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A child with a weight of 220 N swings on a playground swing attached to 1.90-m-long chains. What is 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
(b) when the ropes make a 25.0° angle with the vertical
(c) when the child is at the bottom of the circular arc

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Answer:

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

Explanation:

When the ropes are horizontal, the child is not moving. He has the lowest kinetic energy but the highest gravitational potential energy

As the child starts swinging downwards, the gravitational potential energy is being converted to kinetic energy so the gravitational potential energy is decreasing and kinetic energy is increasing. This means at a 25°, the gravitational potential energy will be more than when the child is at the bottom of the arc which is when it is at its lowest and the kinetic energy is at it's highest.

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