Short-answer questions
(1) State Newton's universal law of gravitation.
(2) Show that the gravitational potential energy of a body of mass m, at the surface of the Earth of radius R and mass M, is given by EP=−RGMm.
(3) Hence, show that the gravitational potential at the Earth's surface is −62.5 MJ kg−1. Given MEarth=6×1024 kg, R=6.4×106 m, and G=6.67×10−11 N m2 kg−2.