A 15.0kg block is attached to a very light horizontal spring of force constant 3

Question

A 15.0kg block is attached to a very light horizontal spring of force constant 350N/m and is resting on a smooth horizontal table. (See the figure below (Figure 1).) Suddenly it is struck by a 3.00kg 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.(Hint. Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part.)

Explanation / Answer

conserving momentum,

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

or v=2 m/s

now conserving energy,

0.5*mv^2=0.5kx^2

or 0.5*15*2*2=0.5*350*x*x

or x=0.414 m

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