question_answer

If the force of gravity acts on all bodies in proportion to their masses, why does a heavy body not fall faster than a light body?              

Answer:

                If F be the gravitational force on a body of mass m, then \[F=G\frac{Mm}{{{R}^{2}}}=mg\]             or \[g=\frac{GM}{{{R}^{2}}}\] Clearly, \[F\propto m\] m but g does not depend on m. Hence all bodies fall with same rapidness if there is no air resistance.