A 15.0kg block is attached to a very light horizontal spring of force constant 6

Question

A 15.0kg block is attached to a very light horizontal spring of force constant 600N/m and is resting on a smooth horizontal table. Suddenly it is struck by a 3.00kg stone traveling horizontally at 8.00m/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.(Hint: Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part.)

x = _____ m

Show work to answers please

A 15.0kg block is attached to a very light horizontal spring of force constant 600N/m and is resting on a smooth horizontal table. Suddenly it is struck by a 3.00kg stone traveling horizontally at 8.00m/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.(Hint: Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part.) x = _____ m Show work to answers please

Explanation / Answer

conservation of momentum:

m1 v1 = m1 v1f + m2 v2f

3*8 = 3*(-2) + 15 v2f

>>>> v2f = 2 m/s

0.5 m v2f^2 = 0.5 k A^2

0.5*15*2*2 = 0.5 * 600 * A^2

A = 0.31623 ? 0.316 m

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