A large block of wood of mass M=5.99 kg is hanging from two long massless cords.

From energy conservation,

$\left[\begin{array}{l}\text { after bullet gets embedded till the } \\ \text { system comes momentarily at rest }\end{array}\right]$

$(\mathrm{M}+\mathrm{m}) \mathrm{g} h=\frac{1}{2}(\mathrm{M}+\mathrm{m}) \mathrm{v}_{1}^{2}$

[ $\mathrm{v}_{1}$ is velocity after collision]

$\therefore v_{1}=\sqrt{2 g h}$

Applying momentum conservation, (just before and just after collision)

$\mathrm{mv}=(\mathrm{M}+\mathrm{m}) \mathrm{v}_{1}$

$v=\left(\frac{\mathrm{M}+\mathrm{m}}{\mathrm{m}}\right) \mathrm{v}_{1}=\frac{6}{10 \times 10^{-3}} \times \sqrt{2 \times 9.8 \times 9.8 \times 10^{-2}}$

$\approx 831.55 \mathrm{~m} / \mathrm{s}$