A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is

Constant power acting on the particle of mass m is k watt.or P = kdWdt=k; dW=kdt Integrating both sides, ∫0WdW=∫0tkdt⇒W = ktUsing work energy theorem,W=12mv2-12m(0)2kt=12mv2  [Using equation (i)] v=2ktm Acceleration of the particle, a=dvdta=122km1t=k2mt Force on the particle, F=ma=mk2t=mk2t-1/2