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A trolley of mass 30 kg carrying a sand...

A trolley of mass 30 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 hole on the floor of the trolley of the rate of `0.05 " kg s"^(-1)` .What is the speeed of the trolley after the entire sand bad is empty ?

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The system of trolley and sandbag is moving with a uniform speed . That means trolley and sandbag behave as isolated system. If the sand leak out , even then no external force acts . So, there shall be no change in the speed of the trolley .
` :. ` Speed of trolley = 27 km/h
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