{"id":917,"date":"2018-02-20T15:00:14","date_gmt":"2018-02-20T07:00:14","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=917"},"modified":"2018-02-20T15:00:14","modified_gmt":"2018-02-20T07:00:14","slug":"acceleration-due-to-gravity-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/acceleration-due-to-gravity-problems-and-solutions.htm","title":{"rendered":"Acceleration due to gravity \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. What is the acceleration due to gravity<\/a> at the Moon’s surface? Moon’s mass<\/a> = 7.35 x 10<\/span><\/span>22<\/span><\/span><\/sup> kg, the radius of the Moon is <\/span><\/span>1.7 x 10<\/span><\/span>6<\/span><\/span><\/sup> m, universal constant is <\/span><\/span>6.67 x 10<\/span><\/span>-11<\/span><\/span><\/sup> N m<\/span><\/span>2<\/span><\/span><\/sup> \/ kg<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

Solution<\/span><\/span><\/p>\n

The formula of Newton’s second law of motion<\/a> :<\/span><\/span><\/p>\n

\"Acceleration<\/p>\n

The formula of Newton’s law of universal gravitation<\/a> : <\/span><\/span><\/p>\n

\"Acceleration<\/p>\n

G = universal constant, M = Earth’s mass, m = object’s mass, r = the distance between Earth’s center and object. If the object is at Earth’s surface, r = Earth’s radius<\/i><\/span><\/span><\/p>\n

Substitute F in equation 1 with F in equation 2 :<\/span><\/span><\/p>\n

\"Acceleration<\/p>\n

What is the acceleration due to gravity at the Moon’s surface?<\/span><\/span><\/p>\n

\"Acceleration<\/p>\n\n

2. Acceleration due to gravity at Earth’s surface is g. At R (R is Earth’s surface), the acceleration due to gravity is…<\/span><\/span><\/p>\n

Solution<\/span><\/span><\/p>\n

\"Acceleration<\/p>\n

R = Earth’s radius. At R above Earth’s surface = at 2R above Earth’s center. <\/span><\/span><\/i><\/p>\n

\"Acceleration<\/p>\n

At R above Earth’s surface, the acceleration due to gravity = \u00bc g. If g = 9.8 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, at <\/span><\/span>R above Earth’s surface, acceleration due to gravity = 2.45 m\/s<\/span><\/span>2<\/span><\/span><\/sup>. <\/span><\/span><\/p>\n

[wpdm_package id=’947′]<\/p>\n

    \n
  1. Newton’s law of universal gravitation problems and solutions<\/a><\/li>\n
  2. Gravitational force, weight problems, and solutions<\/a><\/li>\n
  3. Acceleration due to gravity problems and solutions<\/a><\/li>\n
  4. Geosynchronous satellite problems and solutions<\/a><\/li>\n
  5. Kepler’s law problems and solutions problems and solutions<\/a><\/li>\n<\/ol>\n

    <\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

    1. What is the acceleration due to gravity at the Moon’s surface? Moon’s mass = 7.35 x 1022 kg, the radius of the Moon is 1.7 x 106 m, universal constant is 6.67 x 10-11 N m2 \/ kg2 Solution The formula of Newton’s second law of motion : The formula of Newton’s law of … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Acceleration due to gravity \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-917","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/917","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=917"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/917\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=917"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=917"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=917"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}