1) All objects near the Earth's surface fall at the same rate due to gravity, regardless of their mass, as shown by Galileo's experiment of dropping two objects of different mass from the Leaning Tower of Pisa. 2) The acceleration due to gravity, g, is about 9.81 m/s^2 at the Earth's surface and determines the free fall motion of objects unaffected by air resistance. 3) At the center of a spherical body like the Earth, there would be no net gravitational force as gravitational forces from all sides would cancel out.