In the figure below, a 10 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest. The bullet emerges from the block moving directly upward at 400 m/s. (a) To what maximum height does the block then rise above its initial position? (b) Calculate the initial and final kinetic energies of the system. (c) The block now falls and bounces off the table where it originally sat. What is the velocity just before it hits the table? (d) If it rebounds with a speed of 10 m/s. what is the magnitude of the average force on the floor from the ball if the ball is in contact with the floor for 0.020 s?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter11: Collisions
Section: Chapter Questions
Problem 29PQ: A dart of mass m is fired at and sticks into a block of mass M that is initially at rest on a rough,...
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 In the figure below, a 10 g bullet moving directly upward at 1000 m/s strikes
and passes through the center of mass of a 5.0 kg block initially at rest. The
bullet emerges from the block moving directly upward at 400 m/s. (a) To
what maximum height does the block then rise above its initial position? (b)
Calculate the initial and final kinetic energies of the system. (c) The block
now falls and bounces off the table where it originally sat. What is the
velocity just before it hits the table? (d) If it rebounds with a speed of 10
m/s. what is the magnitude of the average force on the floor from the ball if
the ball is in contact with the floor for 0.020 s?

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