{"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=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJGMEQCIDXABANk3Du0iI%2BciNadBNorfy3LTxNOFggIDZnuZkFPAiBl%2BF3PT2UIiHKebZBJynwRM4Qb2blKAdV%2FvrrnJ%2F4rESq4BQgxEAUaDDI3MzU3MDE5NTQzMyIMq%2F%2BGnD4fpX4Spx19KpUFGH83dAHmK%2B0%2Bz5Puj9B9RAZEOKv9MgKAKH6kvNlJOGl4Hw4H4Xt%2BDn6Fq6ohAosUIbYaNe%2Bx89VkHEGE9fS%2FPKK%2B1vgjAlhaqRwmrWcau9JYJKOLEtkHeS8jEIozBIWDb74Q47J3MH3bcI1gRir7SM1Z4VFcInKCPhPcx2ZL2ILdY7%2BFR76IeBQlq1EVvJbE%2Bp7pkGRVZDiHGDgcRNML%2Fhn57tctluCiewemMiWMCFfLw%2Fu3u3wJNurG%2BzIvilivUuLdtqHSMol5YOcBJaKmKxGayTpRHAaH6pBlM1E7vpxPgi4kVDDLwHBI7uCa2nZ2%2Bhkk8NZfUs5d8L7YoqTsgFB5B0SXcAjpKJaAk9Yeh%2B7gXZh0ag9ezid3XISRWpxjnHDk9FjgV676MR4V3MZV8Y73mKB5PcAKzRTyvx7vMGAsQvfh06uhZ6ASLBeP79zpnpDwt%2F81Io5fu3%2BgYHgzykqj%2Fu3S1Vzg0w1M3bIoEjOU3xHYRFyIIQM6uxPcLzh1BQuz5%2BJxk1tKAICcjbHNyTrbmf%2F30%2B4HeCU5eCgzpgSEBIk8H2HFaJlS5ZtyRPp1I4dLFrBF%2FjicGO9muuR%2Fq%2FgMr76yxqS2sA40h%2B2V%2FTAVd82QNh2OL7RoOkEmZd6JRthHzRejOpJ0K9RAcmCNQ75REtvfT5l35bCXpyyscoIf6gaxgs0KwDBjZ4giMjb%2B5APY4egpWM7BvVO%2F4twvrPuYoWg%2FrhyAHEwQQuLdNYKPQ75k30DeTpi4C1MqWSwGbJ2LZsWMo%2FfTFhfUzWe15tOoUMJ4L9lDI22RBbYmLdE0CilQZyekbXkhGeVY7NaNFr3FoZ5%2BwzVEQ5qLy629Cfd4SKRRalU7BITNQXcXfFnBnCP2ejDq2qDWBjqyAVJz5BGCTR3s%2Bx3HqsrWoISS6uR9SEOoInHpPPitb5YzgaqIvKZkXsn2WVfvRjG04Vqp63QdvBu5IcS%2FaIiuV8n92N%2B9RSuADZXBcBjemRkui3DSSybV4wMfNSnhovpu97J5Pnm42wX3bZyw9ymGcupoMSosy43Wk55LmgLFuhEH%2BeCelNPu5cTQlZYuNocQa%2B754rgE1rheCYncXL4FdYZXaalwtDPRYAQlfmmI2Lb1uEg%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UV2HEWAHZ%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261009T002701Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=5492dc1acc73517ffdf8d7543733e4ed4d33235f8a8f16b459254fc3b218c278\" 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=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJGMEQCIDXABANk3Du0iI%2BciNadBNorfy3LTxNOFggIDZnuZkFPAiBl%2BF3PT2UIiHKebZBJynwRM4Qb2blKAdV%2FvrrnJ%2F4rESq4BQgxEAUaDDI3MzU3MDE5NTQzMyIMq%2F%2BGnD4fpX4Spx19KpUFGH83dAHmK%2B0%2Bz5Puj9B9RAZEOKv9MgKAKH6kvNlJOGl4Hw4H4Xt%2BDn6Fq6ohAosUIbYaNe%2Bx89VkHEGE9fS%2FPKK%2B1vgjAlhaqRwmrWcau9JYJKOLEtkHeS8jEIozBIWDb74Q47J3MH3bcI1gRir7SM1Z4VFcInKCPhPcx2ZL2ILdY7%2BFR76IeBQlq1EVvJbE%2Bp7pkGRVZDiHGDgcRNML%2Fhn57tctluCiewemMiWMCFfLw%2Fu3u3wJNurG%2BzIvilivUuLdtqHSMol5YOcBJaKmKxGayTpRHAaH6pBlM1E7vpxPgi4kVDDLwHBI7uCa2nZ2%2Bhkk8NZfUs5d8L7YoqTsgFB5B0SXcAjpKJaAk9Yeh%2B7gXZh0ag9ezid3XISRWpxjnHDk9FjgV676MR4V3MZV8Y73mKB5PcAKzRTyvx7vMGAsQvfh06uhZ6ASLBeP79zpnpDwt%2F81Io5fu3%2BgYHgzykqj%2Fu3S1Vzg0w1M3bIoEjOU3xHYRFyIIQM6uxPcLzh1BQuz5%2BJxk1tKAICcjbHNyTrbmf%2F30%2B4HeCU5eCgzpgSEBIk8H2HFaJlS5ZtyRPp1I4dLFrBF%2FjicGO9muuR%2Fq%2FgMr76yxqS2sA40h%2B2V%2FTAVd82QNh2OL7RoOkEmZd6JRthHzRejOpJ0K9RAcmCNQ75REtvfT5l35bCXpyyscoIf6gaxgs0KwDBjZ4giMjb%2B5APY4egpWM7BvVO%2F4twvrPuYoWg%2FrhyAHEwQQuLdNYKPQ75k30DeTpi4C1MqWSwGbJ2LZsWMo%2FfTFhfUzWe15tOoUMJ4L9lDI22RBbYmLdE0CilQZyekbXkhGeVY7NaNFr3FoZ5%2BwzVEQ5qLy629Cfd4SKRRalU7BITNQXcXfFnBnCP2ejDq2qDWBjqyAVJz5BGCTR3s%2Bx3HqsrWoISS6uR9SEOoInHpPPitb5YzgaqIvKZkXsn2WVfvRjG04Vqp63QdvBu5IcS%2FaIiuV8n92N%2B9RSuADZXBcBjemRkui3DSSybV4wMfNSnhovpu97J5Pnm42wX3bZyw9ymGcupoMSosy43Wk55LmgLFuhEH%2BeCelNPu5cTQlZYuNocQa%2B754rgE1rheCYncXL4FdYZXaalwtDPRYAQlfmmI2Lb1uEg%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UV2HEWAHZ%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20261009T002701Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=5492dc1acc73517ffdf8d7543733e4ed4d33235f8a8f16b459254fc3b218c278 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=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJGMEQCIDXABANk3Du0iI%2BciNadBNorfy3LTxNOFggIDZnuZkFPAiBl%2BF3PT2UIiHKebZBJynwRM4Qb2blKAdV%2FvrrnJ%2F4rESq4BQgxEAUaDDI3MzU3MDE5NTQzMyIMq%2F%2BGnD4fpX4Spx19KpUFGH83dAHmK%2B0%2Bz5Puj9B9RAZEOKv9MgKAKH6kvNlJOGl4Hw4H4Xt%2BDn6Fq6ohAosUIbYaNe%2Bx89VkHEGE9fS%2FPKK%2B1vgjAlhaqRwmrWcau9JYJKOLEtkHeS8jEIozBIWDb74Q47J3MH3bcI1gRir7SM1Z4VFcInKCPhPcx2ZL2ILdY7%2BFR76IeBQlq1EVvJbE%2Bp7pkGRVZDiHGDgcRNML%2Fhn57tctluCiewemMiWMCFfLw%2Fu3u3wJNurG%2BzIvilivUuLdtqHSMol5YOcBJaKmKxGayTpRHAaH6pBlM1E7vpxPgi4kVDDLwHBI7uCa2nZ2%2Bhkk8NZfUs5d8L7YoqTsgFB5B0SXcAjpKJaAk9Yeh%2B7gXZh0ag9ezid3XISRWpxjnHDk9FjgV676MR4V3MZV8Y73mKB5PcAKzRTyvx7vMGAsQvfh06uhZ6ASLBeP79zpnpDwt%2F81Io5fu3%2BgYHgzykqj%2Fu3S1Vzg0w1M3bIoEjOU3xHYRFyIIQM6uxPcLzh1BQuz5%2BJxk1tKAICcjbHNyTrbmf%2F30%2B4HeCU5eCgzpgSEBIk8H2HFaJlS5ZtyRPp1I4dLFrBF%2FjicGO9muuR%2Fq%2FgMr76yxqS2sA40h%2B2V%2FTAVd82QNh2OL7RoOkEmZd6JRthHzRejOpJ0K9RAcmCNQ75REtvfT5l35bCXpyyscoIf6gaxgs0KwDBjZ4giMjb%2B5APY4egpWM7BvVO%2F4twvrPuYoWg%2FrhyAHEwQQuLdNYKPQ75k30DeTpi4C1MqWSwGbJ2LZsWMo%2FfTFhfUzWe15tOoUMJ4L9lDI22RBbYmLdE0CilQZyekbXkhGeVY7NaNFr3FoZ5%2BwzVEQ5qLy629Cfd4SKRRalU7BITNQXcXfFnBnCP2ejDq2qDWBjqyAVJz5BGCTR3s%2Bx3HqsrWoISS6uR9SEOoInHpPPitb5YzgaqIvKZkXsn2WVfvRjG04Vqp63QdvBu5IcS%2FaIiuV8n92N%2B9RSuADZXBcBjemRkui3DSSybV4wMfNSnhovpu97J5Pnm42wX3bZyw9ymGcupoMSosy43Wk55LmgLFuhEH%2BeCelNPu5cTQlZYuNocQa%2B754rgE1rheCYncXL4FdYZXaalwtDPRYAQlfmmI2Lb1uEg%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UV2HEWAHZ%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261009T002701Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=4400c460fb7f71535d8035a8f767575f418850c28f53ba9ee184aedb5eb6ccfb\" 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}]}}