A bullet of mass m=0.500 [g] is fired horizontally with a speed v=10.0 [m/s] into the bob of a ballistic pendulum of mass mP=0.500 [g]. Find the maximum height ℎ attained by the bob if the bullet passes through the bob and emerges with speed v/4.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.35P
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The correct final answer is 2.87E-6. Please show how it became like that.

A bullet of mass m=0.500 [g] is fired horizontally with a speed v=10.0 [m/s] into the bob of a ballistic pendulum of mass mP=0.500 [g]. Find the maximum height ℎ attained by the bob if the bullet passes through the bob and emerges with speed v/4.

 

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