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Q.

A trolley of mass 300kg carrying a sandbag of 25kg is moving uniformly with a speed of 27kmph on a frictionless track. After a while sand starts leaking out of a hole on the floor of the trolley at the rate of 0.5kgs^–1. What is the speed of the trolley after the entire sand bag is empty?

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a

27 kmph

b

10.09 kmph

c

13.5 kmph

d

29 kmph

answer is D.

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Detailed Solution

From LCM,

$m_{1} u + m_{2} u = m_{1} v_{1} + m_{2} v_{2}$
$\Rightarrow (300 + 25) 27 = 0 + 300 v_{2}$

$\Rightarrow v_{2} = 29.2 kmph$

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A trolley of mass 300kg carrying a sandbag of 25kg is moving uniformly with a speed of 27kmph on a frictionless track. After a while sand starts leaking out of a hole on the floor of the trolley at the rate of 0.5kgs–1. What is the speed of the trolley after the entire sand bag is empty?