Classical Mechanics problem:
See if you can prove the so-called virial theorem. This is astatement that relates the average kinetic energy of a stablesystem to the potential energy of the system. It applies when theforce between two particles of the system has a correspondingpotentual energy U of the form U = kr^n, where r is the separationof the particles and n is some real number. So, suppose a mass mmoves in a circular orbit about the origin in the field of anattractive central force with potential energy U = kr^n. Show thatthe kinetic energy T of the particle is T = nU/2.
