Work Energy and Power - Result Question 34

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

[2015]

(a) mkt1/2

(b) 2mkt1/2

(c) 12mkt1/2

(d) mk2t1/2

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Answer:

Correct Answer: 37. (d)

Solution:

  1. (d) As we know power P=dwdt

w=Pt=12mV2

So, v=2Ptm Hence, acceleration a=dVdt=2Pm12t

Therefore, force on the particle at time ’ t '

=ma=2Km2m12t=Km2t=mK2t1/2



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