(Solved): Two blocks are connected by a light string that passes over a frictionless pulley as in the figure b ...

Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released from rest while \( m_{2} \) is on the floor and \( m_{1} \) is a distance \( h \) above the floor. (a) Assuming \( m_{1}>m_{2} \), find an expression for the speed of \( m_{1} \) just as it reaches the floor. (Use any variable or symbol stated above along with the following as necessary: \( g \).) \[ v_{f}= \] (b) Taking \( m_{1}=6.6 \mathrm{~kg}, m_{2}=4.1 \mathrm{~kg} \), and \( h=3.6 \mathrm{~m} \), evaluate your answer to part (a). \[ \mathrm{m} / \mathrm{s} \] (c) Find the speed of each block when \( m_{1} \) has fallen a distance of \( 1.2 \mathrm{~m} \). \[ \mathrm{m} / \mathrm{s} \]