Combining Conservation Laws. A 15.0 kg} block is attached to a very light horizo

Question

Combining Conservation Laws.
A 15.0 kg} block is attached to a very light horizontal spring of force constant 600N/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 8.00 m/s} to the right, whereupon the stone rebounds at 2.00 m/s} horizontally to the left.

**FIGURE ON PLEASE GO TO LINK: http://session.masteringphysics.com/problemAsset/1263257/2/yg.8.38.jpg

Part A
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}

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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