A trolley of mass 300 kg carrying a sandbag of 25 kg
Question.
A trolley of mass $300 \mathrm{~kg}$ carrying a sandbag of $25 \mathrm{~kg}$ is moving uniformly with a speed of $27 \mathrm{~km} / \mathrm{h}$ on a frictionless track. After a while, sand starts leaking out of a hole on the floor of the trolley at the rate of $0.05 \mathrm{~kg} \mathrm{~s}^{-1}$. What is the speed of the trolley after the entire sand bag is empty?

solution:
The sand bag is placed on a trolley that is moving with a uniform speed of $27 \mathrm{~km} / \mathrm{h}$. The external forces acting on the system of the sandbag and the trolley is zero. When the sand starts leaking from the bag, there will be no change in the velocity of the trolley. This is because the leaking action does not produce any external force on the system. This is in accordance with Newton’s first law of motion. Hence, the speed of the trolley will remain $27 \mathrm{~km} / \mathrm{h}$.
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