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

Explanation

The gravitational force `F` on a body of mass `m` placed on the surface of Earth of mass `M` and
radius `R` is `F = (GMm)/(R^(2)) = mg` or `g = (GM)/(R^(2))`
From above we note that `F prop m` but `g` does not depend on `m`. Therefore all the bodies (whatever be their masses) fall with equal acceleration which is equal to acceleration due to gravity.