A mass m moves in a circular orbit around the source of an attractive central force with potential energy U=krn, where r is radius of the orbit. The virial theoremstates that then 2T=nU. a)Prove the virial theorem.b)Verify that the theorem holds for electrostatic force.c)Verify that the theorem holds for gravitational force.

A mass m moves in a circular orbit around the source of an attractive central force with potential energy U=krn, where r is radius of the orbit. The virial theoremstates that then 2T=nU. a)Prove the virial theorem.b)Verify that the theorem holds for electrostatic force.c)Verify that the theorem holds for gravitational force.