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A 0.026-kg bullet is accelerated from rest to a speed of 565 m/s in a 3.2-kg...

A 0.026-kg bullet is accelerated from rest to a speed of 565 m/s in a 3.2-kg rifle. The pain of the rifle’s kick is much worse if you hold the gun loosely a few centimeters from your shoulder rather than holding it tightly against your shoulder. For this problem, use a coordinate system in which the bullet is moving in the positive direction.

a. Calculate the recoil velocity of the rifle if it is held loosely away from the shoulder.

b. How much kinetic energy does the rifle gain?

c. What is the recoil velocity if the rifle is held tightly against the shoulder, making the effective mass 28.0 kg?

d. How much kinetic energy is transferred to the rifle-shoulder combination? The pain is related to the amount of kinetic energy, which is significantly less in this latter situation.

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