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Classical Mechanics problem: See if you can prove the so-called virial theorem. This is a statement that...

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Physics

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.

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