Blocks AA $($mass $3\mathrm{.}00$ kgkg$)$ and BB $($mass $7\mathrm{.}50$ kgkg$)$ move on a frictionless, horizontal surface. Initially, block BB is at rest and block AA is moving toward it at $5\mathrm{.}00$ m$/$sm$/$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$+$x be the direction of the initial motion of block AA$.$

Part A

Find the maximum energy stored in the spring bumpers.

Express your answer with the appropriate units.

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UmaxUmax $=$

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Part B

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

Express your answer with the appropriate units.

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vAvA $=$

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Part C

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

Express your answer with the appropriate units.

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vBvB $=$

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Part D

Find the velocity of block AA after they have moved apart.

Express your answer with the appropriate units.

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vAvA $=$

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Part E

Find the velocity of BB after they have moved apart.

Express your answer with the appropriate units.

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vBvB $=$

nothingnothing

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