In the Atwood’s machine of Problem, the mass m2 remains at rest once it hits the floor, bu...

In the Atwood’s machine of Problem, the mass m2 remains at rest once it hits the floor, but the mass m1 continues moving upward. How much higher does m1 go after m2 has landed? Give your answer for the case h = 1.2 m, m1 = 3.7 kg, and m2 = 4.1 kg.

Problem

The two masses in the Atwood’s machine shown in Figure are initially at rest at the same height. After they are released, the large mass, m2, falls through a height h and hits the floor, and the small mass, m1, rises through a height h. (a) Find the speed of the masses just before m2 lands, giving your answer in terms of m1, m2, g, and h. Assume the ropes and pulley have negligible mass and that friction can be ignored. (b) Evaluate your answer to part (a) for the case h = 1.2 m, m1 = 3.7 kg, and m2 = 4.1 kg.

FIGURE