A trolley of mass 100kg is pulled with a constant velocity of $\frac{1}{3}$ m s^-1 . Sand is falling on the trolley at a rate of 18kg/s. Assume that the sand sticks to the trolley. The rate of increase of kinetic energy of the trolley in S.I. units will be x. Then fill the value of x.

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Detailed Solution

$\frac{dm}{dt} = 18 kg / s$ [Rate of mass increasing on trolley]
$k = \frac{1}{2} {mv}^{2} \Rightarrow \frac{dk}{dt} = \frac{1}{2} v^{2} \frac{dm}{dt} = 1$

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