Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
The gravitational force F acting on a body of mass m near the surface of earth is given by
where R = Radius of the earth
and M = Mass of the earth
=> Acceleration, g=Fm = GMR2
This value is constant (if we neglect air resistance) and does not depend upon the mass of an object. Hence, heavy objects do not fall faster than light objects.