{"id":229978,"date":"2025-06-08T17:13:06","date_gmt":"2025-06-08T17:13:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229978"},"modified":"2025-06-08T17:13:09","modified_gmt":"2025-06-08T17:13:09","slug":"ervation-of-energy-on-a-coaster-worksheet","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/ervation-of-energy-on-a-coaster-worksheet\/","title":{"rendered":"ervation of Energy on a Coaster Worksheet."},"content":{"rendered":"\n

ervation of Energy on a Coaster Worksheet.pdf ad Conservation of Energy on a Coaster Worksheet.pdf (260 KB) E=Ef if no work is done Use the coaster below to answer the questions. The coaster is released from rest at A and moves right. Assume no friction! E ?B F Mass of empty coaster is 500kg 20m 10m What location\/s has: 1) Greatest speed? 2) Zero speed? 3) Greatest kinetic energy? 4) Least kinetic energy? 5) Greatest potential energy? 6) Kinetic energy equal to potential energy? 7) Potential energy of zero? 8) **(trick question) Where is the least total energy? 9) Will the coaster make it over the second hill? [yes\/no] 10) Will the coaster stop at the top of the second hill? [yes \/ no] Explain your answers.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Answers:<\/strong><\/h3>\n\n\n\n
    \n
  1. Greatest speed?<\/strong> \u2013 Point F<\/strong><\/li>\n\n\n\n
  2. Zero speed?<\/strong> \u2013 Point A<\/strong><\/li>\n\n\n\n
  3. Greatest kinetic energy?<\/strong> \u2013 Point F<\/strong><\/li>\n\n\n\n
  4. Least kinetic energy?<\/strong> \u2013 Point A<\/strong><\/li>\n\n\n\n
  5. Greatest potential energy?<\/strong> \u2013 Point A<\/strong><\/li>\n\n\n\n
  6. Kinetic energy equal to potential energy?<\/strong> \u2013 Point B<\/strong><\/li>\n\n\n\n
  7. Potential energy of zero?<\/strong> \u2013 Point F<\/strong><\/li>\n\n\n\n
  8. Least total energy?<\/strong> \u2013 Trick question: all points have the same total energy<\/strong><\/li>\n\n\n\n
  9. Will the coaster make it over the second hill?<\/strong> \u2013 Yes<\/strong><\/li>\n\n\n\n
  10. Will the coaster stop at the top of the second hill?<\/strong> \u2013 No<\/strong><\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Explanation<\/strong><\/h3>\n\n\n\n

    This roller coaster problem is a classic application of the Law of Conservation of Mechanical Energy<\/strong>, which states that in the absence of friction or external work, total mechanical energy (E = PE + KE)<\/strong> remains constant throughout the motion.<\/p>\n\n\n\n

    At Point A<\/strong>, the coaster starts from rest, meaning its kinetic energy (KE) is zero<\/strong> and its potential energy (PE) is at maximum<\/strong>, due to the 20 m height. Since it’s the highest point, it has the greatest potential energy<\/strong> and zero speed<\/strong>.<\/p>\n\n\n\n

    As the coaster descends to Point F<\/strong>, potential energy is converted entirely into kinetic energy. Since Point F<\/strong> is the lowest (0 m height), PE = 0 and KE is at its maximum<\/strong>, meaning the greatest speed<\/strong> occurs there.<\/p>\n\n\n\n

    Point B<\/strong> is halfway (10 m), where PE and KE are equal, so that\u2019s where PE = KE<\/strong>.<\/p>\n\n\n\n

    Because there\u2019s no friction, total energy is conserved: the sum of PE and KE is always constant<\/strong>. That\u2019s why the \u201cleast total energy\u201d question is a trick\u2014total energy is the same at every point<\/strong>.<\/p>\n\n\n\n

    The second hill is 10 m high, so the coaster can easily make it over because it started from a higher point (20 m). It won\u2019t stop<\/strong> at the top because it still retains kinetic energy\u2014it’s just lower than at point F but still nonzero.<\/p>\n\n\n\n

    This illustrates how potential energy is converted into kinetic energy and vice versa, maintaining a constant total energy throughout the ride.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    ervation of Energy on a Coaster Worksheet.pdf ad Conservation of Energy on a Coaster Worksheet.pdf (260 KB) E=Ef if no work is done Use the coaster below to answer the questions. The coaster is released from rest at A and moves right. Assume no friction! E ?B F Mass of empty coaster is 500kg 20m […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-229978","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=229978"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229978\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}