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.