Gavitational force acts on all objects in proportion to their masses. Why then, a heavy objects does not fall faster than a light object ?

Explanation

The gravitional force on an object of mass m is given by,
`F=G (Mm)/(d^(2)) and F=mg`
`mg =G (Mm)/(d^(2)) therefore g=G (M)/d^(2)`
So the g does not depend upon the mass of the object.
Hence, all the objects fall with the same acceleration.