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A 5.00-g bullet moving with an initial speed of v0 = 410 m/s is fired into...

A 5.00-g bullet moving with an initial speed of v0 = 410 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 940 N/m.
(a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block.
(b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision.

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