Question

why two different weights falls at same time period

Answer 1

it is due to the gravitational laws of newton

Answer 2

here's the answer

Newton's gravitational force is proportional to the mass of a body, F=GMR2×mF=GMR2×m, where in the case you're thinking about MM is the mass of the earth, RR is the radius of the earth, and GGis Newton's gravitational constant.

Consequently, the acceleration is a=Fm=GMR2a=Fm=GMR2, which is independent of the mass of the object. Hence any two objects that are subject only to the force of gravity will fall with the same acceleration and hence they will hit the ground at the same time.

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