(Solved): A large mass m1=5.62kg is attached to a smaller mass m2=3.52kg by a string. The string is ...

A large mass $$m_1=5.62\mathrm{kg}$$ is attached to a smaller mass $$m_2=3.52\mathrm{kg}$$ by a string. The string is hung over a pulley as shown in the figure, and the mass of the pulley and string are negligible compared to the other two masses. Mass $$m_1$$ is started with an initial downward speed of $$2.13\mathrm{m}/\mathrm{s}$$. What is the speed of mass $$m_2$$ after it has moved $$h=2.47$$ meters?