A $0\mathrm{.}50$ kg box falls from a height of $15\mathrm{.}0$ m onto a large capacity spring scale with a spring constant of $1\mathrm{.}0{10}^5\frac{(N)}{(m)}.$ At its greatest compression, the reading on the scale is closest to

$3800$ N

$7700$ N

$5100$ N

$6800$ N

$1300$ N