{"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=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260407T201436Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=84aed5b198b68809ee83c1f6205cf246b85a1862ecf6ff15fa18ef15db26a183\" 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=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260407T201436Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=84aed5b198b68809ee83c1f6205cf246b85a1862ecf6ff15fa18ef15db26a183 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=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260407T201436Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=4a28372e1577548457b2e80ecd9e6eb4ed978c968a22fb5b92554072cd91a714\" 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}]}}