A block of mass m =10 kg rests on a horizontal table. The coefficient of friction between the block and the table is 0.05. When hit by a bullet of…

A block of mass $\displaystyle \mathrm{m}=10 \mathrm{~kg}$ rests on a horizontal table. The coefficient of friction between the block and the table is $\displaystyle 0.05$ . When hit by a bullet of mass $\displaystyle 50$ g moving with speed $\displaystyle v$, that gets embedded in it, the block moves and comes to stop after moving a distance of $\displaystyle 2$ m on the table. If a freely falling object were to acquire speed $\displaystyle \frac{v}{10}$ after being dropped from height H, then neglecting energy losses and taking $\displaystyle \mathrm{g}=10 \mathrm{~ms}^{-2}$, the value of H is close to :