{"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=IQoJb3JpZ2luX2VjEKD%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIFGTYH72vUmmrvnD0XhFg8vyQw59TlNmY%2BDvWVYVgppkAiEAt3bGbv%2FMtcui%2FkPRw0xL4eluZcxzvKiRjF5l2%2FnLy%2F0quQUIaRAFGgwyNzM1NzAxOTU0MzMiDCr%2Bt8gAnmwv4DTB6SqWBYvg%2BNgfz7CFcQuPjt0FK0JkQQ86gMThEO7AHllk1%2FLzLygGVKZqQXluVrRai8UwhDBkt56GHuSHP0bb2qEUWA8nEPXQGK7XvmL5SDEKjzN9q7dfKqBMji6SsnRwrMvPpBmKMzXohQdkKv0s6QeUTYUDh5D3H%2Bsz1UdSMlF2pj0i0KYpu5d9EEtjIdEJdo6wnCqsvb74nmBvOeQ%2F8ADqsIwMWGsu6F7vMICq%2BPMQKNdvPW95Qr2syvYJQsywe32kuQN1l6OzUB1DsOZsbeFXKZB3yW0L21vlrPlPasjV9v2DuiG47PaHadYL2q5Y78j0dZgFRjH%2FCUjEJVljPQH7zTJhDG7llnTz6wTguWqQcdD4rNe0oM%2F8whszD%2Fi%2BWcnV3TewEhHhf12QjHvudbun6PcAUzCp2KzFncTswwiPaTBDxQ7rmhZJtRy5HvyOcNBobHYaoqdGCEYz9fW%2FiXc2jZ5NfQEo4vpFBZCKhNSzwKvotCi3fgSfe4R6rg33oeDmDmM9jbHN5Sk%2FzxOrmitRf5l7GSGsb7fxoR1ye9Ohb0u2mzbscXkMcKpfe0k7L5UjzgwPCGVahW4FjpNVnjfcIVyyAMLyzguIZ99xrXV8mL3s3OgiKtCB%2B98lScMWqNY6nwfwOdxfmteyU%2FPdI1CDVPyi8JSq5Azef4l6FM45Ct0gCtAplrIWdNx1ysIIj1udKoQ%2BCfJGYsxjbLQnW%2FfayH7wiy6OdX3w53EBngXTP2kXCiRc67KDZOTgKotRMpOZ4VgMpNPSBog7KektGG4n5ERNBHxKbVPJUebD8KqZjggMXVhGX6SfCr10DTY8H1S8872uJvOUlJiMrySgwxAVajLA2JCTRCj5DFHvOwfktC8hxmw0TxYlMO%2FB29MGOrEBPmKmMfZUcWFMraPM8qsIfMUix1nsqNYq151GIMGbwED4iHjJ7m%2FJSo497vPpp9N2ZbPctLGnDYY%2FSOJFB90WOCHVnlpS935USzC9QvQi1EfpcmrboPuZckEHHFRJ8jRS7Udu86iX2wZs9RRTdNb8UDB6b%2Fy%2FU0fnrILWcUVcHzI2tvlP5gh94mb4J7DSYPMoFVAfNR%2FdGi2yYQEqnZVScsdeRTiAf8%2BiJJZzlofHe2Zc&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UYBPTEFSL%2F20260808%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260808T081249Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=088f34e693e9343eac9430f0032f355526dab3276a49952fcd915d536e4bb7ee\" 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=IQoJb3JpZ2luX2VjEKD%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIFGTYH72vUmmrvnD0XhFg8vyQw59TlNmY%2BDvWVYVgppkAiEAt3bGbv%2FMtcui%2FkPRw0xL4eluZcxzvKiRjF5l2%2FnLy%2F0quQUIaRAFGgwyNzM1NzAxOTU0MzMiDCr%2Bt8gAnmwv4DTB6SqWBYvg%2BNgfz7CFcQuPjt0FK0JkQQ86gMThEO7AHllk1%2FLzLygGVKZqQXluVrRai8UwhDBkt56GHuSHP0bb2qEUWA8nEPXQGK7XvmL5SDEKjzN9q7dfKqBMji6SsnRwrMvPpBmKMzXohQdkKv0s6QeUTYUDh5D3H%2Bsz1UdSMlF2pj0i0KYpu5d9EEtjIdEJdo6wnCqsvb74nmBvOeQ%2F8ADqsIwMWGsu6F7vMICq%2BPMQKNdvPW95Qr2syvYJQsywe32kuQN1l6OzUB1DsOZsbeFXKZB3yW0L21vlrPlPasjV9v2DuiG47PaHadYL2q5Y78j0dZgFRjH%2FCUjEJVljPQH7zTJhDG7llnTz6wTguWqQcdD4rNe0oM%2F8whszD%2Fi%2BWcnV3TewEhHhf12QjHvudbun6PcAUzCp2KzFncTswwiPaTBDxQ7rmhZJtRy5HvyOcNBobHYaoqdGCEYz9fW%2FiXc2jZ5NfQEo4vpFBZCKhNSzwKvotCi3fgSfe4R6rg33oeDmDmM9jbHN5Sk%2FzxOrmitRf5l7GSGsb7fxoR1ye9Ohb0u2mzbscXkMcKpfe0k7L5UjzgwPCGVahW4FjpNVnjfcIVyyAMLyzguIZ99xrXV8mL3s3OgiKtCB%2B98lScMWqNY6nwfwOdxfmteyU%2FPdI1CDVPyi8JSq5Azef4l6FM45Ct0gCtAplrIWdNx1ysIIj1udKoQ%2BCfJGYsxjbLQnW%2FfayH7wiy6OdX3w53EBngXTP2kXCiRc67KDZOTgKotRMpOZ4VgMpNPSBog7KektGG4n5ERNBHxKbVPJUebD8KqZjggMXVhGX6SfCr10DTY8H1S8872uJvOUlJiMrySgwxAVajLA2JCTRCj5DFHvOwfktC8hxmw0TxYlMO%2FB29MGOrEBPmKmMfZUcWFMraPM8qsIfMUix1nsqNYq151GIMGbwED4iHjJ7m%2FJSo497vPpp9N2ZbPctLGnDYY%2FSOJFB90WOCHVnlpS935USzC9QvQi1EfpcmrboPuZckEHHFRJ8jRS7Udu86iX2wZs9RRTdNb8UDB6b%2Fy%2FU0fnrILWcUVcHzI2tvlP5gh94mb4J7DSYPMoFVAfNR%2FdGi2yYQEqnZVScsdeRTiAf8%2BiJJZzlofHe2Zc&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UYBPTEFSL%2F20260808%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260808T081249Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=088f34e693e9343eac9430f0032f355526dab3276a49952fcd915d536e4bb7ee 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=IQoJb3JpZ2luX2VjEKD%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIFGTYH72vUmmrvnD0XhFg8vyQw59TlNmY%2BDvWVYVgppkAiEAt3bGbv%2FMtcui%2FkPRw0xL4eluZcxzvKiRjF5l2%2FnLy%2F0quQUIaRAFGgwyNzM1NzAxOTU0MzMiDCr%2Bt8gAnmwv4DTB6SqWBYvg%2BNgfz7CFcQuPjt0FK0JkQQ86gMThEO7AHllk1%2FLzLygGVKZqQXluVrRai8UwhDBkt56GHuSHP0bb2qEUWA8nEPXQGK7XvmL5SDEKjzN9q7dfKqBMji6SsnRwrMvPpBmKMzXohQdkKv0s6QeUTYUDh5D3H%2Bsz1UdSMlF2pj0i0KYpu5d9EEtjIdEJdo6wnCqsvb74nmBvOeQ%2F8ADqsIwMWGsu6F7vMICq%2BPMQKNdvPW95Qr2syvYJQsywe32kuQN1l6OzUB1DsOZsbeFXKZB3yW0L21vlrPlPasjV9v2DuiG47PaHadYL2q5Y78j0dZgFRjH%2FCUjEJVljPQH7zTJhDG7llnTz6wTguWqQcdD4rNe0oM%2F8whszD%2Fi%2BWcnV3TewEhHhf12QjHvudbun6PcAUzCp2KzFncTswwiPaTBDxQ7rmhZJtRy5HvyOcNBobHYaoqdGCEYz9fW%2FiXc2jZ5NfQEo4vpFBZCKhNSzwKvotCi3fgSfe4R6rg33oeDmDmM9jbHN5Sk%2FzxOrmitRf5l7GSGsb7fxoR1ye9Ohb0u2mzbscXkMcKpfe0k7L5UjzgwPCGVahW4FjpNVnjfcIVyyAMLyzguIZ99xrXV8mL3s3OgiKtCB%2B98lScMWqNY6nwfwOdxfmteyU%2FPdI1CDVPyi8JSq5Azef4l6FM45Ct0gCtAplrIWdNx1ysIIj1udKoQ%2BCfJGYsxjbLQnW%2FfayH7wiy6OdX3w53EBngXTP2kXCiRc67KDZOTgKotRMpOZ4VgMpNPSBog7KektGG4n5ERNBHxKbVPJUebD8KqZjggMXVhGX6SfCr10DTY8H1S8872uJvOUlJiMrySgwxAVajLA2JCTRCj5DFHvOwfktC8hxmw0TxYlMO%2FB29MGOrEBPmKmMfZUcWFMraPM8qsIfMUix1nsqNYq151GIMGbwED4iHjJ7m%2FJSo497vPpp9N2ZbPctLGnDYY%2FSOJFB90WOCHVnlpS935USzC9QvQi1EfpcmrboPuZckEHHFRJ8jRS7Udu86iX2wZs9RRTdNb8UDB6b%2Fy%2FU0fnrILWcUVcHzI2tvlP5gh94mb4J7DSYPMoFVAfNR%2FdGi2yYQEqnZVScsdeRTiAf8%2BiJJZzlofHe2Zc&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UYBPTEFSL%2F20260808%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260808T081249Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=42616f3cf92832d3758c720a92483b075bbb55f77811548cc57c4f4816296064\" 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}]}}