Why do objects fall to the ground at the same rate

As such, all objects free fall at the same rate regardless of their mass. Because the 9.8 N/kg gravitational field at Earth's surface causes a 9.8 m/s/s acceleration of any object placed there, we often call this ratio the acceleration of gravity.

According to newtons 2nd law of motion,

"The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object".

F=mg

Gravitational acceleration = g = F/m

And we also know g always remains constant which is 9.8 m/s2.

So if the mass of the objects varies, then Force exerted by earth change accordingly to constant the value of g.

Hence gravitation acceleration / rate of fall will be the same for both heavier and a lighter object.