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Q.

A trolley containing water has total mass 1000 kg. Now water starts coming out of the trolley at the rate of 10 kg/s from below it. Find the velocity of the trolley after 50 sec, if the initial speed is 10 m/s on the horizontal frictionless road.

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a

10 m/s

b

20 m/s

c

15 m/s

d

none

answer is A.

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Detailed Solution

The velocity of system will not change in horizontal direction as water is leaking out vertically down. Because leaking water does not exchange any momentum with trolley in horizontal direction.
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A trolley containing water has total mass 1000 kg. Now water starts coming out of the trolley at the rate of 10 kg/s from below it. Find the velocity of the trolley after 50 sec, if the initial speed is 10 m/s on the horizontal frictionless road.