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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The impact force F = ( Δ Δ p/ Δ Δ t) where Δ Δ p = change of momentum of water of mass Δ Δ m striking the ball a speed v during time Δ Δ t. Since water falls dead after collision with the ping-pong ball
Δ Δ p = Δ Δ m v ⇒ ⇒ F = v
upward on the ball
Where
= rate of flow of water in the nozzle.
Since the ball is in equilibrium
F – mg = 0 ⇒ ⇒ F = mg
⇒ ⇒
= mg ⇒ ⇒
=
.
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