question_answer

Why does the earth impart the same acceleration to all bodies?       

Answer:

                                The force of gravitation exerted by the earth on a body of mass m is \[F=G\frac{Mm}{{{R}^{2}}}=mg\] Acceleration imparted to the body, \[g=\frac{GM}{{{R}^{2}}}\] Clearly, \[g\] does not depend on m. Hence the earth imparts same acceleration to all bodies.