{"id":38189,"date":"2025-06-26T08:34:54","date_gmt":"2025-06-26T08:34:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38189"},"modified":"2025-06-26T08:34:55","modified_gmt":"2025-06-26T08:34:55","slug":"find-the-gravitational-acceleration-near-the-surface-of-jupiter","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-gravitational-acceleration-near-the-surface-of-jupiter\/","title":{"rendered":"Find the gravitational acceleration near the surface of Jupiter"},"content":{"rendered":"\n<p>Find the gravitational acceleration near the surface of Jupiter. The mass of Jupiter is 1.90\u00c3\u201410^27 kg and the radius is 6.99\u00c3\u201410^4 km. The gravitational constant is 6.67\u00c3\u201410^\u00e2\u02c6\u201911 N\u00e2\u2039\u2026m^2\/kg^2.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<p>To find the gravitational acceleration (<strong>g<\/strong>) near the surface of Jupiter, use the universal law of gravitation:g=G\u22c5Mr2g = \\frac{G \\cdot M}{r^2}g=r2G\u22c5M\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>G=6.67\u00d710\u221211\u2009N\\cdotpm2\/kg2G = 6.67 \\times 10^{-11} \\, \\text{N\u00b7m}^2\/\\text{kg}^2G=6.67\u00d710\u221211N\\cdotpm2\/kg2<\/li>\n\n\n\n<li>M=1.90\u00d71027\u2009kgM = 1.90 \\times 10^{27} \\, \\text{kg}M=1.90\u00d71027kg (mass of Jupiter)<\/li>\n\n\n\n<li>r=6.99\u00d7104\u2009km=6.99\u00d7107\u2009mr = 6.99 \\times 10^4 \\, \\text{km} = 6.99 \\times 10^7 \\, \\text{m}r=6.99\u00d7104km=6.99\u00d7107m<\/li>\n<\/ul>\n\n\n\n<p>Now plug in the values:g=6.67\u00d710\u221211\u00d71.90\u00d71027(6.99\u00d7107)2g = \\frac{6.67 \\times 10^{-11} \\times 1.90 \\times 10^{27}}{(6.99 \\times 10^7)^2}g=(6.99\u00d7107)26.67\u00d710\u221211\u00d71.90\u00d71027\u200bg=1.2673\u00d710174.88601\u00d71015\u224825.93\u2009m\/s2g = \\frac{1.2673 \\times 10^{17}}{4.88601 \\times 10^{15}} \\approx 25.93 \\, \\text{m\/s}^2g=4.88601\u00d710151.2673\u00d71017\u200b\u224825.93m\/s2<\/p>\n\n\n\n<p><strong>Gravitational acceleration near Jupiter\u2019s surface is approximately 25.93 m\/s\u00b2.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation<\/strong><\/p>\n\n\n\n<p>Gravitational acceleration is the force experienced by an object due to a planet\u2019s gravity, divided by its mass. It can be calculated using Newton&#8217;s law of universal gravitation. The formula g=GMr2g = \\frac{GM}{r^2}g=r2GM\u200b shows how gravity depends on both the planet&#8217;s mass and the distance from its center.<\/p>\n\n\n\n<p>In this problem, we are dealing with Jupiter. Jupiter is the largest planet in the solar system, so it has a very large mass. The mass used in this calculation is 1.90\u00d710271.90 \\times 10^{27}1.90\u00d71027 kilograms. The radius of Jupiter is given as 6.99 x 10^4 kilometers, which needs to be converted to meters to match the SI unit system. One kilometer is 1000 meters, so this becomes 6.99\u00d71076.99 \\times 10^76.99\u00d7107 meters.<\/p>\n\n\n\n<p>By plugging the values into the formula, we square the radius and multiply the gravitational constant by the mass. Then we divide the two results. The final answer we get is approximately 25.93 meters per second squared. This means that an object near the surface of Jupiter would experience nearly 2.6 times the gravitational pull it feels on Earth, where gravity is about 9.8 meters per second squared.<\/p>\n\n\n\n<p>This intense gravity would have a strong effect on anything near the planet. For example, if a person weighs 60 kg on Earth, they would feel as if they weighed more than 150 kg on Jupiter due to this stronger gravity.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1010.jpeg\" alt=\"\" class=\"wp-image-38192\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1010.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1010-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1010-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the gravitational acceleration near the surface of Jupiter. The mass of Jupiter is 1.90\u00c3\u201410^27 kg and the radius is 6.99\u00c3\u201410^4 km. The gravitational constant is 6.67\u00c3\u201410^\u00e2\u02c6\u201911 N\u00e2\u2039\u2026m^2\/kg^2. The Correct Answer and Explanation is: Correct Answer: To find the gravitational acceleration (g) near the surface of Jupiter, use the universal law of gravitation:g=G\u22c5Mr2g = \\frac{G [&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-38189","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38189","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=38189"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38189\/revisions"}],"predecessor-version":[{"id":38196,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38189\/revisions\/38196"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38189"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38189"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}