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Statement of a problem № 3186

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A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a varies with time t as a = k^2rt^2 , where k is a constant. Show that the power delivered to the particle by the forces acting on it is mk^4r^2t^5/3

Solution:
A particle of mass m is moving in a circular path of constant radius r such that

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