{"id":214330,"date":"2025-05-14T06:07:12","date_gmt":"2025-05-14T06:07:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=214330"},"modified":"2025-05-14T06:07:14","modified_gmt":"2025-05-14T06:07:14","slug":"force-and-work-relationships-quick-check-a-car-applies-a-force-of-36-8-newtons-for-a-668-meter-loop","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/14\/force-and-work-relationships-quick-check-a-car-applies-a-force-of-36-8-newtons-for-a-668-meter-loop\/","title":{"rendered":"Force and Work Relationships Quick Check A car applies a force of 36.8 Newtons for a 668-meter loop"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Force and Work Relationships Quick Check A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? (1 point) 18.2J 24,600J 0J 705J<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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 class=\"wp-block-paragraph\">To calculate the work done, we use the formula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Work} = \\text{Force} \\times \\text{Distance} \\times \\cos(\\theta)<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Force<\/strong> is the applied force (in Newtons)<\/li>\n\n\n\n<li><strong>Distance<\/strong> is the distance over which the force is applied (in meters)<\/li>\n\n\n\n<li><strong>\u03b8 (theta)<\/strong> is the angle between the direction of the force and the direction of motion<\/li>\n\n\n\n<li><strong>Work<\/strong> is measured in joules (J)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Force = 36.8 N<\/strong><\/li>\n\n\n\n<li><strong>Distance = 668 m<\/strong><\/li>\n\n\n\n<li><strong>It&#8217;s a loop<\/strong> \u2014 the key word here is <strong>&#8220;loop&#8221;<\/strong>, which indicates that the car starts and ends at the same place.<\/li>\n\n\n\n<li><strong>\u03b8 = 90\u00b0 or undefined<\/strong> depending on direction because if it&#8217;s a complete loop, <strong>the net displacement is zero<\/strong>.<\/li>\n<\/ul>\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 Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Work is only done when there is displacement in the direction of the force.<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the object travels in a complete loop and ends up where it started, the <strong>net displacement is zero<\/strong>.<\/li>\n\n\n\n<li>Since displacement is <strong>vector-based<\/strong>, movement in a loop cancels itself out.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Therefore, even though a force is applied and a distance is traveled, if there\u2019s no net displacement in the direction of the force<\/strong>, then:<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Work} = \\text{Force} \\times \\text{Displacement} = 36.8 \\, \\text{N} \\times 0 \\, \\text{m} = 0 \\, \\text{J}<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is because the <strong>direction of displacement is crucial in determining work<\/strong>. A closed path (like a loop) has <strong>zero net displacement<\/strong>, so <strong>no net work is done<\/strong> against displacement even though energy is used in a real-world context (e.g., friction or acceleration).<\/p>\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:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>0 J<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is a common conceptual mistake in physics \u2014 people often confuse distance with displacement. In the context of <strong>work<\/strong>, <strong>only displacement in the direction of the force matters<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Force and Work Relationships Quick Check A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? (1 point) 18.2J 24,600J 0J 705J The Correct Answer And Explanation is: To calculate the work done, we use the formula: $$\\text{Work} = \\text{Force} \\times \\text{Distance} \\times \\cos(\\theta)$$ Where: Given: Step-by-step Explanation: [&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-214330","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214330","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=214330"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214330\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=214330"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=214330"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=214330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}