The Ol' Spring and Bullet Combo

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AI Thread Summary
To solve the problem, the conservation of momentum principle is essential for determining the bullet's exit speed after passing through the block. The block's velocity after the bullet exits can be calculated using the spring's compression and Hooke's law, which relates the spring constant to the energy stored in the spring. The energy lost during the collision can be found by comparing the initial kinetic energy of the bullet with the final kinetic energy of the block and the energy stored in the spring. The key equations involve momentum conservation and kinetic energy calculations. Understanding these concepts will help in finding both the bullet's exit speed and the energy lost in the collision.
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Homework Statement


A 4.66 g bullet moving with an initial speed of vi = 410 m/s is fired into and passes through a 1.18 kg block.The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 844 N/m.
a) If the block moves x = 4.01 cm to the right after impact, calculate the speed at which the bullet emerges from the block.
b) Calculate the energy lost in the collision.

Homework Equations



Not entirely sure, maybe some hooke's law, maybe a little bit of momentum and KE equations.

The Attempt at a Solution



I'm not sure where to start and any hints would be much appreciated.
 
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What was the block's velocity after the bullet passed through? You can use that and the conservation of momentum equation to calculate the bullet's exit speed.
 
Thanks.
 

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