How much work is done by each of the three forces ? The two ropes seen In the figure are used to lower a 255 kg piano 6

Physics Jan 21, 2021

How much work is done by each of the three forces ?

The two ropes seen In the figure are used to lower a 255 kg piano 6.00 m from a second-story window to the ground.

Expert Solution

The horizontal forces must sum to zero:
1830N*cos60 = 1295N*cos45
915 N = 915 N √

The vertical forces must sum to zero (assuming "constant velocity"):
1830N*sin60 + 1295N*sin45 = 255kg * 9.8m/s²
2500 N = 2500 N √

The work done by gravity is 2500N * 6m = 15000 J

The work done by T1 is -1830N * sin60 * 6m = -9511.11 J
The work done by T2 is -1295N * sin45 * 6m = -5488.88 J
Total work done by the two cables is -15000 J

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