {r}}=-{\frac {\dot {r}}{r^{2}}}.}"></span></dd></dl> <p>Gravitatsion potentsial: </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 U=-{\frac {GMm}{r}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mi>r</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U=-{\frac {GMm}{r}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e4ba4c6266dadc7bda4935bf42846bd225e4ed1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.481ex; height:5.343ex;" alt="{\displaystyle U=-{\frac {GMm}{r}},}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Elektrostatika">Elektrostatika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=5" title="«Elektrostatika» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=5" title="Редактировать код раздела «Elektrostatika»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>İke qorğı arasındağı elektrostatik köç: Kulon qanunı </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 {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r^{3}}}\mathbf {r} ,}"> <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> <mn>1</mn> <mrow> <mn>4</mn> <mi>π</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>Q</mi> <mi>q</mi> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} ={\frac {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r^{3}}}\mathbf {r} ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b5cb53c622d5d9edddbbba069ec0e47442e0729b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:15.742ex; height:5.843ex;" alt="{\displaystyle \mathbf {F} ={\frac {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r^{3}}}\mathbf {r} ,}"></span></dd></dl> <p>Şulay itep potentsial' energiä: </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 U({r})={\frac {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>4</mn> <mi>π</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>Q</mi> <mi>q</mi> </mrow> <mi>r</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U({r})={\frac {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95e4b9b3f36a038e27b1aed5baf794475a461320" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:17.598ex; height:5.843ex;" alt="{\displaystyle U({r})={\frac {1}{4\pi \varepsilon _{0}}}{\frac {Qq}{r}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Tulı_energiä"><span id="Tul.C4.B1_energi.C3.A4"></span>Tulı energiä</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=6" title="«Tulı energiä» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=6" title="Редактировать код раздела «Tulı energiä»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Yomıq mexanik sistemada tulı mexanik energiä saqlana: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=T+U={\text{const.}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>T</mi> <mo>+</mo> <mi>U</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>const.</mtext> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=T+U={\text{const.}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26a48057502ee7a5355d0533ee6697701ba50219" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:20.187ex; height:2.343ex;" alt="{\displaystyle E=T+U={\text{const.}}}"></span></dd></dl> <p>biredä: </p> <ul><li>U - potentsiäl energiä,</li> <li>T - <a href="/wiki/Kinetik_energi%C3%A4" title="Kinetik energiä">kinetik energiä</a></li> <li>E - mexanik energiä</li></ul> <p><a href="/wiki/Hamiltonian" class="mw-redirect" title="Hamiltonian">Hamiltonian</a> funktsiäse: </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 H=\sum _{k}p_{k}{\dot {q}}_{k}-L=T+U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>H</mi> <mo>=</mo> <munder> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </munder> <msub> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>q</mi> <mo>˙</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mo>−</mo> <mi>L</mi> <mo>=</mo> <mi>T</mi> <mo>+</mo> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H=\sum _{k}p_{k}{\dot {q}}_{k}-L=T+U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8fe3efa0be5d7b785c639918c05f9bfbf7872a54" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:27.409ex; height:5.509ex;" alt="{\displaystyle H=\sum _{k}p_{k}{\dot {q}}_{k}-L=T+U}"></span></dd></dl> <p>biredä L - <a href="/wiki/Lagranjian" title="Lagranjian">Lagranjian</a> funktsiäse, p-<a href="/wiki/Impuls" class="mw-redirect" title="Impuls">impuls</a>, q-koordinata </p> <div class="mw-heading mw-heading2"><h2 id="Ädäbiät"><span id=".C3.84d.C3.A4bi.C3.A4t"></span>Ädäbiät</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&veaction=edit&section=7" title="«Ädäbiät» исемле бүлекне үзгәртү" class="mw-editsection-visualeditor"><span>үзгәртү</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Potentsial%27_energi%C3%A4&action=edit&section=7" title="Редактировать код раздела «Ädäbiät»"><span>вики-текстны үзгәртү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Тарг С. М. Потенциальная энергия // Физическая энциклопедия / Гл. ред. А. М. Прохоров. — М.: Большая Российская энциклопедия, 1994. — Т. 4. Пойнтинга—Робертсона эффект — Стримеры. — С. 92. — 704 с. — 40 000 экз. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%87%D1%8B%D0%B3%D0%B0%D0%BD%D0%B0%D0%BA%D0%BB%D0%B0%D1%80%D1%8B/5852700878" class="internal mw-magiclink-isbn">ISBN 5-85270-087-8</a></li> <li>Ландау, Л. Д., Лифшиц, Е. М. Теоретическая физика. — Издание 5-е, стереотипное. — М.: Физматлит, 2004. — Т. I. Механика. — 224 с. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%87%D1%8B%D0%B3%D0%B0%D0%BD%D0%B0%D0%BA%D0%BB%D0%B0%D1%80%D1%8B/5922100556" class="internal mw-magiclink-isbn">ISBN 5-9221-0055-6</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Чыганак — <a dir="ltr" href="https://tt.wikipedia.org/w/index.php?title=Potentsial%27_energiä&oldid=2345460">https://tt.wikipedia.org/w/index.php?title=Potentsial%27_energiä&oldid=2345460</a></div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A2%D3%A9%D1%80%D0%BA%D0%B5%D0%BC%D0%BD%D3%99%D1%80" title="Махсус:Төркемнәр">Төркемнәр</a>: <ul><li><a href="/wiki/%D0%A2%D3%A9%D1%80%D0%BA%D0%B5%D0%BC:%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA_%D0%B7%D1%83%D1%80%D0%BB%D1%8B%D0%BA%D0%BB%D0%B0%D1%80" title="Төркем:Физик зурлыклар">Физик зурлыклар</a></li><li><a href="/wiki/%D0%A2%D3%A9%D1%80%D0%BA%D0%B5%D0%BC:%D0%9C%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0" title="Төркем:Механика">Механика</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Яшерен төркем: <ul><li><a href="/wiki/%D0%A2%D3%A9%D1%80%D0%BA%D0%B5%D0%BC:%D0%A2%D1%8B%D0%BB%D1%81%D1%8B%D0%BC%D0%BB%D1%8B_ISBN_%D1%81%D1%8B%D0%BB%D1%82%D0%B0%D0%BC%D0%B0%D0%BB%D0%B0%D1%80%D1%8B%D0%BD_%D0%BA%D1%83%D0%BB%D0%BB%D0%B0%D0%BD%D1%83%D1%87%D1%8B_%D0%B1%D0%B8%D1%82%D0%BB%D3%99%D1%80" title="Төркем:Тылсымлы ISBN сылтамаларын кулланучы битләр">Тылсымлы ISBN сылтамаларын кулланучы битләр</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"> Бу бит соңгы тапкыр 3 фев 2019 көнендә 18:01 вакытында үзгәртелде.</li> <li id="footer-info-copyright">Текст <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.ru">Creative Commons Attribution-ShareAlike</a> лицензиясе буенча бирелә, аерым очракларда өстәмә шартлар булырга мөмкин. 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Potentsial' energiä — Wikipedia