Using Work and Energy to Calculate Tension Consider the Atwood’s machine shown in Figure, with h = 1.2 m, m1 = 37 kg, and m2 = 4.1 kg. In this problem, we show how to calculate the tension in the rope using energy and work, rather than Newton’s laws. (a) Is the change in mechanical energy for block 2 as it drops through the height h positive, negative, or zero? Explain. (b) Use energy conservation applied to the entire system to calculate the change in mechanical energy for block 2 as it drops through the height h. (c) Use your answer to part (b), and the known drop height, to find the magnitude of the tension in the rope.
FIGURE
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