{"id":82,"date":"2016-05-23T14:01:44","date_gmt":"2016-05-23T14:01:44","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=82"},"modified":"2021-10-28T10:18:12","modified_gmt":"2021-10-28T10:18:12","slug":"gravitation","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/gravitation\/","title":{"rendered":"Gravitation"},"content":{"rendered":"<p><strong><u>GRAVITATION<\/u><\/strong><\/p>\n<ol>\n<li>The International Space Station has a mass of approximately 4.19 x 10<sup>5 <\/sup>kg and orbits at a height of 400km. Calculate the force the ISS exerts on the Earth.<\/li>\n<li>Calculate the radius of a planet of mass 2.8 x 10<sup>26 <\/sup>kg if the acceleration due to gravity on the surface is twice that of the\u00a0planet Earth.<\/li>\n<li>Jupiter has a mass of 1.898 x 10<sup>27 <\/sup>kg and orbits at a mean distance of 778 x 10<sup>9 <\/sup>m from the Sun. Find the distance from Jupiter to the \u2018null point\u2019 in the gravitational field of the Sun\/Jupiter system.<\/li>\n<li>A satellite orbits the Earth with a period of 30 hours.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Satellite.png\"><img decoding=\"async\" class=\"wp-image-84 alignright\" src=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Satellite-300x249.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&#038;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEFAaCWV1LXdlc3QtMSJGMEQCICGQQGH1IPhgV6LVxYYeJfuvEV7JRPGZSeIw3F9W%2F8EFAiAM4PzdvnuO1C3C1P2nlRVeGIVverCJWWRX1KrSiH3GXSq5BQgZEAUaDDI3MzU3MDE5NTQzMyIM0RIj0F0vMvOCMTHgKpYFE4%2F5IuTEq9vI8rot%2BlyI2NB8e5%2By3nhhdK7%2BpMWAgUiOqnDxT6tVEK6N%2Bm8WiLbB%2B30bbIJ5BIIWCY7sp3FkrGPlBDKuHQ5UiP2azCUtsBwUPp5uAFvu08l4HULUDXq8ssewEr1eK6US6GixQcoSlFkIJpC7e8n1cP1X8n%2FdOYKpq1cZhIffadiJ9az5RCGzCtIjI%2FeWDMARcYkGepkaLKo0lo%2ByC9PKaW7AqJHuXUNJ5iKt40wJ2iP5pQSQYwm9zGljdrKHnhEah%2B6uVrwEvflcnsaUNLIi9nQKje7cx6tK5l5u1f5e5nbzEXDCnq4F7Yod4LcHdxDi0zJvKa97Hu8SFupBi%2F07a59yRE1QPoJP4Ad%2Big%2FwEGaG1Q0O%2FCGUjqY6Xii1Hm6q6XBx0ArQ4gg%2BTqzssFD6gdX%2FD1PQZdMrR5euP8C3eYDfV%2B%2FRRjWVpuA3ETduebMgxjXsqU896hpNcwm7OcsVIqrxCw4OGC0Q9gn8eywogLmNnmaZGleLyv048q4ZSJr%2FHV9GuT5TxivcDg2GVV%2BZWgJ7gG7Jc3xOS4T5fDb9ey3OSyySxK4hGK4oXvHsl7VlNogBdoCeULNDCO6iOWVq10WkhjCsgozJSzb1LOu3zUHSzPV28aLQTUHaEnqdG67u%2Faf0IyN337tD5qQ4uJdDkNunpgHVhsspAM5%2BSx849%2BJR7XprkXuEs%2BkUmXzTHG9ST%2BugywMDZo0C41q%2FWK2w4RUcI%2F%2Bt7vZQiHyIUGLQILD5eIqf8HEwz63LZOVgDFiSRG7cGc1goTGX%2FFb%2FYf2hAtsflPYOKMBiYy1CwNJ57rVKo8JqNTmTUufhCD05Dqf7RPE5q4nerFvi1SLg4TrXFUtw37HwggIzJJKaLIgww%2BuL1wY6sgFC%2F8kuSwxNekGBFnPrHu%2FTGf%2BD%2FBz6u6pRTe%2Fb67YKxcLm2Dymt%2Fiy2VmZ6RdX8V98hPLeA1sWQjb6ppd20Q4JoYF3%2FWQ0bsouk7SXjkRs8Fk21WDePnYv2oBC8P3mCo9tDuLyUv8MbxuamlcenIb9nmRojb%2Bh8hZ58oKR4XxjQTcYcjClN7WICACxZCEEgiLvk25iO6CeBDWXfhRlR6inT3QdNV4tYFMesY0Rb1YymoRr&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UX2GMWDFB%2F20261029%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261029T080800Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=f5eef1fd4bbbca41d803603222e2f1a365d7473636bb8afc703a9ddd56258983\" alt=\"Satellite\" width=\"123\" height=\"102\" srcset=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Satellite-300x249.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEFAaCWV1LXdlc3QtMSJGMEQCICGQQGH1IPhgV6LVxYYeJfuvEV7JRPGZSeIw3F9W%2F8EFAiAM4PzdvnuO1C3C1P2nlRVeGIVverCJWWRX1KrSiH3GXSq5BQgZEAUaDDI3MzU3MDE5NTQzMyIM0RIj0F0vMvOCMTHgKpYFE4%2F5IuTEq9vI8rot%2BlyI2NB8e5%2By3nhhdK7%2BpMWAgUiOqnDxT6tVEK6N%2Bm8WiLbB%2B30bbIJ5BIIWCY7sp3FkrGPlBDKuHQ5UiP2azCUtsBwUPp5uAFvu08l4HULUDXq8ssewEr1eK6US6GixQcoSlFkIJpC7e8n1cP1X8n%2FdOYKpq1cZhIffadiJ9az5RCGzCtIjI%2FeWDMARcYkGepkaLKo0lo%2ByC9PKaW7AqJHuXUNJ5iKt40wJ2iP5pQSQYwm9zGljdrKHnhEah%2B6uVrwEvflcnsaUNLIi9nQKje7cx6tK5l5u1f5e5nbzEXDCnq4F7Yod4LcHdxDi0zJvKa97Hu8SFupBi%2F07a59yRE1QPoJP4Ad%2Big%2FwEGaG1Q0O%2FCGUjqY6Xii1Hm6q6XBx0ArQ4gg%2BTqzssFD6gdX%2FD1PQZdMrR5euP8C3eYDfV%2B%2FRRjWVpuA3ETduebMgxjXsqU896hpNcwm7OcsVIqrxCw4OGC0Q9gn8eywogLmNnmaZGleLyv048q4ZSJr%2FHV9GuT5TxivcDg2GVV%2BZWgJ7gG7Jc3xOS4T5fDb9ey3OSyySxK4hGK4oXvHsl7VlNogBdoCeULNDCO6iOWVq10WkhjCsgozJSzb1LOu3zUHSzPV28aLQTUHaEnqdG67u%2Faf0IyN337tD5qQ4uJdDkNunpgHVhsspAM5%2BSx849%2BJR7XprkXuEs%2BkUmXzTHG9ST%2BugywMDZo0C41q%2FWK2w4RUcI%2F%2Bt7vZQiHyIUGLQILD5eIqf8HEwz63LZOVgDFiSRG7cGc1goTGX%2FFb%2FYf2hAtsflPYOKMBiYy1CwNJ57rVKo8JqNTmTUufhCD05Dqf7RPE5q4nerFvi1SLg4TrXFUtw37HwggIzJJKaLIgww%2BuL1wY6sgFC%2F8kuSwxNekGBFnPrHu%2FTGf%2BD%2FBz6u6pRTe%2Fb67YKxcLm2Dymt%2Fiy2VmZ6RdX8V98hPLeA1sWQjb6ppd20Q4JoYF3%2FWQ0bsouk7SXjkRs8Fk21WDePnYv2oBC8P3mCo9tDuLyUv8MbxuamlcenIb9nmRojb%2Bh8hZ58oKR4XxjQTcYcjClN7WICACxZCEEgiLvk25iO6CeBDWXfhRlR6inT3QdNV4tYFMesY0Rb1YymoRr&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UX2GMWDFB%2F20261029%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20261029T080800Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=f5eef1fd4bbbca41d803603222e2f1a365d7473636bb8afc703a9ddd56258983 300w, https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Satellite.png 315w\" sizes=\"(max-width: 123px) 100vw, 123px\" \/><\/a><\/p>\n<p>Calculate its orbital velocity and height above the Earth\u2019s surface.<\/p>\n<ol start=\"5\">\n<li>At what distance from a mass of 1.0 x 10<sup>4 <\/sup>kg would the gravitational potential be,<\/li>\n<\/ol>\n<p>(a) -0.10 Jkg<sup>-1<\/sup> (b) -2.0 x 10<sup>-9<\/sup> Jkg<sup>-1<\/sup>.<\/p>\n<ol start=\"6\">\n<li>A spacecraft of mass 4.5 x 10<sup>3 <\/sup>kg is in orbit 12,000km above the surface of Mars. Calculate how much work must be done by the engines to move it out to an orbital radius of 20,000km.<\/li>\n<li>Calculate the escape velocity of Venus.<a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Venus.gif\"><img decoding=\"async\" class=\"wp-image-85 alignright\" src=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Venus-280x300.gif?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&#038;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEFAaCWV1LXdlc3QtMSJGMEQCICGQQGH1IPhgV6LVxYYeJfuvEV7JRPGZSeIw3F9W%2F8EFAiAM4PzdvnuO1C3C1P2nlRVeGIVverCJWWRX1KrSiH3GXSq5BQgZEAUaDDI3MzU3MDE5NTQzMyIM0RIj0F0vMvOCMTHgKpYFE4%2F5IuTEq9vI8rot%2BlyI2NB8e5%2By3nhhdK7%2BpMWAgUiOqnDxT6tVEK6N%2Bm8WiLbB%2B30bbIJ5BIIWCY7sp3FkrGPlBDKuHQ5UiP2azCUtsBwUPp5uAFvu08l4HULUDXq8ssewEr1eK6US6GixQcoSlFkIJpC7e8n1cP1X8n%2FdOYKpq1cZhIffadiJ9az5RCGzCtIjI%2FeWDMARcYkGepkaLKo0lo%2ByC9PKaW7AqJHuXUNJ5iKt40wJ2iP5pQSQYwm9zGljdrKHnhEah%2B6uVrwEvflcnsaUNLIi9nQKje7cx6tK5l5u1f5e5nbzEXDCnq4F7Yod4LcHdxDi0zJvKa97Hu8SFupBi%2F07a59yRE1QPoJP4Ad%2Big%2FwEGaG1Q0O%2FCGUjqY6Xii1Hm6q6XBx0ArQ4gg%2BTqzssFD6gdX%2FD1PQZdMrR5euP8C3eYDfV%2B%2FRRjWVpuA3ETduebMgxjXsqU896hpNcwm7OcsVIqrxCw4OGC0Q9gn8eywogLmNnmaZGleLyv048q4ZSJr%2FHV9GuT5TxivcDg2GVV%2BZWgJ7gG7Jc3xOS4T5fDb9ey3OSyySxK4hGK4oXvHsl7VlNogBdoCeULNDCO6iOWVq10WkhjCsgozJSzb1LOu3zUHSzPV28aLQTUHaEnqdG67u%2Faf0IyN337tD5qQ4uJdDkNunpgHVhsspAM5%2BSx849%2BJR7XprkXuEs%2BkUmXzTHG9ST%2BugywMDZo0C41q%2FWK2w4RUcI%2F%2Bt7vZQiHyIUGLQILD5eIqf8HEwz63LZOVgDFiSRG7cGc1goTGX%2FFb%2FYf2hAtsflPYOKMBiYy1CwNJ57rVKo8JqNTmTUufhCD05Dqf7RPE5q4nerFvi1SLg4TrXFUtw37HwggIzJJKaLIgww%2BuL1wY6sgFC%2F8kuSwxNekGBFnPrHu%2FTGf%2BD%2FBz6u6pRTe%2Fb67YKxcLm2Dymt%2Fiy2VmZ6RdX8V98hPLeA1sWQjb6ppd20Q4JoYF3%2FWQ0bsouk7SXjkRs8Fk21WDePnYv2oBC8P3mCo9tDuLyUv8MbxuamlcenIb9nmRojb%2Bh8hZ58oKR4XxjQTcYcjClN7WICACxZCEEgiLvk25iO6CeBDWXfhRlR6inT3QdNV4tYFMesY0Rb1YymoRr&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UX2GMWDFB%2F20261029%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261029T080800Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=b25d650a1f193ecf2f54c8d90085e58add88fa6468bfba64f8fd2a312bede833\" alt=\"Venus\" width=\"121\" height=\"130\" \/><\/a><\/li>\n<li>For the Moon in orbit around the Earth, Find<\/li>\n<\/ol>\n<p>(a) its kinetic energy<\/p>\n<p>(b) its total energy.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>GRAVITATION The International Space Station has a mass of approximately 4.19 x 105 kg and orbits at a height of 400km. Calculate the force the ISS exerts on the Earth. Calculate the radius of a planet of mass 2.8 x 1026 kg if the acceleration due to gravity on the surface is twice that of &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/gravitation\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Gravitation<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":6460,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-82","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/82","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/users\/6460"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/comments?post=82"}],"version-history":[{"count":9,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/82\/revisions"}],"predecessor-version":[{"id":139,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/82\/revisions\/139"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}