{"id":22242,"date":"2025-06-16T14:35:29","date_gmt":"2025-06-16T14:35:29","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=22242"},"modified":"2025-06-16T14:35:30","modified_gmt":"2025-06-16T14:35:30","slug":"an-astronaut-goes-out-for-a-space-walk-at-a-distance-above-the-earth-equal-to-the-radius-of-the-earth","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/an-astronaut-goes-out-for-a-space-walk-at-a-distance-above-the-earth-equal-to-the-radius-of-the-earth\/","title":{"rendered":"An astronaut goes out for a &#8220;space-walk&#8221; at a distance above the earth equal to the radius of the earth"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">An astronaut goes out for a &#8220;space-walk&#8221; at a distance above the earth equal to the radius of the earth. What is her acceleration due to gravity at that point? zero g g\/2 g\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is: <strong>g\/4<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The acceleration due to gravity <strong>g<\/strong> at the surface of the Earth is given by the formula: g=GMR2g = \\frac{G M}{R^2}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GG is the universal gravitational constant<\/li>\n\n\n\n<li>MM is the mass of the Earth<\/li>\n\n\n\n<li>RR is the radius of the Earth<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Now, when the astronaut is at a <strong>distance above the Earth equal to the Earth\u2019s radius<\/strong>, her distance from the center of the Earth becomes: r=R+R=2Rr = R + R = 2R<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, her new acceleration due to gravity g\u2032g&#8217; becomes: g\u2032=GM(2R)2=GM4R2=g4g&#8217; = \\frac{G M}{(2R)^2} = \\frac{G M}{4R^2} = \\frac{g}{4}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conceptual Understanding:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Gravity decreases with the <strong>square of the distance<\/strong> from the center of the Earth. If you move twice as far from the center, the gravitational pull becomes one-fourth as strong.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>At <strong>1 Earth radius<\/strong> above the surface (i.e., total distance = 2R), gravity isn\u2019t zero \u2014 it just gets weaker.<\/li>\n\n\n\n<li>The idea of \u201czero gravity\u201d in space is a <strong>misconception<\/strong>. Astronauts in orbit still experience gravity \u2014 it&#8217;s just weaker, and they\u2019re in <strong>free fall<\/strong>, creating the sensation of weightlessness.<\/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\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">At a distance equal to the Earth\u2019s radius <strong>above the surface<\/strong>, the astronaut is at <strong>2R<\/strong> from Earth\u2019s center. Hence, her acceleration due to gravity becomes <strong>g\/4<\/strong>, not zero.<br>This reduction follows the <strong>inverse square law<\/strong> of gravitation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An astronaut goes out for a &#8220;space-walk&#8221; at a distance above the earth equal to the radius of the earth. What is her acceleration due to gravity at that point? zero g g\/2 g\/4 The correct answer and explanation is: The correct answer is: g\/4 Explanation: The acceleration due to gravity g at the surface [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-22242","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22242","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=22242"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22242\/revisions"}],"predecessor-version":[{"id":22243,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22242\/revisions\/22243"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22242"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22242"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}