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Q.

A ping-pong ball of mass m is floating in air by a jet of water emerging out of a nozzle. If the water strikes the ping-pong ball with a speed v and just after collision water falls dead, the rate of mass flow of water in the nozzle is equal to: 

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a

2mgv

b

mvg

c

mgv

d

None of these

answer is C.

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Detailed Solution

The impact force F = (dp/dt) where dp = change of momentum of water of mass dm striking  the ball a speed v during time dt. 

Since water falls dead after collision with the ping-pong ball
Δp=ΔmvF=vΔmΔtupward on the ball 

Where ΔmΔt= rate of flow of water in the nozzle. 

Since the ball is in equilibrium
Fmg=0F=mg⇒=mgΔmΔt=mgv

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