A 40-g rifle bullet is fired into a ballistic pendulum of mass 5 kg suspended from a chord 1 m long. The bullet remains embedded in the pendulum. Compute the initial velocity of the bullet if the center of gravity of the pendulum is observed to rise a vertical distance of 30 cm.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.16P
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A 40-g rifle bullet is fired into a ballistic pendulum of mass 5 kg suspended from a chord 1 m long. The bullet remains embedded in the pendulum. Compute the initial velocity of the bullet if the center of gravity of the pendulum is observed to rise a vertical distance of 30 cm.

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