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Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
The value of gravitational acceleration depends on the mass of the earth:
It is known that $g=G\frac{M_e}{R^2}$
Here $g\rightarrow$ Acceleration due to gravity
$G\rightarrow$ gravitational constant
$M_e\rightarrow$ Mass of the earth
$R\rightarrow$ Radius of the earth
From the formula of gravitational acceleration, it is clear that gravity depends on the mass of the earth but does not depend on the mass of the object.
Acceleration of free fall motion is the same for all objects:
Acceleration due to gravity$(g)$ is the same for all freely falling objects on the earth and its value does not depend on the masses of the objects.
Conclusion:
Based on the discussion above we come to know that gravity is the same for all heavy and light objects and the value of the gravitational acceleration does not depend on the masses of the objects. Therefore we can conclude that if there is no air resistance, then a heavy object does not fall faster than a light object due to the same gravity.
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