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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 :

a
mkt−1/2
b
2mkt−1/2
c
12mkt−1/2
d
mk2t−1/2

detailed solution

Correct option is D

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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