A cannon of mass 5.26 x 10³ kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 77.7-kg shell horizontally with an initial velocity of 587 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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A cannon of mass 5.26 x 10³ kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 77.7-kg shell
horizontally with an initial velocity of 587 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.)
Transcribed Image Text:A cannon of mass 5.26 x 10³ kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 77.7-kg shell horizontally with an initial velocity of 587 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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