{"id":2027,"date":"2020-12-18T09:44:21","date_gmt":"2020-12-18T04:14:21","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=2027"},"modified":"2020-12-18T11:39:28","modified_gmt":"2020-12-18T06:09:28","slug":"potential-energy","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/potential-energy\/","title":{"rendered":"How Do You Find The Potential Energy"},"content":{"rendered":"

What Is\u00a0<\/strong>Potential Energy<\/strong><\/h2>\n

Potential Energy:<\/strong>\u00a0Thus the energy<\/a> possessed by a body by virtue of its position or change in shape is known as potential energy. It is obvious that a body may possess energy even when it is not in motion<\/a>.<\/p>\n

Expression for Potential Energy: <\/strong><\/p>\n

    \n
  1. Gravitational potential energy is the energy of an object because of its higher position in the gravitational field.<\/li>\n
  2. Figure shows a crane lifting an object. Work is done to lift the object. The object gains an amount of energy that equals to the work done to lift it.
    \n\"How<\/li>\n
  3. The downward force is equal to the weight of the object, W = mg.<\/li>\n
  4. Therefore the force, F needed to lift the box at a uniform velocity is equal to mg.
    \nDisplacement, s = h
    \nWork done, W = F x s = mgh<\/li>\n
  5. Since the work done is transferred to the object as gravitational potential energy, the formula for gravitational potential energy, E is given by:
    \nEp\u00a0<\/sub>= mgh<\/li>\n<\/ol>\n

    Inter conversion of Potential Energy and Kinetic Energy<\/h3>\n

    Mechanical Energy of a Freely Falling Body:<\/strong>
    \nAssume, a body of mass m is at rest at a height h from the earth’s surface, as it starts falling, its velocity after travelling a distance x (point B) becomes v and its velocity on the earth’s surface is v’.
    \nMechanical energy of the body at point A:
    \nEA<\/sub>\u00a0= Kinetic energy + Potential energy
    \nEA<\/sub>\u00a0= m(0)2<\/sup> + mgh
    \nEA<\/sub>\u00a0= mgh \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2026\u2026\u2026 (i)
    \nMechanical energy of the body at point B:
    \nEB<\/sub> = \\(\\frac { 1 }{ 2 }\\) mv2<\/sup> + mg (h \u2013 x) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2026\u2026..(ii)
    \n\"Mechanical-Energy-of-a-Freely-Falling-Body\"
    \nMechanical energy of the body at point C:
    \nEC\u00a0<\/sub> = \\(\\frac { 1 }{ 2 }\\) m (v’)2<\/sup> + mg \u00d7 0
    \nEC<\/sub> = \\(\\frac { 1 }{ 2 }\\) m (v’)2<\/sup> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026\u2026..(iv)
    \nUse: EA<\/sub>\u00a0= EB<\/sub> = EC<\/sub>
    \nHence, when a body falls freely, its mechanical energy will be constant. That means, the total energy of the body during free fall, remains constant at all positions. However, the form of energy keeps on changing at all points during the motion.
    \n\"Mechanical-Energy-of-a-Freely-Falling-Body-1\"<\/p>\n

    Potential Energy<\/strong> Example Problems With Solutions<\/strong><\/h2>\n

    Example 1.\u00a0<\/strong>What will be the potential energy of a body of mass 2 kg kept at a height of 10 m ?
    \nSolution: \u00a0\u00a0<\/strong>\u00a0The potential energy is given by
    \nU = mgh
    \nHere, m = 2 kg; g = 10 m\/s2<\/sup>; h = 10 m
    \n\u2234 U = 2 \u00d7 10 \u00d7 10 = 200 J<\/p>\n

    Example 2.\u00a0<\/strong>In lifting a mass of 25 kg to a certain height 1250 J energy is utilized. Calculate to what height it has been lifted ? (Take g = 10 m\/s2<\/sup>)
    \nSolution: \u00a0\u00a0<\/strong>In lifting a mass through a height h the work done is given by
    \nU = mgh
    \nHere, U = 1250 J; g = 10 m\/s2<\/sup>; m = 25 kg
    \n\u2234 1250 = 25 \u00d7 10 \u00d7 h
    \nor h = 5 m<\/p>\n

    Example 3.<\/strong> During a physical exercise, Samad, with a mass of 75 kg, is lifted to a height of 2.1 m. Idris, with a mass of 46 kg, is lifted to a height of 3.2 m.
    \n\"How
    \nWhich of the two boys has gained more gravitational potential energy? [g = 9.8 m s-2<\/sup>]
    \nSolution:<\/strong>
    \nFor Samad;
    \nGravitational potential energy,
    \nEp\u00a0<\/sub>= 75 x 9.8 x 2.1
    \n= 1543.5 J
    \nFor Idris;
    \nGravitational potential energy,
    \nEp<\/sub>\u00a0= 46 x 9.8 x 3.2 P
    \n= 1442.6 J
    \nTherefore, Samad has gained more gravitational potential energy.<\/p>\n

    Example 4.<\/strong> A lift with its passengers has a total mass of 1350 kg. Calculate the gravitational potential energy gained by the lift by moving upwards to a height of 25 m. [g = 9.8 m s-2<\/sup>J]
    \nSolution:<\/strong>
    \nMass, m = 1350 kg; Height, h = 25 m Therefore,
    \nGravitational potential energy,
    \nEp<\/sub>\u00a0= mgh
    \n= 1350 x 9.8 x 25 = 330 750 J<\/p>\n","protected":false},"excerpt":{"rendered":"

    What Is\u00a0Potential Energy Potential Energy:\u00a0Thus the energy possessed by a body by virtue of its position or change in shape is known as potential energy. It is obvious that a body may possess energy even when it is not in motion. Expression for Potential Energy: Gravitational potential energy is the energy of an object because … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[404],"tags":[759,797,795,785,758],"yoast_head":"\nHow Do You Find The Potential Energy - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/potential-energy\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How Do You Find The Potential Energy\" \/>\n<meta property=\"og:description\" content=\"What Is\u00a0Potential Energy Potential Energy:\u00a0Thus the energy possessed by a body by virtue of its position or change in shape is known as potential energy. It is obvious that a body may possess energy even when it is not in motion. Expression for Potential Energy: Gravitational potential energy is the energy of an object because ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/potential-energy\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-12-18T04:14:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-12-18T06:09:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Veerendra\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png\",\"width\":343,\"height\":150,\"caption\":\"How Do You Find The Potential Energy\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/potential-energy\/\",\"name\":\"How Do You Find The Potential Energy - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage\"},\"datePublished\":\"2020-12-18T04:14:21+00:00\",\"dateModified\":\"2020-12-18T06:09:28+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/potential-energy\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"How Do You Find The Potential Energy\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\"},\"headline\":\"How Do You Find The Potential Energy\",\"datePublished\":\"2020-12-18T04:14:21+00:00\",\"dateModified\":\"2020-12-18T06:09:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#webpage\"},\"wordCount\":549,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png\",\"keywords\":[\"Energy\",\"Kinetic Energy to Potential Energy\",\"Potential Energy Examples\",\"Potential Energy.\",\"Work\"],\"articleSection\":[\"Physics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/potential-energy\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\",\"name\":\"Veerendra\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"caption\":\"Veerendra\"},\"url\":\"https:\/\/cbselibrary.com\/author\/veerendra\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"How Do You Find The Potential Energy - CBSE Library","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cbselibrary.com\/potential-energy\/","og_locale":"en_US","og_type":"article","og_title":"How Do You Find The Potential Energy","og_description":"What Is\u00a0Potential Energy Potential Energy:\u00a0Thus the energy possessed by a body by virtue of its position or change in shape is known as potential energy. It is obvious that a body may possess energy even when it is not in motion. Expression for Potential Energy: Gravitational potential energy is the energy of an object because ... Read more","og_url":"https:\/\/cbselibrary.com\/potential-energy\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2020-12-18T04:14:21+00:00","article_modified_time":"2020-12-18T06:09:28+00:00","og_image":[{"url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png"}],"twitter_card":"summary","twitter_misc":{"Written by":"Veerendra","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png","width":343,"height":150,"caption":"How Do You Find The Potential Energy"},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/potential-energy\/#webpage","url":"https:\/\/cbselibrary.com\/potential-energy\/","name":"How Do You Find The Potential Energy - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage"},"datePublished":"2020-12-18T04:14:21+00:00","dateModified":"2020-12-18T06:09:28+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/potential-energy\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/potential-energy\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/potential-energy\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"How Do You Find The Potential Energy"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/potential-energy\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/potential-energy\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e"},"headline":"How Do You Find The Potential Energy","datePublished":"2020-12-18T04:14:21+00:00","dateModified":"2020-12-18T06:09:28+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/potential-energy\/#webpage"},"wordCount":549,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"image":{"@id":"https:\/\/cbselibrary.com\/potential-energy\/#primaryimage"},"thumbnailUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/09\/How-Do-You-Find-The-Potential-Energy.png","keywords":["Energy","Kinetic Energy to Potential Energy","Potential Energy Examples","Potential Energy.","Work"],"articleSection":["Physics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/potential-energy\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e","name":"Veerendra","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","caption":"Veerendra"},"url":"https:\/\/cbselibrary.com\/author\/veerendra\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/2027"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=2027"}],"version-history":[{"count":0,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/2027\/revisions"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=2027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=2027"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=2027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}