{"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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260428T023607Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=1b1799757fc4aa418b876780881b1606d50accc0424e665bbc5bde64fe5cda0b\" 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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260428T023607Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=1b1799757fc4aa418b876780881b1606d50accc0424e665bbc5bde64fe5cda0b 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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260428T023607Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=1ae02124ab8f6c85e6940986d9dd5807b9837cf52e0d90ead25c7a424887db7b\" 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}]}}