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Boxes A 7.00 kg and B 15.00 kg , to the right of A move on...

Boxes A 7.00 kg and B 15.00 kg , to the right of A move on a frictionless, horizontal surface. Box B is traveling to the left at 0.500 m/s, and box A is traveling to the right at 2.00 m/s initially. The boxes are attached with ideal spring bumpers. Eventually, they have head-on collision. consider that all motion before and after it is along a horizontal axis. Assume that +x is the direction of the initial motion of A.
a) Find the maximum energy stored in the spring bumpers.
b) Calculate the velocity of block A when the energy stored in the spring bumpers is maximum.
c) Calculate the velocity of block B when the energy stored in the spring bumpers is maximum.
d)Calculate the velocity of block A after the blocks have moved apart.
e) Calculate the velocity of block B after the blocks have moved apart.

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