{"id":230148,"date":"2025-06-09T03:46:41","date_gmt":"2025-06-09T03:46:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230148"},"modified":"2025-06-09T03:46:43","modified_gmt":"2025-06-09T03:46:43","slug":"select-the-correct-answer-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/select-the-correct-answer-2\/","title":{"rendered":"Select the correct answer"},"content":{"rendered":"\n<p>Select the correct answer. Which equation correctly relates kinetic energy, mass, and velocity? A. B. C. D.<\/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>The correct equation that relates <strong>kinetic energy (KE)<\/strong>, <strong>mass (m)<\/strong>, and <strong>velocity (v)<\/strong> is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>KE = \u00bdmv\u00b2<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer: <strong>KE = \u00bdmv\u00b2<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Explanation<\/h3>\n\n\n\n<p>Kinetic energy is the energy an object has due to its motion. The faster an object moves or the more massive it is, the more kinetic energy it possesses. The formula that expresses this relationship is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Kinetic Energy (KE) = \u00bd \u00d7 mass (m) \u00d7 velocity\u00b2 (v\u00b2)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>This formula shows that kinetic energy depends on <strong>both<\/strong> the <strong>mass of the object<\/strong> and the <strong>square of its velocity<\/strong>. This means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the mass doubles, kinetic energy also doubles.<\/li>\n\n\n\n<li>If the velocity doubles, kinetic energy increases by <strong>four times<\/strong> (because velocity is squared).<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udcd8 Where does the formula come from?<\/h4>\n\n\n\n<p>The formula is derived from work-energy principles in physics. Work is defined as a force applied over a distance. When a force accelerates an object from rest to a certain velocity, the work done on the object becomes its kinetic energy.<\/p>\n\n\n\n<p>Using Newton\u2019s second law (F = ma) and basic kinematic equations, you can derive the kinetic energy formula:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Work = Force \u00d7 distance<\/li>\n\n\n\n<li>Force = mass \u00d7 acceleration<\/li>\n\n\n\n<li>From kinematics: v2=u2+2adv^2 = u^2 + 2adv2=u2+2ad<br>(If starting from rest, u=0u = 0u=0, so v2=2adv^2 = 2adv2=2ad)<\/li>\n\n\n\n<li>Solve for distance: d=v2\/(2a)d = v^2 \/ (2a)d=v2\/(2a)<\/li>\n\n\n\n<li>Substitute into Work:<br>Work = F \u00d7 d = ma \u00d7 (v\u00b2 \/ 2a) = \u00bdmv\u00b2<\/li>\n<\/ol>\n\n\n\n<p>So, kinetic energy is the <strong>work done to bring an object to its current speed<\/strong>, and is captured in the equation:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>KE = \u00bdmv\u00b2<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>This equation is widely used in physics, engineering, and mechanics to calculate how much energy a moving object has.<\/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-banner6-162.jpeg\" alt=\"\" class=\"wp-image-230149\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Select the correct answer. Which equation correctly relates kinetic energy, mass, and velocity? A. B. C. D. The Correct Answer and Explanation is: The correct equation that relates kinetic energy (KE), mass (m), and velocity (v) is: KE = \u00bdmv\u00b2 \u2705 Correct Answer: KE = \u00bdmv\u00b2 \ud83d\udd0d Explanation Kinetic energy is the energy an object [&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-230148","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230148","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=230148"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230148\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}