Questions
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
detailed solution
Correct option is C
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-1/2Talk to our academic expert!
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The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be then the power of heart in watt is:
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