JEE Main | 2018Work, Power and EnergyHard

Question

A particle is moving in a circular path of radius a under the action of an attractive potential U = - k2r2. Its total energy is :-

Options

A.

k2a2

B.

Zero

C.

-32ka2

D.

-k4a2

Solution

F = -ur=Kr3
Since it is performing circular motion
F = mv2r=Kr3
mv2Kr2
K.E. =12mv2=K2r2
Total energy = P.E. + K.E.
=-K2r2+K2r2 = Zero

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