{"id":3066,"date":"2022-05-06T19:47:04","date_gmt":"2022-05-06T19:47:04","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=3066"},"modified":"2022-05-06T19:47:04","modified_gmt":"2022-05-06T19:47:04","slug":"gravity-formula","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/05\/06\/gravity-formula\/","title":{"rendered":"Gravity Formula"},"content":{"rendered":"\n<p>We know gravity is the fundamental force and is the elemental concept of Physics. Gravity or gravitational force is the contribution of the great scientist Sir Isaac Newton. We know that dropping an apple from a tree was the reason for the inception of the Law of Universal Gravitation. In this session, let us learn about the gravity formula and its application.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Gravity or Gravitation Formula<\/h2>\n\n\n\n<p>Gravity also termed as gravitation, is a force that occurs among all material objects in the universe. For any two objects or units having non-zero mass, the force of gravity has a tendency to attract them toward each other.&nbsp;Newton\u2019s Law of Universal Gravitation states that:<\/p>\n\n\n\n<p><em><strong>\u201cEvery particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them\u201d.<\/strong><\/em><\/p>\n\n\n\n<p>If the distance between two masses&nbsp;<strong>m<sub>1<\/sub>&nbsp;<\/strong>and&nbsp;<strong>m<sub>2<\/sub>&nbsp;<\/strong>is&nbsp;<strong>d,&nbsp;<\/strong>then the gravity formula is articulated as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?F=\\frac{Gm_{1}m_{2}}{r^{2}}\" alt=\"Gravity formula\" title=\"Gravity formula\"\/><\/figure>\n\n\n\n<p>Where,<\/p>\n\n\n\n<ul><li>G is a constant equal to 6.67&nbsp;\u00d7&nbsp;10<sup>-11<\/sup>&nbsp;N-m<sup>2<\/sup>\/kg<sup>2<\/sup><\/li><li>m<sub>1<\/sub>&nbsp;is the mass of the body 1<\/li><li>m<sub>2<\/sub>&nbsp;is the mass of body 2<\/li><li>r is the radius or distance between the two bodies<\/li><\/ul>\n\n\n\n<p>The&nbsp;<strong>gravitational force formula<\/strong>&nbsp;is very useful in computing gravity values, larger mass, larger radius, etc.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Gravity Problems Solved Examples<\/h3>\n\n\n\n<p>Underneath are&nbsp;given some questions on gravity which helps one to comprehend the use of this formula.<\/p>\n\n\n\n<p><strong>Problem&nbsp;1:&nbsp;<\/strong>Calculate the force due to gravitation being applied on two objects of mass 2 Kg and 5 Kg divided by the distance 5cm?<br><strong>Answer:<\/strong><\/p>\n\n\n\n<p>Given: Mass m<sub>1<\/sub>&nbsp;= 2 Kg,<br>Mass m<sub>2<\/sub>&nbsp;= 5 Kg,<br>Radius r = 5 cm.<br>Gravitational Constant G = 6.67&nbsp;\u00d7\u00d7&nbsp;10<sup>-11<\/sup>&nbsp;Nm<sup>2<\/sup>\/Kg<sup>2<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?The\\;force\\;due\\;to\\;gravity\\;are\\;given\\;by\\;formula\\;F=\\frac{Gm_{1}m_{2}}{r^{2}}\" alt=\"Gravity formula1\" title=\"Gravity formula1\"\/><\/figure>\n\n\n\n<p>F =<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%202%5Ctimes%205%7D%7B%285%5Ctimes%2010%5E%7B-2%7D%29%5E%7B2%7D%7D\" alt=\"gravitational formula 4\" width=\"159\" height=\"45\"><\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?=2.668\\times&amp;space;10^{-7}N\" alt=\"Gravity formula 3\" width=\"133\" height=\"17\"><br><strong>Problem 2.<\/strong>&nbsp;What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth iskg and radius of the earth is).<\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>From Newton\u2019s law of gravitation, we know that the force of attraction between the bodies is given by<br><br>Where,m1=kgm2 = 1 kgr =<\/p>\n\n\n\n<p>Substituting in the above equation,<br><br>=9.8 N<br>This shows that the earth exerts force 9.8 N on a body of mass of 1 Kg.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We know gravity is the fundamental force and is the elemental concept of Physics. Gravity or gravitational force is the contribution of the great scientist Sir Isaac Newton. We know that dropping an apple from a tree was the reason for the inception of the Law of Universal Gravitation. In this session, let us learn [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[711],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3066"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=3066"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3066\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}