3) Two blocks (1 and 2) of equal mass hang from the massless, frictionless pulley system in Figure 1. (i) If block 2 is displaced by Ayz, what is the displacement Ayl of block 1? Justify your answer. If block 2 moves with velocity v2, with what velocity 1;] does block 1 move? (ii) If block 2 moves downward a distance Ahg. What is the corresponding change in the potential energy AU of the two-block system in terms of m, g and Ahz? (iii) Like a ball on a hill, any system will want to move towards a state of lower potential energy. Based on this energy argument, explain which way block 2 will move if the system is released from rest? (iv) The blocks, originally at rest, are released. Find the kinetic energy of the total system and the velocities v1 and '02 of blocks 1 and 2 after block 2 moves through a distance Ah2