A trolley of mass 300 kg carrying a sandbag ...

Work, Power and Energy

Question : 19 of 30

Marks: +1, -0

A trolley of mass 300 kg carrying a sandbag of 25 kg is moving uniformly with a speed of 27 km/h on a frictionless track. After a while, sand starts leaking out of a hole on the floor of the trolley at the rate of

0.05\ \mathrm{kg\ s}^{-1}

. What is the speed of thetrolley after the entire sand bag is empty?

Solution:

The trolley carrying a sand bag is moving with uniform speed of 27

\mathrm{km\ h}^{-1}

. Therefore external force on the system (trolley + sand) is zero.

When the sand leaks out of a hole on trolley’s floor, it does not lead to the application of any external force on the trolley. So, the speed of the trolley will not change.

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