A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet…

A pendulum of length $\displaystyle 2$ m consists of a wooden bob of mass $\displaystyle 50$ g. A bullet of mass $\displaystyle 75$ g is fired towards the stationary bob with a speed $\displaystyle v$. The bullet emerges out of the bob with a speed $\displaystyle \frac{v}{3}$ and the bob just completes the vertical circle. The value of $\displaystyle v$ is \_\_\_\_ $\displaystyle \mathrm{ms}^{-1}$. (if $\displaystyle \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ).