This exchange of potential energy to kinetic energy is due to the conservation of energy principle. As the child swings upward, she gains potential energy since she is being lifted against the force of gravity. This potential energy is then converted back into kinetic energy as she swings downward, accelerating due to gravity's pull.
At the highest point of the swing, when the child momentarily stops moving upwards before descending, all her potential energy is stored. This potential energy is then gradually converted into kinetic energy as she starts swinging downward.
As the swing reaches its lowest point, the child's potential energy is at its minimum since she is closest to the ground. At this point, almost all the potential energy has been transformed into kinetic energy, resulting in the highest kinetic energy of the swinging system.
After reaching the lowest point, the kinetic energy begins to decrease as the child swings upward again, converting it back into potential energy. This energy conversion continues as the child swings back and forth, with the total energy (potential + kinetic) remaining constant.
The maximum potential energy of the child on the swing occurs when the child is at the highest point of the swing's arc. At this point, the child has the most potential to convert the potential energy into kinetic energy as she swings downwards. The maximum kinetic energy occurs when the child is at the lowest point of the swing's arc. At this point, the child is moving at her fastest speed, thus having the highest amount of kinetic energy.
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