Blocks A $($mass $3\mathrm{.}00$ kg$)$ and B $($mass $9\mathrm{.}00$ kg$)$ move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at $3\mathrm{.}00$ m$/$s$.$ The blocks are equipped with ideal spring bumpers. The collision is head$-$on$,$ so all motion before and after the collision is along a straight line. Let $+$x be the direction of the initial motion of block A

$.$

Part A

Find the maximum energy stored in the spring bumpers.

Express your answer with the appropriate units.

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Umax

$=$

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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.

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vA

$=$

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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.

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vB

$=$

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Part D

Find the velocity of block A

after they have moved apart.

Express your answer with the appropriate units.

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vA

$=$

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Part E

Find the velocity of B

after they have moved apart.

Express your answer with the appropriate units.

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vB

$=$

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