Blocks $A($mass $6\mathrm{.}00$ kg $)$ and $B($mass $11\mathrm{.}00$ kg $,$ to the right of $A)$ move on a frictionless, horizontal surface. Initially, block $B$ is moving to the left at $0\mathrm{.}500\frac{m}{s}$ and block $A$ is moving to the right at $2\mathrm{.}00\frac{m}{s}.$ The blocks are equipped with ideal spring bumpers. The collision is headon, so all motion before and after it is along a straight line. Let $+x$ be the direction of the initial motion of $A.$

Part A

Find the maximum energy stored in the spring bumpers.

Express your answer with the appropriate units.

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Part B

Find the velocity of block A when the energy stored in the spring bumpers is maximum.

Express your answer with the appropriate units.

$v_A=$

$$

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Part C

Find the velocity of block $B$ when the energy stored in the spring bumpers is maximum. Express your answer with the appropriate units.