A 25 kg child sits in a swing that is attached to ropes 1.6 m long. Find the potential energy of the child relative to his lowest position when the ropes (a) are horizontal, (b) are vertical, and (c) make 30-degrees with the horizontal.   How did it arrive with the answers: a) Ugravitational = 390 J b) UGvertical = 0  c) U = 200 J

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