Question

A stone is released from some height, it moves towards the earth. Does the earth also move towards the stone ?

Answer 1

Both feel the same amount of force

$F=\frac{G{M}_s{M}_e}{R^2}$

$M_e>>>>M_s$

$a_e=\frac{F}{M_e}$

and the earth has huge(infinite) mass with respect to the stone, however, mass of stone is lesser its acceleration towards the earth become visible and therefore stone tends to move. however, the acceleration of the Earth is extremely small and negligible(zero)