The $18-kg$ block A has a velocity $v=14\frac{m}{s}$ when it is $s=2m$ from the $10-kg$ block $B$ as shown in $($Figure $1).$ The unstretched spring has a stiffness $k=1000\frac{N}{m}.$ Take $e=0\mathrm{.}6,$ and for block $A,{}_k=0\mathrm{.}3.$ Assume block $B$ is smooth.

Determine the maximum compression of the spring after the collision.

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

View Available Hint$($s$)$

$x_{\text{m}\text{a}\text{x}}=$

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