{"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=IQoJb3JpZ2luX2VjEN7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCh%2FisrtfcLkS9tP8V7NH2PBT2CeycXJJcxYR%2F4gtNLtgIgFbTuBUqbKQGDHL7ZtVi%2BvWmvPYJnZae%2BH%2BaKan1RSLkqwgUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDFv6z61RT5k4M07OUiqWBUhGi4c%2BQWbYb3qMVzPVxHmWeUhKa%2FoHAQmR58OhLHVLgdxHxKTI7pzddb9ydqXjTfAlp5lg%2BPd7%2FahEl6x3mX%2BVoS1WVtlAR82NxZSGJP%2F3oIbw2JekT2zH1An4rJNx7Ip4I4q4md2V1YwFH%2B%2Fo676PHEjovCiADVdddmf2UfTibxwcbfs8AQulvB8fkfYlEnPyHRz5RjcuFXaWM4h9c%2F3UHWrO%2F%2FIGEr0gzYdETvU22pc6HiDgSRF6rHu9cud7y45VC2vcVYvYEqIcrJJ9BFFW8rqhGETUz94oVGInMYXZcLg3OPUaVe7ng5eKT7TL7ifIoTsIlMO51wDUB%2BeeU3ycHRcpDED8phAR%2BUB6oCmE2gseId4zi%2FQLVO%2Bl0ArOyRh384fn3%2BAGY3z2LTVheDPZFBR7xBy%2Fg3M8Ker%2F0xMMuYTu7hYtPdR5DKgL7%2Bn8x%2Bq%2BWypuimeCeJ%2B%2Fh5alPzwLaKIkNGf%2BU%2Bvkt0c3pdF9L4%2FLgSs7vgElDiL6dXfVd06D48erVoblMsPrY4CZ7%2BjHvjGgTc3%2BVRT6osHQ1V3dXULSv8Aa4POcromkmzZLWDkfAUiJm7h4ya6cmezvUMJ0rrVMyRxv2nIHK8ezNWpuHNK03MsJ%2FuZMDJUxO1rJaeaZK4nkVM0MCRQ6V7D0LVm%2FS1Ah%2FMo5oH%2FJ%2BZZ%2Fcz1hQ9kXwHFDvSsG5kx7UqINZvCOv94gL6RWMSsmj%2F5fy%2B7jgZ0A75UmzDMU4gPBp%2BqU4XcBNQN%2B54qV%2B7JI4Ygl6VH7UFonpWUu33lLASg6xZWVR0co%2BWhNMc5IAa1LBkvecuHYOZFm8mTH%2FH%2Fcea%2Bq4V2OrFgBHVs%2B8q5j46i%2FMR9SL43ZqZbQ99Lf9SdXqQi2F3ymn2h0MPrQl9EGOrEBM5MSoR240PqHhJG0cqSIRAk60fYf33aF9ZOykeoWcWPbHFrl2yvonuGytBRWllYIYP778hkrBsBquVw726tbIiSDVsk26y6E9WUy10r%2F9DD30blaNnIh9mIaFeoLoWhbcR2lkzBdHYnmvV00LYigM7Wmpzdwkfqd9B0baZtBtD0uy77Xx90dnTGEPoFxjQiYGJxMIuCaRJHSym%2B9CzbUs%2Bf7otH8sGmwq%2BBAK6W6zQg%2F&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UXDK6WPWM%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260607T224959Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=18eb41ffe8e6a50236651db0c7ca05acfeed456338d3c38c88304e0a2d5794c7\" 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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=IQoJb3JpZ2luX2VjEN7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCh%2FisrtfcLkS9tP8V7NH2PBT2CeycXJJcxYR%2F4gtNLtgIgFbTuBUqbKQGDHL7ZtVi%2BvWmvPYJnZae%2BH%2BaKan1RSLkqwgUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDFv6z61RT5k4M07OUiqWBUhGi4c%2BQWbYb3qMVzPVxHmWeUhKa%2FoHAQmR58OhLHVLgdxHxKTI7pzddb9ydqXjTfAlp5lg%2BPd7%2FahEl6x3mX%2BVoS1WVtlAR82NxZSGJP%2F3oIbw2JekT2zH1An4rJNx7Ip4I4q4md2V1YwFH%2B%2Fo676PHEjovCiADVdddmf2UfTibxwcbfs8AQulvB8fkfYlEnPyHRz5RjcuFXaWM4h9c%2F3UHWrO%2F%2FIGEr0gzYdETvU22pc6HiDgSRF6rHu9cud7y45VC2vcVYvYEqIcrJJ9BFFW8rqhGETUz94oVGInMYXZcLg3OPUaVe7ng5eKT7TL7ifIoTsIlMO51wDUB%2BeeU3ycHRcpDED8phAR%2BUB6oCmE2gseId4zi%2FQLVO%2Bl0ArOyRh384fn3%2BAGY3z2LTVheDPZFBR7xBy%2Fg3M8Ker%2F0xMMuYTu7hYtPdR5DKgL7%2Bn8x%2Bq%2BWypuimeCeJ%2B%2Fh5alPzwLaKIkNGf%2BU%2Bvkt0c3pdF9L4%2FLgSs7vgElDiL6dXfVd06D48erVoblMsPrY4CZ7%2BjHvjGgTc3%2BVRT6osHQ1V3dXULSv8Aa4POcromkmzZLWDkfAUiJm7h4ya6cmezvUMJ0rrVMyRxv2nIHK8ezNWpuHNK03MsJ%2FuZMDJUxO1rJaeaZK4nkVM0MCRQ6V7D0LVm%2FS1Ah%2FMo5oH%2FJ%2BZZ%2Fcz1hQ9kXwHFDvSsG5kx7UqINZvCOv94gL6RWMSsmj%2F5fy%2B7jgZ0A75UmzDMU4gPBp%2BqU4XcBNQN%2B54qV%2B7JI4Ygl6VH7UFonpWUu33lLASg6xZWVR0co%2BWhNMc5IAa1LBkvecuHYOZFm8mTH%2FH%2Fcea%2Bq4V2OrFgBHVs%2B8q5j46i%2FMR9SL43ZqZbQ99Lf9SdXqQi2F3ymn2h0MPrQl9EGOrEBM5MSoR240PqHhJG0cqSIRAk60fYf33aF9ZOykeoWcWPbHFrl2yvonuGytBRWllYIYP778hkrBsBquVw726tbIiSDVsk26y6E9WUy10r%2F9DD30blaNnIh9mIaFeoLoWhbcR2lkzBdHYnmvV00LYigM7Wmpzdwkfqd9B0baZtBtD0uy77Xx90dnTGEPoFxjQiYGJxMIuCaRJHSym%2B9CzbUs%2Bf7otH8sGmwq%2BBAK6W6zQg%2F&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UXDK6WPWM%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260607T224959Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=18eb41ffe8e6a50236651db0c7ca05acfeed456338d3c38c88304e0a2d5794c7 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=IQoJb3JpZ2luX2VjEN7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQCh%2FisrtfcLkS9tP8V7NH2PBT2CeycXJJcxYR%2F4gtNLtgIgFbTuBUqbKQGDHL7ZtVi%2BvWmvPYJnZae%2BH%2BaKan1RSLkqwgUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDFv6z61RT5k4M07OUiqWBUhGi4c%2BQWbYb3qMVzPVxHmWeUhKa%2FoHAQmR58OhLHVLgdxHxKTI7pzddb9ydqXjTfAlp5lg%2BPd7%2FahEl6x3mX%2BVoS1WVtlAR82NxZSGJP%2F3oIbw2JekT2zH1An4rJNx7Ip4I4q4md2V1YwFH%2B%2Fo676PHEjovCiADVdddmf2UfTibxwcbfs8AQulvB8fkfYlEnPyHRz5RjcuFXaWM4h9c%2F3UHWrO%2F%2FIGEr0gzYdETvU22pc6HiDgSRF6rHu9cud7y45VC2vcVYvYEqIcrJJ9BFFW8rqhGETUz94oVGInMYXZcLg3OPUaVe7ng5eKT7TL7ifIoTsIlMO51wDUB%2BeeU3ycHRcpDED8phAR%2BUB6oCmE2gseId4zi%2FQLVO%2Bl0ArOyRh384fn3%2BAGY3z2LTVheDPZFBR7xBy%2Fg3M8Ker%2F0xMMuYTu7hYtPdR5DKgL7%2Bn8x%2Bq%2BWypuimeCeJ%2B%2Fh5alPzwLaKIkNGf%2BU%2Bvkt0c3pdF9L4%2FLgSs7vgElDiL6dXfVd06D48erVoblMsPrY4CZ7%2BjHvjGgTc3%2BVRT6osHQ1V3dXULSv8Aa4POcromkmzZLWDkfAUiJm7h4ya6cmezvUMJ0rrVMyRxv2nIHK8ezNWpuHNK03MsJ%2FuZMDJUxO1rJaeaZK4nkVM0MCRQ6V7D0LVm%2FS1Ah%2FMo5oH%2FJ%2BZZ%2Fcz1hQ9kXwHFDvSsG5kx7UqINZvCOv94gL6RWMSsmj%2F5fy%2B7jgZ0A75UmzDMU4gPBp%2BqU4XcBNQN%2B54qV%2B7JI4Ygl6VH7UFonpWUu33lLASg6xZWVR0co%2BWhNMc5IAa1LBkvecuHYOZFm8mTH%2FH%2Fcea%2Bq4V2OrFgBHVs%2B8q5j46i%2FMR9SL43ZqZbQ99Lf9SdXqQi2F3ymn2h0MPrQl9EGOrEBM5MSoR240PqHhJG0cqSIRAk60fYf33aF9ZOykeoWcWPbHFrl2yvonuGytBRWllYIYP778hkrBsBquVw726tbIiSDVsk26y6E9WUy10r%2F9DD30blaNnIh9mIaFeoLoWhbcR2lkzBdHYnmvV00LYigM7Wmpzdwkfqd9B0baZtBtD0uy77Xx90dnTGEPoFxjQiYGJxMIuCaRJHSym%2B9CzbUs%2Bf7otH8sGmwq%2BBAK6W6zQg%2F&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UXDK6WPWM%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260607T224959Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=156b2e1954a7a37432728d8d14852edbc01f6d9d784801633a54589d12faacb8\" 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}]}}