The force of gravitation on all objects is directly proportional to their masses, yet a heavy body does not fall faster than a light body. Why ?

Explanation

If force of gravity on a body is F and mass of the body is m then `Fprop m`
or, F=km [k= proportionality constant]
or, `F/m=k `……….(1)
Suppose mass m gains an acceleration of a under the action of force F. Hence, from Newton.s second law of motion,
`F=ma or, F/m=a ` ..........(2)
From (1) and (2) ,a=k
Hence acceleration produced on any mass is a constant, so all bodies fall to the earth with equal speed.