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A trolley of mass $300 \mathrm{~kg}$ carrying a sand bag 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 trolley's floor at the rate of $0.05 \mathrm{~kg} /$ s. What is the speed of the trolley after the entire sand bag is emptied?
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Since the trolley carrying the sand bag is moving uniformly, so the external force on the system is zero. When the sand leaks out, it doesn't apply any external force on the trolley. So the speed of the trolley doesn't change i.e it remains $27 \mathrm{kmh}^{-1}$
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