A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is fired vertically…

A piece of wood of mass $\displaystyle 0.03$ kg is dropped from the top of a $\displaystyle 100$ m height building. At the same time, a bullet of mass $\displaystyle 0.02$ kg is fired vertically upward, with a velocity $\displaystyle 100 \mathrm{~ms}^{-1}$, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is : $\displaystyle \left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$