Your friends is catching a falling basket ball after it has passed through the b

Question

Your friends is catching a falling basket ball after it has passed through the basket. Her hands move straight down while catching the ball. It takes about 0.10 s for the player to lower her hands to stop the ball. Assume the mass the ball is 0.60 kg, and that the ball has fallen a vertical distance of 1.2 m before reaching the poayer's hand. Determine the average force that her hands exert on the ball while catching it. Your friends is catching a falling basket ball after it has passed through the basket. Her hands move straight down while catching the ball. It takes about 0.10 s for the player to lower her hands to stop the ball. Assume the mass the ball is 0.60 kg, and that the ball has fallen a vertical distance of 1.2 m before reaching the poayer's hand. Determine the average force that her hands exert on the ball while catching it. Determine the average force that her hands exert on the ball while catching it.

Explanation / Answer

average force = avg. Rate of change of momentum of ball

Speed of ball after falling a vertical distance Y under the action of gravity

u=(2gY)=4.85m/s

And hence momentum

p = mu = m(2gY)=2.9kgm/s

And after t= 0.1 s the ball is stopped by hand

So final momentum =0

And hence p=mu=m(2gY)

Thus

F=p/t=2.9/0.1= 29N

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