A trolley of mass 300kg carrying a sandbag of 25kg 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 trolley's floor at the rate of 0.05 kg/s. The speed of the trolley after the entire sand bag is empty is

Foundation

Physics Foundation

Force and Newtons Law of Motion

Question

A trolley of mass 300kg carrying a sandbag of 25kg 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 trolley's floor at the rate of 0.05 kg/s. The speed of the trolley after the entire sand bag is empty is

A

27 km/hr

B

9 km/hr

C

45 km/hr

D

54 km/hr

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Mass of trolley = 300 kg
Mass of sandbag = 25 kg when sandbag is empty
then

Mass of trolley = 325

Now mass of sandbag = 0 u = initial Velocity of system u = 27 km/h (Given) v = final velocity of system

Applying momentum Conservation.

(M + m)u = (M + m)v

(300 + 25)u = (325 + 0)v

(325)u = (325)v

u = v

v = 27 km/h

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