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Combining Conservation Laws

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A 15.0 kg block is attached to a very light horizontal spring of force constant
500.0 N/m and is resting on a frictionless horizontal table. Suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00m/s horizontally to the left. Find the maximum distance that the block will compress the spring after the collision.

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