If it takes $8\mathrm{.}0$ N to stretch a spring $6\mathrm{.}0$ cm and if the spring is then cut in half, what force does it take to stretch one of the halves $3\mathrm{.}0$ cm $?$

$2\mathrm{.}0$ N

$4\mathrm{.}0$ N

$8\mathrm{.}0$ N

$16$ N