{"id":255903,"date":"2025-07-13T11:08:19","date_gmt":"2025-07-13T11:08:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255903"},"modified":"2025-07-13T11:08:21","modified_gmt":"2025-07-13T11:08:21","slug":"what-is-the-gravitational-force-between-the-earth-and-mars","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/what-is-the-gravitational-force-between-the-earth-and-mars\/","title":{"rendered":"What is the gravitational force between the Earth and Mars"},"content":{"rendered":"\n<p>What is the gravitational force between the Earth and Mars? Mass of Earth = 5.97 x 10^24 kg Mass of Mars = 6.39 x 10^23 kg Distance between Earth and Mars = 2.25 x 10^11 m Options: A) 5.02 x 10^15 N B) 1.13 x 10^27 N C) 7.52 x 10^25 N D) 2.54 x 10^38 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-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To calculate the gravitational force between the Earth and Mars, we use <strong>Newton&#8217;s Law of Universal Gravitation<\/strong>:F=G\u22c5m1\u22c5m2r2F = \\frac{{G \\cdot m_1 \\cdot m_2}}{{r^2}}F=r2G\u22c5m1\u200b\u22c5m2\u200b\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,<\/li>\n\n\n\n<li>GGG is the gravitational constant, G=6.67\u00d710\u221211\u2009N\u22c5m2\/kg2G = 6.67 \\times 10^{-11} \\, \\text{N} \\cdot \\text{m}^2 \/ \\text{kg}^2G=6.67\u00d710\u221211N\u22c5m2\/kg2,<\/li>\n\n\n\n<li>m1m_1m1\u200b and m2m_2m2\u200b are the masses of Earth and Mars, respectively,<\/li>\n\n\n\n<li>rrr is the distance between the centers of Earth and Mars.<\/li>\n<\/ul>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass of Earth, m1=5.97\u00d71024\u2009kgm_1 = 5.97 \\times 10^{24} \\, \\text{kg}m1\u200b=5.97\u00d71024kg,<\/li>\n\n\n\n<li>Mass of Mars, m2=6.39\u00d71023\u2009kgm_2 = 6.39 \\times 10^{23} \\, \\text{kg}m2\u200b=6.39\u00d71023kg,<\/li>\n\n\n\n<li>Distance between Earth and Mars, r=2.25\u00d71011\u2009mr = 2.25 \\times 10^{11} \\, \\text{m}r=2.25\u00d71011m.<\/li>\n<\/ul>\n\n\n\n<p>Now, substituting the values into the formula:F=(6.67\u00d710\u221211)\u22c5(5.97\u00d71024)\u22c5(6.39\u00d71023)(2.25\u00d71011)2F = \\frac{{(6.67 \\times 10^{-11}) \\cdot (5.97 \\times 10^{24}) \\cdot (6.39 \\times 10^{23})}}{{(2.25 \\times 10^{11})^2}}F=(2.25\u00d71011)2(6.67\u00d710\u221211)\u22c5(5.97\u00d71024)\u22c5(6.39\u00d71023)\u200b<\/p>\n\n\n\n<p>First, calculate the denominator:r2=(2.25\u00d71011)2=5.0625\u00d71022\u2009m2r^2 = (2.25 \\times 10^{11})^2 = 5.0625 \\times 10^{22} \\, \\text{m}^2r2=(2.25\u00d71011)2=5.0625\u00d71022m2<\/p>\n\n\n\n<p>Now, calculate the numerator:(6.67\u00d710\u221211)\u22c5(5.97\u00d71024)\u22c5(6.39\u00d71023)=2.54\u00d71037(6.67 \\times 10^{-11}) \\cdot (5.97 \\times 10^{24}) \\cdot (6.39 \\times 10^{23}) = 2.54 \\times 10^{37}(6.67\u00d710\u221211)\u22c5(5.97\u00d71024)\u22c5(6.39\u00d71023)=2.54\u00d71037<\/p>\n\n\n\n<p>Finally, divide the numerator by the denominator:F=2.54\u00d710375.0625\u00d71022=5.02\u00d71015\u2009NF = \\frac{{2.54 \\times 10^{37}}}{{5.0625 \\times 10^{22}}} = 5.02 \\times 10^{15} \\, \\text{N}F=5.0625\u00d710222.54\u00d71037\u200b=5.02\u00d71015N<\/p>\n\n\n\n<p>Therefore, the gravitational force between the Earth and Mars is <strong>5.02 x 10^15 N<\/strong>, which corresponds to <strong>option A<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-520.jpeg\" alt=\"\" class=\"wp-image-255904\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the gravitational force between the Earth and Mars? Mass of Earth = 5.97 x 10^24 kg Mass of Mars = 6.39 x 10^23 kg Distance between Earth and Mars = 2.25 x 10^11 m Options: A) 5.02 x 10^15 N B) 1.13 x 10^27 N C) 7.52 x 10^25 N D) 2.54 x [&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-255903","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255903","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=255903"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255903\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}