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A mass m moves in a circular orbit (centered on the

Chapter 4, Problem 4.41

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QUESTION:

A mass m moves in a circular orbit (centered on the origin) in the field of an attractive central force with potential energy \(U=kr^n\) . Prove that the kinetic energy is given by T=nU/2 .  

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QUESTION:

A mass m moves in a circular orbit (centered on the origin) in the field of an attractive central force with potential energy \(U=kr^n\) . Prove that the kinetic energy is given by T=nU/2 .  

ANSWER:

Step 1 of 3

Kinetic energy is related by the motion of the body, it depends upon mass and velocity of the body.

                                                                

Here  is the mass of the body,  is the velocity of the body.

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