A particle of mass \( m \) is moving in a circular path of constant radius \( r \) such that cen...
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0A particle of mass \( m \) is moving in a circular path of constant radius \( r \) such that centripetal acceleration, \( a_{c} \) varying with time is \( a_{c}=k^{2} \mathrm{rt}^{2} \), where \( \mathrm{k} \) is a constant. What is the power delivered to the particle by the force acting on it?
a. \( 2 \mathrm{mkr}^{2} \mathrm{t} \)
b. \( m k r^{2} t^{2} \)
c. \( {m k^{2}}^{2} r^{2} t \)
d. \( \mathrm{mk}^{2} \mathrm{rt} \)
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