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A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2 R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :
  • a)
    Mn2R2t
  • b)
    MnR2t
  • c)
    MnR2t2
  • d)
    Mn2R2t2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A particle of mass M is moving in a circle of fixed radius R in such a...
By work energy theorem, power delivered to the mass will be equal to the rate of change of kinetic energy of the particle.
Hence, v2​/R = n2Rt2
v = nRt
KE = 1/2 ​Mv= 1/2 Mn2R2t2
Hence, Power = d(KE)/dt ​= Mn2R2t
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A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2 R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :a)Mn2R2tb)MnR2tc)MnR2t2d)Mn2R2t2Correct answer is option 'A'. Can you explain this answer?
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