{"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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIGf9t4YcklTCDS4BWD4hvNum19VGe6pkzHrF8N2gsOUZAiEAvEEq2eVirFPv4TtFT1yoRH%2FgexBn19jyett9z0f73QYquAUIRxAFGgwyNzM1NzAxOTU0MzMiDJVvqlcAL9gAi8hZ%2BiqVBRzhkVQUcq7jYhCE4042mQpW0cVBAKrKqnBGSZVA0EFo5wjcVDlqrpDHmXy84OE38feWzOUnr9kyVhnt%2BHYroyvgsIAhQVVayFJoiB%2BwoeS5BNpEbsbK8bYIepkzkTBgp8B57gV2BAmQa7%2BqcxgwPUp6Y3ISgks6XBk97IU0nvdFMonN3WRfF0vBUROvgCq1KNdYUUcVTOYGpzd96b7skqzc3Dqq25HjMetQ09JDE4vOAaK8WEiTVwaYigp4Km%2BwHFmjslgXaGm9wzNmUzu6EqpLfJrJOE7vXCWtutWbJx69OnUSSdShf99c6UefWWHQNkT0D%2FyNJFt%2Br90fSdC39Bn4wZzAj9%2BEp11z5n%2FlR1Viirhr6uScVRZH3REVXdJgYzkt6oV96CMiSRSlWXUcbI%2BO0jEvnWTyp39BcU4%2B2StjxnIaqjGVZ75gmWgk%2F6%2BsyijTZOk6pKqXBN6wXL7n%2Fo9cn1amB73oEBghtiZ739rmH3N5VHPIo8N6%2BVM9GIfYdApArXbcDJZr12ESMy8J8Rk181P8WpIuq93rMqatT1oAeAPKMLGjI8Cmlr74BnBoKjBYCexZYycdYHMFFJXHLWLjBtkWEAK1qKcdEBhfC2h4p2kuqLhWP1p%2FTkPva2jLjLpsexHXvS8D7Udt0sMFyUFxpbE%2Bp0%2BSY4aiFpQ%2FqnXx4TlHDufA5TPuJDq2LD8jfTYPNcJybS56zTuLHmXgkj0f%2F%2BIPUAZiZPMLmOF9mRyTw3NyZxG4VoMdNRMW2SysaAtGFVXSuKYiXUo4BqijCqzb2z5Q3LC9U4Ur6cu9PVmU86vxx2NIs4MWiFP62xeDk%2FWuePTobGgNPtBTNZDsb7Y3UglDoCSOgPr2p5R6qqqg4qk4e5kw0v601QY6sQEoHUnUEVDWCUuAcZONqR105B23OKmluoMZHEqpzYSU5Rj0%2B6DLR7oHqlhMq3%2FUH0gU%2BkZk%2Fnpbi8r1IOhW5dvTWiKOCUs1l5Y9mSFAzP2rtNRLdWFO3TpVCiGAUdhS6QzRlBv6SfhgqJm9k%2BQlkK33lSG%2BTgtvNPFv7IyEGuE1NMxGDMYdXIahTuKL13KAyIcotCf%2BOJEov%2B3b5NLVzbN%2BYjwXfTcvOpnYneVz0YbWwMc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UW373I5SD%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260918T134507Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=3ec50920c9e12d9fd7da92f15bd63beaf91d630438039f13f2502c87143cb2bd\" 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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIGf9t4YcklTCDS4BWD4hvNum19VGe6pkzHrF8N2gsOUZAiEAvEEq2eVirFPv4TtFT1yoRH%2FgexBn19jyett9z0f73QYquAUIRxAFGgwyNzM1NzAxOTU0MzMiDJVvqlcAL9gAi8hZ%2BiqVBRzhkVQUcq7jYhCE4042mQpW0cVBAKrKqnBGSZVA0EFo5wjcVDlqrpDHmXy84OE38feWzOUnr9kyVhnt%2BHYroyvgsIAhQVVayFJoiB%2BwoeS5BNpEbsbK8bYIepkzkTBgp8B57gV2BAmQa7%2BqcxgwPUp6Y3ISgks6XBk97IU0nvdFMonN3WRfF0vBUROvgCq1KNdYUUcVTOYGpzd96b7skqzc3Dqq25HjMetQ09JDE4vOAaK8WEiTVwaYigp4Km%2BwHFmjslgXaGm9wzNmUzu6EqpLfJrJOE7vXCWtutWbJx69OnUSSdShf99c6UefWWHQNkT0D%2FyNJFt%2Br90fSdC39Bn4wZzAj9%2BEp11z5n%2FlR1Viirhr6uScVRZH3REVXdJgYzkt6oV96CMiSRSlWXUcbI%2BO0jEvnWTyp39BcU4%2B2StjxnIaqjGVZ75gmWgk%2F6%2BsyijTZOk6pKqXBN6wXL7n%2Fo9cn1amB73oEBghtiZ739rmH3N5VHPIo8N6%2BVM9GIfYdApArXbcDJZr12ESMy8J8Rk181P8WpIuq93rMqatT1oAeAPKMLGjI8Cmlr74BnBoKjBYCexZYycdYHMFFJXHLWLjBtkWEAK1qKcdEBhfC2h4p2kuqLhWP1p%2FTkPva2jLjLpsexHXvS8D7Udt0sMFyUFxpbE%2Bp0%2BSY4aiFpQ%2FqnXx4TlHDufA5TPuJDq2LD8jfTYPNcJybS56zTuLHmXgkj0f%2F%2BIPUAZiZPMLmOF9mRyTw3NyZxG4VoMdNRMW2SysaAtGFVXSuKYiXUo4BqijCqzb2z5Q3LC9U4Ur6cu9PVmU86vxx2NIs4MWiFP62xeDk%2FWuePTobGgNPtBTNZDsb7Y3UglDoCSOgPr2p5R6qqqg4qk4e5kw0v601QY6sQEoHUnUEVDWCUuAcZONqR105B23OKmluoMZHEqpzYSU5Rj0%2B6DLR7oHqlhMq3%2FUH0gU%2BkZk%2Fnpbi8r1IOhW5dvTWiKOCUs1l5Y9mSFAzP2rtNRLdWFO3TpVCiGAUdhS6QzRlBv6SfhgqJm9k%2BQlkK33lSG%2BTgtvNPFv7IyEGuE1NMxGDMYdXIahTuKL13KAyIcotCf%2BOJEov%2B3b5NLVzbN%2BYjwXfTcvOpnYneVz0YbWwMc%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UW373I5SD%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260918T134507Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=3ec50920c9e12d9fd7da92f15bd63beaf91d630438039f13f2502c87143cb2bd 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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIGf9t4YcklTCDS4BWD4hvNum19VGe6pkzHrF8N2gsOUZAiEAvEEq2eVirFPv4TtFT1yoRH%2FgexBn19jyett9z0f73QYquAUIRxAFGgwyNzM1NzAxOTU0MzMiDJVvqlcAL9gAi8hZ%2BiqVBRzhkVQUcq7jYhCE4042mQpW0cVBAKrKqnBGSZVA0EFo5wjcVDlqrpDHmXy84OE38feWzOUnr9kyVhnt%2BHYroyvgsIAhQVVayFJoiB%2BwoeS5BNpEbsbK8bYIepkzkTBgp8B57gV2BAmQa7%2BqcxgwPUp6Y3ISgks6XBk97IU0nvdFMonN3WRfF0vBUROvgCq1KNdYUUcVTOYGpzd96b7skqzc3Dqq25HjMetQ09JDE4vOAaK8WEiTVwaYigp4Km%2BwHFmjslgXaGm9wzNmUzu6EqpLfJrJOE7vXCWtutWbJx69OnUSSdShf99c6UefWWHQNkT0D%2FyNJFt%2Br90fSdC39Bn4wZzAj9%2BEp11z5n%2FlR1Viirhr6uScVRZH3REVXdJgYzkt6oV96CMiSRSlWXUcbI%2BO0jEvnWTyp39BcU4%2B2StjxnIaqjGVZ75gmWgk%2F6%2BsyijTZOk6pKqXBN6wXL7n%2Fo9cn1amB73oEBghtiZ739rmH3N5VHPIo8N6%2BVM9GIfYdApArXbcDJZr12ESMy8J8Rk181P8WpIuq93rMqatT1oAeAPKMLGjI8Cmlr74BnBoKjBYCexZYycdYHMFFJXHLWLjBtkWEAK1qKcdEBhfC2h4p2kuqLhWP1p%2FTkPva2jLjLpsexHXvS8D7Udt0sMFyUFxpbE%2Bp0%2BSY4aiFpQ%2FqnXx4TlHDufA5TPuJDq2LD8jfTYPNcJybS56zTuLHmXgkj0f%2F%2BIPUAZiZPMLmOF9mRyTw3NyZxG4VoMdNRMW2SysaAtGFVXSuKYiXUo4BqijCqzb2z5Q3LC9U4Ur6cu9PVmU86vxx2NIs4MWiFP62xeDk%2FWuePTobGgNPtBTNZDsb7Y3UglDoCSOgPr2p5R6qqqg4qk4e5kw0v601QY6sQEoHUnUEVDWCUuAcZONqR105B23OKmluoMZHEqpzYSU5Rj0%2B6DLR7oHqlhMq3%2FUH0gU%2BkZk%2Fnpbi8r1IOhW5dvTWiKOCUs1l5Y9mSFAzP2rtNRLdWFO3TpVCiGAUdhS6QzRlBv6SfhgqJm9k%2BQlkK33lSG%2BTgtvNPFv7IyEGuE1NMxGDMYdXIahTuKL13KAyIcotCf%2BOJEov%2B3b5NLVzbN%2BYjwXfTcvOpnYneVz0YbWwMc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UW373I5SD%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260918T134507Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=db77d605744d695897ecbf7545a0b33d824c16c1ecae654397459e439ffd6e13\" 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}]}}