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consider earth to be a spherical body of mass M, radius R with centre O, Suppose a body of mass m placed on the surface of earth, where acceleration due to gravity is g. The gravitational force of the body of mass m, outside the surface of earth is due to earth whose mass M is concentrated at the centre O. Let F be the force of attraction between body and the earth. According to Newton's law of gravitation,

F =GMm/R2(where 2 is square of R)

From gravity pull, F= mg so, mg= GMm/R2 or g= GM/R2

This article uses material from the Wikipedia article Relation between g and G, that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
Author(s): Altered Walter Search for "Relation between g and G" on Google
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