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A rope with a length of 12.0m is rapped around a rim of amerry-go-round of radiu

ID: 1728625 • Letter: A

Question

A rope with a length of 12.0m is rapped around a rim of amerry-go-round of radius 2.0m. The merry go round has a mass of45.kg. Assume the axis of the ride is frictionless: we could treatmerry go round as a solid disc. A child of mass 35.0kg stands onthe edge of the merry-go-round: which we treated the child as apoint of mass. The merry-go-round is initially at rest.

A) Carlos pulls on the rope with a constant tension of 450 N.Assuming the rope does not slip along the rim, how much work doesCarlos do on the ride after the rope has been pulled from therim?

B) What is the angular speed of the ride after the entire rope hasbeen pulled from the rim?

C) At another point later, the child gets tired of the ride, so hejumps from the rim with a speed of 17m/s relative to the ground.The direction of his leap is tangential to the rim (as he leaps,his velocity points in the same direction as before the leap). Whatis the angular speed of the merry-go-round after the child jumpsoff the ride?

Explanation / Answer

Got the test back today and went over it. I think I got thistotally wrong haha

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