The reason for this is that the force of gravity is proportional to the mass of the object. However, the acceleration of an object is inversely proportional to its mass. This means that the greater the mass of an object, the less its acceleration will be.
So, while the force of gravity is greater for a heavier object, the object's greater mass also means that its acceleration is less. This results in all objects falling with the same acceleration due to gravity.
This can be seen in the following equation:
$$a = g = \frac{F_g}{m}$$
where:
* a is the acceleration due to gravity
* g is the acceleration due to gravity at the surface of the Earth (approximately 9.8 m/s2)
* Fg is the force of gravity
* m is the mass of the object
As you can see, the acceleration due to gravity (a) is directly proportional to the force of gravity (Fg) and inversely proportional to the mass of the object (m). This means that the greater the mass of an object, the less its acceleration will be.
However, since the force of gravity is also greater for a heavier object, these two effects cancel each other out, resulting in all objects falling with the same acceleration due to gravity.
