Question

Why does earth impart same acceleration to all bodies?

Answer 1

Acceleration depends only on the Mass of Earth and Radius of Earth at any point on the surface of Earth.

            g = G M / R^2

Since  Radius is nearly same all around the Earth, g is nearly same.  Still there is a little variation from the Equator to the pole.

Answer 2

Answer:

The acceleration exerted by the earth on a body of mass m is

F = GMm\R^2

Acceleration imparted to the body , g =GM\R^2

Explanation:

Clearly, the value of "g" does not depend on m.

Hence the earth impart same acceleration to all bodies