{"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=IQoJb3JpZ2luX2VjEMX%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJGMEQCICRQaTJ8Earq0AbU3Q8f41BiINLJ9edg2EFLoWqMuOgeAiAaMLgk0RD2%2BiaxmTnHp7Wis1KZYNShCwCrpBajdqxpZCrBBQiO%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAUaDDI3MzU3MDE5NTQzMyIMsXpVNK5CiQ%2BPH%2Fl2KpUF2vMfyT2DPxQQ61bfAWr%2BNG4IIN2G6u%2BvwVzXrUejjs%2Fu%2FvR4OWhDXdCXXO3B48rtWqW%2BtMTAwlJVwH15i8iuTx12%2BMclE1r5kADnEO5pL7mUxgd3iqBWJEXGBe3oTIuudmYlKQg8%2BVTSvLZVs%2BQHNj6ZLVWhUNfsv4BoWRabJ9AZ%2F5Enk2eb5wjBEKwI3EJ2WPnmQDAx7IsEemoKFNVzBQmyVUpJEXYe%2FPNF9UoIzBbDxCbBk1HgVOy9ErfaeKTYJxNjKMGTC%2Ft%2BrZYUQyIz%2BCm%2B8F4WsvNi5npucH7gFY7ywu3kK93wj95K3WuuGL5blYzHT3D0Uh%2Bb9wo5CI5mYJRfLaE6y%2B2oZpe2PbN8Y%2B6ZW4k7U54DMiWxn%2BXICpuj2jgWuuSADQ9TMg2RLRo%2FMdzaHrvEkJvJtD4Ah7jMgwP8g%2FPSowbXIlpxwIRg753QHpz1TaYROjD%2B%2BJXYAQ8hAcLQoCEtEQLwxUczntSvxHQHgBwln6ovzxH0EW%2B1XO4yEo%2FfILxYpbcN5OkPtspzNIfm1bQRjKgRnbbIuRSmvY5MuwubmTINDRyaoR%2F7%2BH1Cc5X%2BvTwFjlLAfzsOqRqH%2BDCf2wgTkG8QHUZkzDt7GIV47fNUHa5wonun9zFJSjrOAbNj6lk8ory2k2bdip%2F4xV4ZT1wtEzo2czKwsNm15WGHshnDssxjvQ641IyzghBdlwnwgGyco3G3kcidIeZnBG9yP7xjzCVJ%2B8x%2F%2BCRk2yFphX31iGOHA9hp3L73v26Es0RbqoLTCBjVl%2FbdBJ6or1pLWcBQrDkA893lRe8O%2BkZmO9fKc73Gqa828SRSzM6Kxh%2FEGELe851DDQBmHdlEQQf%2FGh1T579Th1uypMrOFTErDrxVFTDcz4LSBjqyAXZgtW2P9l1Gt7YVSiqXH5d54m2GmxSfcWjrm5iw4KkfmHiS8bikWaF45FNd%2BI8fkouj%2FmV7hAJYMK5CGPI%2BrdOKLFig03BnZrmSjOUeQac2SAAVi%2Bxot%2B%2Fs2F%2F1332F5%2F%2FtmU4S1J%2BhnqOEwToDxnQ%2Bz8v6IQBuwwOP47s5PmegGMG6tqgF7glh8l7DyJVa%2FkM4KFcuyIW1ZlTt6JD7PNq6TFpQIsohgp7bMY4jfMXewNc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47USMMWBMOQ%2F20260628%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260628T045351Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=a8b93402da21f06401ca14ee1e43d3db3a8daaa2452b4b57a00b401672fd6c1e\" 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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=IQoJb3JpZ2luX2VjEMX%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJGMEQCICRQaTJ8Earq0AbU3Q8f41BiINLJ9edg2EFLoWqMuOgeAiAaMLgk0RD2%2BiaxmTnHp7Wis1KZYNShCwCrpBajdqxpZCrBBQiO%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAUaDDI3MzU3MDE5NTQzMyIMsXpVNK5CiQ%2BPH%2Fl2KpUF2vMfyT2DPxQQ61bfAWr%2BNG4IIN2G6u%2BvwVzXrUejjs%2Fu%2FvR4OWhDXdCXXO3B48rtWqW%2BtMTAwlJVwH15i8iuTx12%2BMclE1r5kADnEO5pL7mUxgd3iqBWJEXGBe3oTIuudmYlKQg8%2BVTSvLZVs%2BQHNj6ZLVWhUNfsv4BoWRabJ9AZ%2F5Enk2eb5wjBEKwI3EJ2WPnmQDAx7IsEemoKFNVzBQmyVUpJEXYe%2FPNF9UoIzBbDxCbBk1HgVOy9ErfaeKTYJxNjKMGTC%2Ft%2BrZYUQyIz%2BCm%2B8F4WsvNi5npucH7gFY7ywu3kK93wj95K3WuuGL5blYzHT3D0Uh%2Bb9wo5CI5mYJRfLaE6y%2B2oZpe2PbN8Y%2B6ZW4k7U54DMiWxn%2BXICpuj2jgWuuSADQ9TMg2RLRo%2FMdzaHrvEkJvJtD4Ah7jMgwP8g%2FPSowbXIlpxwIRg753QHpz1TaYROjD%2B%2BJXYAQ8hAcLQoCEtEQLwxUczntSvxHQHgBwln6ovzxH0EW%2B1XO4yEo%2FfILxYpbcN5OkPtspzNIfm1bQRjKgRnbbIuRSmvY5MuwubmTINDRyaoR%2F7%2BH1Cc5X%2BvTwFjlLAfzsOqRqH%2BDCf2wgTkG8QHUZkzDt7GIV47fNUHa5wonun9zFJSjrOAbNj6lk8ory2k2bdip%2F4xV4ZT1wtEzo2czKwsNm15WGHshnDssxjvQ641IyzghBdlwnwgGyco3G3kcidIeZnBG9yP7xjzCVJ%2B8x%2F%2BCRk2yFphX31iGOHA9hp3L73v26Es0RbqoLTCBjVl%2FbdBJ6or1pLWcBQrDkA893lRe8O%2BkZmO9fKc73Gqa828SRSzM6Kxh%2FEGELe851DDQBmHdlEQQf%2FGh1T579Th1uypMrOFTErDrxVFTDcz4LSBjqyAXZgtW2P9l1Gt7YVSiqXH5d54m2GmxSfcWjrm5iw4KkfmHiS8bikWaF45FNd%2BI8fkouj%2FmV7hAJYMK5CGPI%2BrdOKLFig03BnZrmSjOUeQac2SAAVi%2Bxot%2B%2Fs2F%2F1332F5%2F%2FtmU4S1J%2BhnqOEwToDxnQ%2Bz8v6IQBuwwOP47s5PmegGMG6tqgF7glh8l7DyJVa%2FkM4KFcuyIW1ZlTt6JD7PNq6TFpQIsohgp7bMY4jfMXewNc%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47USMMWBMOQ%2F20260628%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260628T045351Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=a8b93402da21f06401ca14ee1e43d3db3a8daaa2452b4b57a00b401672fd6c1e 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=IQoJb3JpZ2luX2VjEMX%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJGMEQCICRQaTJ8Earq0AbU3Q8f41BiINLJ9edg2EFLoWqMuOgeAiAaMLgk0RD2%2BiaxmTnHp7Wis1KZYNShCwCrpBajdqxpZCrBBQiO%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAUaDDI3MzU3MDE5NTQzMyIMsXpVNK5CiQ%2BPH%2Fl2KpUF2vMfyT2DPxQQ61bfAWr%2BNG4IIN2G6u%2BvwVzXrUejjs%2Fu%2FvR4OWhDXdCXXO3B48rtWqW%2BtMTAwlJVwH15i8iuTx12%2BMclE1r5kADnEO5pL7mUxgd3iqBWJEXGBe3oTIuudmYlKQg8%2BVTSvLZVs%2BQHNj6ZLVWhUNfsv4BoWRabJ9AZ%2F5Enk2eb5wjBEKwI3EJ2WPnmQDAx7IsEemoKFNVzBQmyVUpJEXYe%2FPNF9UoIzBbDxCbBk1HgVOy9ErfaeKTYJxNjKMGTC%2Ft%2BrZYUQyIz%2BCm%2B8F4WsvNi5npucH7gFY7ywu3kK93wj95K3WuuGL5blYzHT3D0Uh%2Bb9wo5CI5mYJRfLaE6y%2B2oZpe2PbN8Y%2B6ZW4k7U54DMiWxn%2BXICpuj2jgWuuSADQ9TMg2RLRo%2FMdzaHrvEkJvJtD4Ah7jMgwP8g%2FPSowbXIlpxwIRg753QHpz1TaYROjD%2B%2BJXYAQ8hAcLQoCEtEQLwxUczntSvxHQHgBwln6ovzxH0EW%2B1XO4yEo%2FfILxYpbcN5OkPtspzNIfm1bQRjKgRnbbIuRSmvY5MuwubmTINDRyaoR%2F7%2BH1Cc5X%2BvTwFjlLAfzsOqRqH%2BDCf2wgTkG8QHUZkzDt7GIV47fNUHa5wonun9zFJSjrOAbNj6lk8ory2k2bdip%2F4xV4ZT1wtEzo2czKwsNm15WGHshnDssxjvQ641IyzghBdlwnwgGyco3G3kcidIeZnBG9yP7xjzCVJ%2B8x%2F%2BCRk2yFphX31iGOHA9hp3L73v26Es0RbqoLTCBjVl%2FbdBJ6or1pLWcBQrDkA893lRe8O%2BkZmO9fKc73Gqa828SRSzM6Kxh%2FEGELe851DDQBmHdlEQQf%2FGh1T579Th1uypMrOFTErDrxVFTDcz4LSBjqyAXZgtW2P9l1Gt7YVSiqXH5d54m2GmxSfcWjrm5iw4KkfmHiS8bikWaF45FNd%2BI8fkouj%2FmV7hAJYMK5CGPI%2BrdOKLFig03BnZrmSjOUeQac2SAAVi%2Bxot%2B%2Fs2F%2F1332F5%2F%2FtmU4S1J%2BhnqOEwToDxnQ%2Bz8v6IQBuwwOP47s5PmegGMG6tqgF7glh8l7DyJVa%2FkM4KFcuyIW1ZlTt6JD7PNq6TFpQIsohgp7bMY4jfMXewNc%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47USMMWBMOQ%2F20260628%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260628T045351Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=ffe106b46446c9b3634dba374d08de7126d112d7f3ac19cf71eef97bcdaf20ce\" 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}]}}