The two masses in the device shown in Figure 6.14 are initially at rest at the same height. After they are released, the large mass, $m_{2}$, falls through a height $h$ and hits the floor, and the small mass, $m_{1}$, rises through a height $h$. (a) Find the speed of the masses just before $m_{2}$ lands, giving your answer in terms of $m_{1}, m_{2}, g$, and $h$. Assume that the ropes and pulley have negligible mass and that friction can be ignored. (b) Evaluate your answer to part (a) for the case where $h=1.2 \mathrm{~m}$, $m_{1}=3.7 \mathrm{~kg}$, and $m_{2}=4.1 \mathrm{~kg}$.