{"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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260518T141729Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=b6286ca4d591b3dfe1f4c7a95f78920280c4be3cd8e1fe886cbdbc79762bdf0e\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260518T141729Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=b6286ca4d591b3dfe1f4c7a95f78920280c4be3cd8e1fe886cbdbc79762bdf0e 300w, https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Satellite.png 315w\" sizes=\"auto, (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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260518T141729Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=59564ec3986da92f8610a2e3fee01206f786025bad215516536357f03d19a278\" 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}]}}