A body of mass 1 kg falls freely from a height of 100 m, on a platform of mass 3 kg which is mounted on a spring having spring constant k =1.25 ×…

A body of mass $\displaystyle 1$ kg falls freely from a height of $\displaystyle 100$ m, on a platform of mass $\displaystyle 3$ kg which is mounted on a spring having spring constant $\displaystyle \mathrm{k}=1.25 \times 10^6 \mathrm{~N} / \mathrm{m}$. The body sticks to the platform and the spring's maximum compression is found to be $\displaystyle x$. Given that $\displaystyle \mathrm{g}=10 \mathrm{~ms}^{-2}$, the value of $\displaystyle x$ will be close to :