{"id":238975,"date":"2025-06-18T14:11:21","date_gmt":"2025-06-18T14:11:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238975"},"modified":"2025-06-18T14:11:23","modified_gmt":"2025-06-18T14:11:23","slug":"if-a-83-9kgboard-skidding-across-the-floor-with-an-initial-speed-ofcomes-to-rest-how-much-thermal-energy-in-is-produced","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/if-a-83-9kgboard-skidding-across-the-floor-with-an-initial-speed-ofcomes-to-rest-how-much-thermal-energy-in-is-produced\/","title":{"rendered":"If a 83.9Kgboard skidding across the floor with an initial speed ofcomes to rest, how much thermal energy, in, is produced"},"content":{"rendered":"\n<p><br>If a 83.9Kg<br>board skidding across the floor with an initial speed of<br>comes to rest, how much thermal energy, in<br>, is produced? Record your answer to two digits after the decimal point. No units Your Answer:<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To calculate the thermal energy produced when a board skids to a stop, we apply the <strong>principle of conservation of energy<\/strong>. The initial kinetic energy of the board is converted entirely into <strong>thermal energy<\/strong> due to friction.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<p>Let\u2019s denote:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass of the board, m=83.9m = 83.9m=83.9 kg<\/li>\n\n\n\n<li>Initial speed, vvv (value not given in your message \u2014 but let\u2019s solve symbolically and plug in any provided value afterward)<\/li>\n\n\n\n<li>Final speed, vf=0v_f = 0vf\u200b=0 (since it comes to rest)<\/li>\n<\/ul>\n\n\n\n<p>The formula for kinetic energy is:KE=12mv2KE = \\frac{1}{2} m v^2KE=21\u200bmv2<\/p>\n\n\n\n<p>Since the final kinetic energy is zero (the board stops), <strong>all<\/strong> the initial kinetic energy is converted to <strong>thermal energy<\/strong>:Thermal&nbsp;Energy=12mv2\\text{Thermal Energy} = \\frac{1}{2} m v^2Thermal&nbsp;Energy=21\u200bmv2<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>If you assume a value for the <strong>initial speed<\/strong>, say, for example, v=5.0v = 5.0v=5.0 m\/s, then:Thermal&nbsp;Energy=12\u00d783.9\u00d7(5.0)2\\text{Thermal Energy} = \\frac{1}{2} \\times 83.9 \\times (5.0)^2Thermal&nbsp;Energy=21\u200b\u00d783.9\u00d7(5.0)2Thermal&nbsp;Energy=0.5\u00d783.9\u00d725=41.95\u00d725=1048.75\\text{Thermal Energy} = 0.5 \\times 83.9 \\times 25 = 41.95 \\times 25 = 1048.75Thermal&nbsp;Energy=0.5\u00d783.9\u00d725=41.95\u00d725=1048.75<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>If the <strong>initial speed is 5.0 m\/s<\/strong>, then the thermal energy produced is:<\/p>\n\n\n\n<p><strong>1048.75<\/strong><\/p>\n\n\n\n<p>(rounded to <strong>two decimal places<\/strong>, no units as requested)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>When an object moves and then comes to a stop due to friction, its kinetic energy does not disappear \u2014 it transforms into another form of energy, usually <strong>thermal energy<\/strong>. This follows from the <strong>law of conservation of energy<\/strong>, which states that energy cannot be created or destroyed, only changed from one form to another.<\/p>\n\n\n\n<p>In this case, the moving board has kinetic energy because of its mass and velocity. As it slides and experiences friction, this kinetic energy is gradually converted into heat due to the contact between the board and the floor. The frictional force resists the motion and does work on the board, resulting in energy transfer.<\/p>\n\n\n\n<p>The mathematical representation of this transfer is:Thermal&nbsp;Energy=Initial&nbsp;Kinetic&nbsp;Energy=12mv2\\text{Thermal Energy} = \\text{Initial Kinetic Energy} = \\frac{1}{2} m v^2Thermal&nbsp;Energy=Initial&nbsp;Kinetic&nbsp;Energy=21\u200bmv2<\/p>\n\n\n\n<p>The faster the board moves or the heavier it is, the greater the amount of energy it carries and the more heat is generated when it stops. This concept is used in real-world applications such as vehicle brakes, where kinetic energy is transformed into heat by brake pads to bring a car to a stop.<\/p>\n\n\n\n<p>To get a numerical answer, you must know the board\u2019s initial speed. If not provided, you can either leave the answer in terms of vvv, or use a typical example like 5.0 m\/s to calculate a sample result.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1127.jpeg\" alt=\"\" class=\"wp-image-238976\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If a 83.9Kgboard skidding across the floor with an initial speed ofcomes to rest, how much thermal energy, in, is produced? Record your answer to two digits after the decimal point. No units Your Answer: The Correct Answer and Explanation is: To calculate the thermal energy produced when a board skids to a stop, we [&hellip;]<\/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-238975","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238975","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=238975"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238975\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}