{"id":153684,"date":"2024-10-13T08:15:32","date_gmt":"2024-10-13T08:15:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=153684"},"modified":"2024-10-13T08:15:34","modified_gmt":"2024-10-13T08:15:34","slug":"a-4-0-kg-object-moving-at-6-0-m-s-encounters-a-20-n-resistive-force-over-a-duration-of-0-20","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/13\/a-4-0-kg-object-moving-at-6-0-m-s-encounters-a-20-n-resistive-force-over-a-duration-of-0-20\/","title":{"rendered":"a 4.0 kg object moving at 6.0 m\/s encounters a 20 n resistive force over a duration of 0.20"},"content":{"rendered":"\n<p>a 4.0 kg object moving at 6.0 m\/s encounters a 20 n resistive force over a duration of 0.20s. the momentum change (magnitude only) experienced by this object is approximately ns.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is: <strong>4.0 kg\u00b7m\/s<\/strong><\/p>\n\n\n\n<p>To find the momentum change experienced by the object, we start by calculating the force acting on it, which is given as a resistive force of 20 N. According to Newton\u2019s second law, the change in momentum (( \\Delta p )) can also be defined in terms of the net force and the time over which the force acts:<\/p>\n\n\n\n<p>[<br>\\Delta p = F \\cdot t<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( F ) is the net force (in this case, the resistive force of 20 N),<\/li>\n\n\n\n<li>( t ) is the time duration (0.20 s).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the Change in Momentum<\/h3>\n\n\n\n<p>Using the formula:<\/p>\n\n\n\n<p>[<br>\\Delta p = 20 \\, \\text{N} \\cdot 0.20 \\, \\text{s} = 4.0 \\, \\text{N} \\cdot \\text{s}<br>]<\/p>\n\n\n\n<p>Since the resistive force is acting against the direction of the object\u2019s motion, the change in momentum is in the opposite direction to the object&#8217;s initial momentum. Therefore, the magnitude of the momentum change is 4.0 kg\u00b7m\/s.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Understand the Context of Momentum Change<\/h3>\n\n\n\n<p>Momentum is defined as the product of an object\u2019s mass (( m )) and its velocity (( v )):<\/p>\n\n\n\n<p>[<br>p = m \\cdot v<br>]<\/p>\n\n\n\n<p>In this case, the mass of the object is 4.0 kg, and its initial velocity is 6.0 m\/s, resulting in an initial momentum:<\/p>\n\n\n\n<p>[<br>p_{initial} = 4.0 \\, \\text{kg} \\cdot 6.0 \\, \\text{m\/s} = 24.0 \\, \\text{kg} \\cdot \\text{m\/s}<br>]<\/p>\n\n\n\n<p>After the force acts on the object, the final momentum can be calculated by subtracting the change in momentum:<\/p>\n\n\n\n<p>[<br>p_{final} = p_{initial} &#8211; \\Delta p = 24.0 \\, \\text{kg} \\cdot \\text{m\/s} &#8211; 4.0 \\, \\text{kg} \\cdot \\text{m\/s} = 20.0 \\, \\text{kg} \\cdot \\text{m\/s}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The magnitude of the momentum change experienced by the object is approximately <strong>4.0 kg\u00b7m\/s<\/strong>. This scenario illustrates the principle of momentum and how external forces can alter an object\u2019s motion over time, demonstrating fundamental concepts in dynamics and the conservation of momentum.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>a 4.0 kg object moving at 6.0 m\/s encounters a 20 n resistive force over a duration of 0.20s. the momentum change (magnitude only) experienced by this object is approximately ns. The Correct Answer and Explanation is : The correct answer is: 4.0 kg\u00b7m\/s To find the momentum change experienced by the object, we start [&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-153684","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153684","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=153684"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153684\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=153684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=153684"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=153684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}