A cannon of mass 6.79 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 85.6-kg shell horizontally with an initial velocity of 508 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
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Problem 70PQ: A ballistic pendulum is used to measure the speed of bullets. It comprises a heavy block of wood of...
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A cannon of mass 6.79 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 85.6-kg shell horizontally with an initial velocity of 508 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

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