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Q.

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 :

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a

mkt−1/2

b

2mkt−1/2

c

12mkt−1/2

d

mk2t−1/2

answer is D.

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Detailed Solution

P = Fv = mav⇒K=mvdvdtBy integrating the equation⇒∫vdv=∫kmdt⇒v22=kmt⇒v=2kmta=dvdt=2km12t−1/2F=ma=m122kmt⇒F=mk2t

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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 :