In a lab near the surface of the Earth, a ball of mass m is launched with a speed of v horizontally into a catcher that is attached to a fixed vertical rod which is free to rotate frictionlessly. If the catcher has a mass of M and the rod has a length of L, what is the maximum height the catcher with the mass inside of it will reach after the collision? Hint: Energy is lost during the collision of the ball into the catcher, but not lost as the catcher and ball begin to swing together. Give your answer in terms of m, M, v, L and g. h=?

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In a lab near the surface of the Earth, a ball of mass m is launched with a speed of v horizontally
into a catcher that is attached to a fixed vertical rod which is free to rotate frictionlessly. If the
catcher has a mass of M and the rod has a length of L, what is the maximum height the catcher
with the mass inside of it will reach after the collision?
Hint: Energy is lost during the collision of the ball into the catcher, but not lost as the catcher and
ball begin to swing together.
Give your answer in terms of m, M, v, L and g.
h=?
Transcribed Image Text:In a lab near the surface of the Earth, a ball of mass m is launched with a speed of v horizontally into a catcher that is attached to a fixed vertical rod which is free to rotate frictionlessly. If the catcher has a mass of M and the rod has a length of L, what is the maximum height the catcher with the mass inside of it will reach after the collision? Hint: Energy is lost during the collision of the ball into the catcher, but not lost as the catcher and ball begin to swing together. Give your answer in terms of m, M, v, L and g. h=?
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