You're on top of a gym and you drop and egg and a TV. Without air resistance, which object will hit the ground first?

Question

xishem · Answer

All objects fall at the same rate in a vacuum (no air resistance).

They will hit the ground at the same time. We all know the acceleration caused by gravity is constant for a given distance (about 9.81 m/s). Same acceleration means the same time to travel the same distance.

xishem · Answer

I never claimed the gravitational force wasn't applicable.

A body falling through a constant gravitational field will fall at the same rate regardless of its mass if there is no air resistance.

Consider Newton's universal law of gravitation:
$$F=G \frac{M_1M_2}{r^2}$$Let M_e be the mass of Earth and m be the mass of any object.$$F=G \frac{M_e m}{r^2}$$Now, using Newton's Second law to replace F:$$ma_0=G \frac{M_e m}{r^2}$$The mass of the object cancels and you get:$$a_0=G \frac{M_e}{r^2}$$Where a_0 is the acceleration of the object, independent of its mass.