A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10^-2 kg moving with a speed of 2 × 10^2 ms^-1. The…

A simple pendulum of length $\displaystyle 1$ m has a wooden bob of mass $\displaystyle 1$ kg. It is struck by a bullet of mass $\displaystyle 10^{-2} \mathrm{~kg}$ moving with a speed of $\displaystyle 2 \times 10^2 \mathrm{~ms}^{-1}$. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use $\displaystyle \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )