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A $0.520 \text{ kg}$ block is sliding to the right on a surface that exerts a frictional force with coefficient of kinetic friction $\mu = 0.400$. It collides with a horizontal spring with spring constant $k = 18.0 \text{ kg/s}^{2}$ which compresses by $12.0 \text{ cm}$ as the block comes to rest.

With what velocity does the block contact the spring (i.e. how fast is the block moving just before the block hits the spring)?

A

$0.706 \text{ m/s}$

B

$0.970 \text{ m/s}$

C

$1.20 \text{ m/s}$

D

$1.44 \text{ m/s}$

E

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