Question

What causes objects to fall on earth and what is the rate at which this occurs

Answer 1

Objects that are free to move "fall" towards the center of the Earth because of
the gravitational forces that attract the Earth and the object toward each other.

An object on or near the surface of the Earth that has only the force of gravity
and no other forces acting on it accelerates steadily toward the center of the
Earth at the rate of 9.81 meters per second every second.

At the same time, of course, the Earth accelerates toward the object, although
at a considerably lower rate.

Answer 2

Gravity causes objects to fall on earth and the rate is based on the magnetic pull of gravity.