A particle is moving in a circle of radius under the action of a force which is…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle is moving in a circle of radius rr under the action of a force F=αr2F = \alpha r^2 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=0r = 0 ) : (1) 12αr3\frac{1}{2}\alpha r^3 (2) 56αr3\frac{5}{6}\alpha r^3 (3) 43αr3\frac{4}{3}\alpha r^3 (4) αr3\alpha r^3

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