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Question

# A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power of 0.5 W to the particle. If the initial speed (in ms−1) of the particle is zero, then the speed (in ms−1) of the particle after 5 s is:

A
8
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B
5
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C
15
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D
25
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Solution

## The correct option is B 5Given, mass of particle m=0.2 kg Power=Work doneTime Interval ⇒P=Wt ∴Work done by external force on the particle in time interval of 5 s W=P.t=0.5×5=2.5 J As mentioned in question, given force is the only external force acting on system. So, from Work-energy theorem, Wext=ΔKE W=KEf−KEi=12mvf2−0 ⇒2.5=12×(0.2)×vf2 ∴vf=√25=5 m/s Hence vf=5 m/s is the speed after 5 s

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