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Questions  

A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to -k/r2, where k is a constant. The total energy of the particle is

a
kr
b
k2r
c
−k2r
d
kr2

detailed solution

Correct option is C

Centripetal force, F=mv2r=−kr2Negative sign shows that the force is directed towards the centre of the circle.∴ mv2=kr K.E. =12mv2=k/2r P.E. =−k/r∴  Total energy =k2r−kr=−k2r

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Statement -A : The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
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