While gravitational force does increase with an object’s mass, the same increase in mass leads to an increase in inertia, which resists acceleration. This balance means that all objects, regardless of their mass, fall with the same acceleration (approximately 9.8 m/s² due to gravity).
Here’s a more detailed explanation:
Force and Mass:
The gravitational force acting on an object is directly proportional to its mass (F = mg, where g is the acceleration due to gravity). A heavier object experiences a greater gravitational force.
Inertia and Resistance:
Mass is also a measure of an object’s inertia, its resistance to changes in motion. A heavier object has more inertia and is harder to accelerate.
Equal Acceleration:
The increase in gravitational force on a heavier object is exactly balanced by the increase in its resistance to acceleration (inertia). Therefore, both heavy and light objects experience the same acceleration due to gravity, causing them to fall at the same rate in the absence of air resistance.