Question

Prove that acceleration due to gravity is independent to the mass of falling object.
​

Answer 1

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

Step-by-step explanation:

Let us consider the mass of the object as m and 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

Thus;

mg = GMm/d²

g = GM/d²

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