Question $13$: A ballistic pendulum is set up using a rifle and a wooden block held by a rope tethered to the ceiling.

A bullet of mass $m_b=3\mathrm{.}57g$ was fired from a rifle at $v_{\text{b}\text{u}\text{l}\text{l}\text{e}\text{t}}=400\frac{(m)}{(s)}$ and strikes a heavy wooden block of mass $m_w=5kg,$ embedding itself into the wood. What is the maximum height the wooden block with bullet inside can reach?