The $12-kg$ block A has a velocity $v=11\frac{m}{s}$ when it is $s=6m$ from the $10*kg$ block $B$ as shown in $($Figure $1).$ The unstretched spring has a stiffness $k=1300\frac{N}{m}.$ Take $e=0\mathrm{.}6,$ and for block $A,{}_k=0\mathrm{.}3.$ Assume block $B$ is smooth.

Part A

Determine the maximum compression of the spring after the collision.

Express your answer to three significant figures and Include the appropriate units.

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Figure $1$ of $1$