Question

prove that acceleration due to gravity is independent of mass of the falling body

Answer 1

Let us consider the mass of the object as mand mass of earth as M

Therefore, force between the object and earth would be given by:

F=GMm/d²


This force is equal to the weight of the object, i.e. mg

mg=GMm/d²
g=GM/d²

Therefore, the value of acceleration due to gravity is independent of mass of the body.

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Answer 2

Answer:

Explanation:

if the mass of the object is m and the mass of the earth as M

so force between the object and earth would be given as

F=GMm/d²

and force is equal to the weight of the object, i.e. mg

mg=GMm/d²

g=GM/d²

hence the value of acceleration due to gravity is independent of the the the the mass of the body.

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