Work, Power and EnergyHard

Question

A particle is moving in a circle of radius r under the action of a force F = αr2 which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy = 0 for r = 0) :

Options

A.1/2 αr3
B.5/6 αr3
C.4/3 αr3
D.αr3

Solution

dU = F.dr
U =
= αr2
m2v2 = mαr3
2m(KE) = αr3
Total E = αr3

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