The acceleration of the free falling body does not depend upon the mass of the body.prove this
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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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The acceleration of a freely falling body is equal to g, which is known as acceleration due to gravity. From the above expression, it is clear that the acceleration of a freely falling body is independent of mass of the body, but depends on mass of the planet.
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