A 270-N child is in a swing that is attached to a pair of ropes 1.80...

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A 270-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child-Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal J (b) when the ropes make a 31.0° angle with the vertical (c) when the child is at the bottom of the circular arc A 270-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child-Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal J (b) when the ropes make a 31.0° angle with the vertical (c) when the child is at the bottom of the circular arc