{"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=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCe4ikDwpU7eDFWCg3qDednyDjyA0A0cB4mtN0KIYi7jgIgA7PZEa%2FeW%2BuYi4zTFaomOKGsLTqk4bNWQ1xNvHPVAXYquAUIdxAFGgwyNzM1NzAxOTU0MzMiDNp93HJhWAZoHb8zMSqVBVaThCwjfbx8FZh0jXCy1UEMIY0wbut8X4y%2BZJ6K%2Fwuzc%2FL05wMFV5%2BQk5c0S7fJERmTqP4ISg2Qm4skJHo%2BIkKeTMo4UdU%2FiANAk66UH7dF2S0Xaf3Ji7Go4y%2BlOBRM3qHNIkrOff7B5jliYTLa6H6WQ3cmsCM6AsvDOOK%2BO%2FINBIF9Cstkqk%2FBB47%2F4Ynv3RJpNEYAue1jvZOYLtUGJNj%2FXtjbRpmxYIxwdOLpQbFqQSONQcw%2B47v7B83OlYRZQ2%2B1dSgNMnDIZ01xuKXfAGuBmRh7x8ab7G2bEF%2FWFOt2z1BRpv8bANhlGp%2FcxG%2Bnz6DGY7K2GaqxYu17Fb2g9VE3h0q%2BUSEAqpSh6XEZR%2FFZ6WVIwFDQ5%2FAbIQWBLPKWs47MThDdNR9r3aXpif3TeVy2A%2FeWWdaQMbzgXzO%2B1m6gnfs%2BQv4ErDXq0gOxugMhVyPokdEw5ZYbiZF7VS%2FX5iKqJiF6t1W1RH%2FeLxRkETQsstfJkpCRgL7sHWvxZiG3HaRdXM3ETReNH%2BEcIr4sz%2Fcd1cnKCcvi43NPzBWhlx9%2FtOUUEpxoqiJxnrz9Siqf6G7mVD4gwpgjhh1dJwwbk2VJVFOGjEAjJM8Y4Nu%2FyleHmQ0g3re%2Fw9vtpi4%2FzDoGzul8OTd058uE%2BCF0zyOOw22bSeFLQiav9aYUtFczKriwa5LZhXWEmgLaAzsi4%2BV5l%2BeTteGZ%2BQTbN48gaX3uKd%2FRY2ay1CYJRgDdeKsbA47VAK%2F15nCCwhnKoA752BBWHNGfGE6k%2Bba%2FsSNqX99itQv%2BCm%2Fo7UHS7HGaHXQQFfqf2GR%2Bl%2FTRA6YB2LY2oE1jLY5UHF5ci3YfloCnzZpnTFOSJMOZL93bc4Tj3PniRt4FlohTrhEwrIvu0gY6sQEmLVUBaf%2FUxfICm1rYgM87WT9iAthIEtTEWsuzGOVahFaPtvk5naAXnLyk3WDR1taj3HUDotDcTNwYqY%2FbB5zbriwLe7Cg95HsdQ6i9pghnlwha7kDCXYfVrplXG5j12vQcNrRkPv0pBAFx3rnvKCU%2BrxR1Qf1IPKpju3guCvft3O6bKCWKMVclDudOSWOTW6p%2BUzKeXqUTd3mnJ%2BwtYCL8u%2BDweEcBoV7nT5Cg0YpGlc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UTV5HYF7Z%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260718T140704Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=82b8217da155b91c0b32a513ab9d5be9d4bdc0902aef70f7e2df5388826c471d\" 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=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCe4ikDwpU7eDFWCg3qDednyDjyA0A0cB4mtN0KIYi7jgIgA7PZEa%2FeW%2BuYi4zTFaomOKGsLTqk4bNWQ1xNvHPVAXYquAUIdxAFGgwyNzM1NzAxOTU0MzMiDNp93HJhWAZoHb8zMSqVBVaThCwjfbx8FZh0jXCy1UEMIY0wbut8X4y%2BZJ6K%2Fwuzc%2FL05wMFV5%2BQk5c0S7fJERmTqP4ISg2Qm4skJHo%2BIkKeTMo4UdU%2FiANAk66UH7dF2S0Xaf3Ji7Go4y%2BlOBRM3qHNIkrOff7B5jliYTLa6H6WQ3cmsCM6AsvDOOK%2BO%2FINBIF9Cstkqk%2FBB47%2F4Ynv3RJpNEYAue1jvZOYLtUGJNj%2FXtjbRpmxYIxwdOLpQbFqQSONQcw%2B47v7B83OlYRZQ2%2B1dSgNMnDIZ01xuKXfAGuBmRh7x8ab7G2bEF%2FWFOt2z1BRpv8bANhlGp%2FcxG%2Bnz6DGY7K2GaqxYu17Fb2g9VE3h0q%2BUSEAqpSh6XEZR%2FFZ6WVIwFDQ5%2FAbIQWBLPKWs47MThDdNR9r3aXpif3TeVy2A%2FeWWdaQMbzgXzO%2B1m6gnfs%2BQv4ErDXq0gOxugMhVyPokdEw5ZYbiZF7VS%2FX5iKqJiF6t1W1RH%2FeLxRkETQsstfJkpCRgL7sHWvxZiG3HaRdXM3ETReNH%2BEcIr4sz%2Fcd1cnKCcvi43NPzBWhlx9%2FtOUUEpxoqiJxnrz9Siqf6G7mVD4gwpgjhh1dJwwbk2VJVFOGjEAjJM8Y4Nu%2FyleHmQ0g3re%2Fw9vtpi4%2FzDoGzul8OTd058uE%2BCF0zyOOw22bSeFLQiav9aYUtFczKriwa5LZhXWEmgLaAzsi4%2BV5l%2BeTteGZ%2BQTbN48gaX3uKd%2FRY2ay1CYJRgDdeKsbA47VAK%2F15nCCwhnKoA752BBWHNGfGE6k%2Bba%2FsSNqX99itQv%2BCm%2Fo7UHS7HGaHXQQFfqf2GR%2Bl%2FTRA6YB2LY2oE1jLY5UHF5ci3YfloCnzZpnTFOSJMOZL93bc4Tj3PniRt4FlohTrhEwrIvu0gY6sQEmLVUBaf%2FUxfICm1rYgM87WT9iAthIEtTEWsuzGOVahFaPtvk5naAXnLyk3WDR1taj3HUDotDcTNwYqY%2FbB5zbriwLe7Cg95HsdQ6i9pghnlwha7kDCXYfVrplXG5j12vQcNrRkPv0pBAFx3rnvKCU%2BrxR1Qf1IPKpju3guCvft3O6bKCWKMVclDudOSWOTW6p%2BUzKeXqUTd3mnJ%2BwtYCL8u%2BDweEcBoV7nT5Cg0YpGlc%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UTV5HYF7Z%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260718T140704Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=82b8217da155b91c0b32a513ab9d5be9d4bdc0902aef70f7e2df5388826c471d 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=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCe4ikDwpU7eDFWCg3qDednyDjyA0A0cB4mtN0KIYi7jgIgA7PZEa%2FeW%2BuYi4zTFaomOKGsLTqk4bNWQ1xNvHPVAXYquAUIdxAFGgwyNzM1NzAxOTU0MzMiDNp93HJhWAZoHb8zMSqVBVaThCwjfbx8FZh0jXCy1UEMIY0wbut8X4y%2BZJ6K%2Fwuzc%2FL05wMFV5%2BQk5c0S7fJERmTqP4ISg2Qm4skJHo%2BIkKeTMo4UdU%2FiANAk66UH7dF2S0Xaf3Ji7Go4y%2BlOBRM3qHNIkrOff7B5jliYTLa6H6WQ3cmsCM6AsvDOOK%2BO%2FINBIF9Cstkqk%2FBB47%2F4Ynv3RJpNEYAue1jvZOYLtUGJNj%2FXtjbRpmxYIxwdOLpQbFqQSONQcw%2B47v7B83OlYRZQ2%2B1dSgNMnDIZ01xuKXfAGuBmRh7x8ab7G2bEF%2FWFOt2z1BRpv8bANhlGp%2FcxG%2Bnz6DGY7K2GaqxYu17Fb2g9VE3h0q%2BUSEAqpSh6XEZR%2FFZ6WVIwFDQ5%2FAbIQWBLPKWs47MThDdNR9r3aXpif3TeVy2A%2FeWWdaQMbzgXzO%2B1m6gnfs%2BQv4ErDXq0gOxugMhVyPokdEw5ZYbiZF7VS%2FX5iKqJiF6t1W1RH%2FeLxRkETQsstfJkpCRgL7sHWvxZiG3HaRdXM3ETReNH%2BEcIr4sz%2Fcd1cnKCcvi43NPzBWhlx9%2FtOUUEpxoqiJxnrz9Siqf6G7mVD4gwpgjhh1dJwwbk2VJVFOGjEAjJM8Y4Nu%2FyleHmQ0g3re%2Fw9vtpi4%2FzDoGzul8OTd058uE%2BCF0zyOOw22bSeFLQiav9aYUtFczKriwa5LZhXWEmgLaAzsi4%2BV5l%2BeTteGZ%2BQTbN48gaX3uKd%2FRY2ay1CYJRgDdeKsbA47VAK%2F15nCCwhnKoA752BBWHNGfGE6k%2Bba%2FsSNqX99itQv%2BCm%2Fo7UHS7HGaHXQQFfqf2GR%2Bl%2FTRA6YB2LY2oE1jLY5UHF5ci3YfloCnzZpnTFOSJMOZL93bc4Tj3PniRt4FlohTrhEwrIvu0gY6sQEmLVUBaf%2FUxfICm1rYgM87WT9iAthIEtTEWsuzGOVahFaPtvk5naAXnLyk3WDR1taj3HUDotDcTNwYqY%2FbB5zbriwLe7Cg95HsdQ6i9pghnlwha7kDCXYfVrplXG5j12vQcNrRkPv0pBAFx3rnvKCU%2BrxR1Qf1IPKpju3guCvft3O6bKCWKMVclDudOSWOTW6p%2BUzKeXqUTd3mnJ%2BwtYCL8u%2BDweEcBoV7nT5Cg0YpGlc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UTV5HYF7Z%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260718T140704Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=966e5104f2d512366ed0c8df565ad9d2d4a8948d700beb8bb4bfa0e4635a91f5\" 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}]}}