You wish to raise a heavy piano to a second story (y- 8 m) by pulling it with a

Question

You wish to raise a heavy piano to a second story (y- 8 m) by pulling it with a massless rope. You have two choices to move it, and you will move the piano at a constant speed in either case (it is a heavy piano, after all): 1) Place a friction-less board on the stairs, creating a 15 degree incline and pull it up this incline until you reach the second story. 2) Pull the piano straight up to a window via a pulley Will you do more work in one of the cases, or is it the same in both? Explain the reasoning behind your answer

Explanation / Answer

Due to conservation of energy work done in both the cases will be same. Because work done is independent of path , it depends only initial and final position of object.

Work done = mgh (for both cases)

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