In a spring gun having spring constant $100 \mathrm{N} {\mathrm{m}}^{-1}$ a small ball $B$ of mass $100 \mathrm{g}$ is put in its barrel (as shown in figure) by compressing the spring through $0.05 \mathrm{m}$. There should be a box placed at a distance $d$ on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of $2 \mathrm{m}$ above the ground. The value of $d$ is $m$.
$\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$