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A particle of mass m moves under the act...

A particle of mass m moves under the action of a central force. The potential energy function is given by `U(r)=mkr^(3)` Where k is a positive constant and r is distance of the particle from the centre of attraction. (a) What should be the kinetic energy of the particle so that it moves in a circle of radius a0 about the centre of attraction? (b) What is the period of this circualr motion ?

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The correct Answer is:
`(a) 3/2 kma_(0)^(3)`
(b) `(2pi)/(sqrt(3ka_(0)))`
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