{"id":235133,"date":"2025-06-15T02:24:11","date_gmt":"2025-06-15T02:24:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235133"},"modified":"2025-06-15T02:24:13","modified_gmt":"2025-06-15T02:24:13","slug":"if-an-object-at-a-distance-6400-km-from-the-center-of-earth-weighs-10-n-what-will-be-its-weight-if-it-is-shifted-to-12800-km-from-the-center-of-earth","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/if-an-object-at-a-distance-6400-km-from-the-center-of-earth-weighs-10-n-what-will-be-its-weight-if-it-is-shifted-to-12800-km-from-the-center-of-earth\/","title":{"rendered":"If an object at a distance 6400 km from the center of Earth weighs 10 N, what will be its weight if it is shifted to 12,800 km from the center of Earth"},"content":{"rendered":"\n<p>If an object at a distance 6400 km from the center of Earth weighs 10 N, what will be its weight if it is shifted to 12,800 km from the center of Earth? [Ans: 25 N]<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: 2.5 N<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The weight of an object is the gravitational force exerted on it by the Earth. This force is governed by Newton\u2019s Law of Universal Gravitation, which is mathematically expressed as:F=GMmr2F = \\frac{G M m}{r^2}F=r2GMm\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>FFF is the gravitational force (or weight),<\/li>\n\n\n\n<li>GGG is the universal gravitational constant,<\/li>\n\n\n\n<li>MMM is the mass of the Earth,<\/li>\n\n\n\n<li>mmm is the mass of the object,<\/li>\n\n\n\n<li>rrr is the distance from the center of the Earth.<\/li>\n<\/ul>\n\n\n\n<p>From the equation, gravitational force is inversely proportional to the square of the distance from the center of the Earth:F\u221d1r2F \\propto \\frac{1}{r^2}F\u221dr21\u200b<\/p>\n\n\n\n<p>Let the initial distance be r1=6400r_1 = 6400r1\u200b=6400 km and the final distance be r2=12,800r_2 = 12,800r2\u200b=12,800 km.<br>Let the initial weight be F1=10F_1 = 10F1\u200b=10 N and the final weight be F2F_2F2\u200b.<\/p>\n\n\n\n<p>Using the inverse-square law:F2F1=(r1r2)2\\frac{F_2}{F_1} = \\left(\\frac{r_1}{r_2}\\right)^2F1\u200bF2\u200b\u200b=(r2\u200br1\u200b\u200b)2<\/p>\n\n\n\n<p>Substitute values:F210=(640012800)2=(12)2=14\\frac{F_2}{10} = \\left(\\frac{6400}{12800}\\right)^2 = \\left(\\frac{1}{2}\\right)^2 = \\frac{1}{4}10F2\u200b\u200b=(128006400\u200b)2=(21\u200b)2=41\u200b<\/p>\n\n\n\n<p>Solving for F2F_2F2\u200b:F2=10\u00d714=2.5&nbsp;NF_2 = 10 \\times \\frac{1}{4} = 2.5 \\text{ N}F2\u200b=10\u00d741\u200b=2.5&nbsp;N<\/p>\n\n\n\n<p>Thus, the weight of the object becomes <strong>2.5 N<\/strong> when moved to a distance of 12,800 km from Earth\u2019s center.<\/p>\n\n\n\n<p>The change in weight arises because gravitational force decreases rapidly with distance. Doubling the distance from the Earth&#8217;s center causes the weight to reduce to one-fourth of its original value, demonstrating the significant effect of radial distance in gravitational interactions.<\/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-banner8-561.jpeg\" alt=\"\" class=\"wp-image-235134\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If an object at a distance 6400 km from the center of Earth weighs 10 N, what will be its weight if it is shifted to 12,800 km from the center of Earth? [Ans: 25 N] The Correct Answer and Explanation is: Correct Answer: 2.5 N Explanation: The weight of an object is the gravitational [&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-235133","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235133","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=235133"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235133\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}