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A 230 N child is in a swing that isattached to ropes 2.10 m long. Findthe gravit

ID: 1671293 • Letter: A

Question

A 230 N child is in a swing that isattached to ropes 2.10 m long. Findthe gravitational potential energy of the child-Earth systemrelative to the child's lowest position at the following times. (a) when the ropes are horizontal
1 J

(b) when the ropes make a 27.0° angle withthe vertical
2 J

(c) when the child is at the bottom of the circular arc
3 J (a) when the ropes are horizontal
1 J

(b) when the ropes make a 27.0° angle withthe vertical
2 J

(c) when the child is at the bottom of the circular arc
3 J

Explanation / Answer

a) W1 =P*L = 230*2.1 = 483 J b) W2 = P*h =P*L(1-cos(27)) = 52.64 J c) W3 = P*h' = P*0 = 0 J

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