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Q.

Force acting on a particle moving in a straight line varies with velocity of the particle as F=kv, k  is a constant. The work done by this force in time t is : (At  t=0, particle is moving with non zero speed)

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a

kv2t

b

2kt

c

kt

d

2ktv2

answer is C.

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Detailed Solution

GivenForce , F=kv ⇒mdvdt=kv ⇒∫uvvdv=km∫0tdt⇒m2v2−u2=ktAs per work energy theorem , change in kinetic energy is work done by the force.
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