Force acting on a particle moving in a straig | vedclass

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(C) The force acting on the particle is given by $F = \frac{K}{v}$.We know that the power $P$ delivered by a force is $P = F \cdot v$.Substituting the

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$Kt$

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(C) The force acting on the particle is given by $F = \frac{K}{v}$.We know that the power $P$ delivered by a force is $P = F \cdot v$.Substituting the expression for $F$,we get $P = \left(\frac{K}{v}\right) \cdot v = K$.Since power is the rate of doing work,$P = \frac{dW}{dt} = K$.Integrating this with respect to time $t$,we get $W = \int_0^t K \, dt = Kt$.Therefore,the work done by the force in time $t$ is $Kt$.

Force acting on a particle moving in a straight line varies with the velocity of the particle as $F = \frac{K}{v}$. Here $K$ is a constant. The work done by this force in time $t$ is

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