(Solved): In the figure, two blocks of mass \( m_{1} \) and \( m_{2} \), respectively are connected by massl ...

In the figure, two blocks of mass \( m_{1} \) and \( m_{2} \), respectively are connected by massless pulleys and rope. Block \( m_{1} \) is heavy enough to fall, and it falls at a distance \( H \). a) During this process, the work done by the gravitational force on block \( m_{1} \) [circle one] A) positive B) negative C) zero b) The work done by the tension force on block \( m_{2} \) is [circle one] A) positive B) negative C) zero c) Let the work done by the tension in the rope on block \( m_{1} \) is \( W_{T 1} \) and the work done by the tension on block \( m_{2} \) is \( W_{T 2} \). What is the ratio between \( W_{T 1} \) and \( W_{T 2} \) ? Your answer: \( \frac{W_{T 2}}{W_{T 1}}= \) d) The block \( m_{2} \) rises up a distance \( h_{2} \). What is \( h_{2} / H \) ? Your answer: \( \frac{h_{2}}{H}= \) e) We choose the positive direction of \( y \)-axis downward. Let the velocities of blocks be \( v_{1 y} \) (for \( m_{1} \) ) and \( v_{2 y} \) (for \( m_{2} \) ), respectively. Find the velocity ratio of the two blocks. Your answer: \( \frac{v_{2 y}}{v_{1 y}}= \)