A 15.0 block is attached to a very light horizontal spring of force constant 350

Question

A 15.0 block is attached to a very light horizontal spring of force constant 350 N/m and is resting on a smooth horizontal table. (See the figure below (Figure 1) .) Suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left.

find the maximum distance that the block will compress the spring after the collision (HINT: break this problem into two parts- the collision and the behavior after the collision- and apply the appropriate conservation law to each part)

I tried 0.29 m, but that was incorrect

A 15.0 block is attached to a very light horizontal spring of force constant 350 N/m and is resting on a smooth horizontal table. (See the figure below (Figure 1) .) Suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. find the maximum distance that the block will compress the spring after the collision (HINT: break this problem into two parts- the collision and the behavior after the collision- and apply the appropriate conservation law to each part) I tried 0.29 m, but that was incorrect

Explanation / Answer

Collision: Change in KE(stone) = (1/2)(m)(vfsquared-visquared) = (1/2)(3.00kg)(-2m/s squared - 8 m/s squared) = -90 After the collision: Change in KE(stone) = (1/2)(Force constant)xsquared -90 = (1/2)(350N/m)xsquared x = 0.72m

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