{"id":204976,"date":"2025-03-22T19:37:11","date_gmt":"2025-03-22T19:37:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=204976"},"modified":"2025-03-23T04:47:48","modified_gmt":"2025-03-23T04:47:48","slug":"what-magnitude-impulse-will-give-a-2-0kg-object-a-momentum-change-of-magnitude-50-kgm-s","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/22\/what-magnitude-impulse-will-give-a-2-0kg-object-a-momentum-change-of-magnitude-50-kgm-s\/","title":{"rendered":"What magnitude impulse will give a 2.0kg object a momentum change of magnitude +50 kgm\/s"},"content":{"rendered":"\n<p>What magnitude impulse will give a 2.0kg object a momentum change of magnitude +50 kgm\/s?<\/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<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>The impulse ( J ) is given by the equation:<\/p>\n\n\n\n<p>[<br>J = \\Delta p<br>]<\/p>\n\n\n\n<p>where ( \\Delta p ) is the change in momentum. Given that the momentum change is ( +50 ) kg\u00b7m\/s, we find:<\/p>\n\n\n\n<p>[<br>J = 50 \\text{ kg\u00b7m\/s}<br>]<\/p>\n\n\n\n<p>Thus, the magnitude of the impulse required is <strong>50 N\u00b7s<\/strong>.<\/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>Impulse is defined as the product of force and the time interval during which the force acts:<\/p>\n\n\n\n<p>[<br>J = F \\cdot t<br>]<\/p>\n\n\n\n<p>Alternatively, impulse can be understood as the change in momentum:<\/p>\n\n\n\n<p>[<br>J = \\Delta p = m \\Delta v<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( m ) is the mass of the object,<\/li>\n\n\n\n<li>( \\Delta v ) is the change in velocity,<\/li>\n\n\n\n<li>( \\Delta p ) is the change in momentum.<\/li>\n<\/ul>\n\n\n\n<p>In this case, the object has a mass of ( m = 2.0 ) kg, and we are given that the momentum change is ( \\Delta p = +50 ) kg\u00b7m\/s. Since impulse is equal to the change in momentum, the impulse magnitude is directly <strong>50 N\u00b7s<\/strong>.<\/p>\n\n\n\n<p>This means that any force ( F ) applied over a time interval ( t ) that results in an impulse of 50 N\u00b7s will cause this change in momentum. The force could be large over a short time or smaller over a longer time.<\/p>\n\n\n\n<p>For example:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A force of <strong>50 N<\/strong> acting for <strong>1 second<\/strong>:<br>[<br>J = 50 N \\times 1 s = 50 N\u00b7s<br>]<\/li>\n\n\n\n<li>A force of <strong>25 N<\/strong> acting for <strong>2 seconds<\/strong>:<br>[<br>J = 25 N \\times 2 s = 50 N\u00b7s<br>]<\/li>\n<\/ol>\n\n\n\n<p>Both scenarios would produce the required impulse.<\/p>\n\n\n\n<p>Thus, an impulse of <strong>50 N\u00b7s<\/strong> will always result in a <strong>+50 kg\u00b7m\/s<\/strong> change in momentum, regardless of how it is applied.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1166.png\" alt=\"\" class=\"wp-image-204990\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What magnitude impulse will give a 2.0kg object a momentum change of magnitude +50 kgm\/s? The correct answer and explanation is : Answer: The impulse ( J ) is given by the equation: [J = \\Delta p] where ( \\Delta p ) is the change in momentum. Given that the momentum change is ( +50 [&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-204976","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/204976","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=204976"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/204976\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=204976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=204976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=204976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}