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A particle of mass \( m \) is moving in a circular path of constant radius \( r \) such that its centripetal acceleration \( a_{c} \) is varying with time \( t \) as \( a_{c}=k^{2} r t^{2} \), where \( k \) is a constant. The power delivered to the particle by the forces acting on it is
(1) Zero
(2) \( m k^{2} r^{2} t^{2} \)
(3) \( m k^{2} r^{2} t \)
(4) \( m k^{2} r t \)
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