$(5$ pts $)13.$ A block with mass $0\mathrm{.}200$ kg is attached to a horizontal spring that has force constant $k=80\mathrm{.}0\frac{N}{m}.$ The block is moving in simple harmonic motion on a horizontal frictionless surface. During its motion the maximum speed of the block is $5\mathrm{.}00\frac{m}{s}.$ During its motion what is the maximum magnitude of the force that the spring exerts on the block?

$($a$)5$ N

$($b$)10$ N

$($c$)15$ N

$($d$)20$ N

$($e$)30$ N

$($f$)$ none of the above answers