A child on a swing is not being pushed and is not pumping her legs and arms. As a result, the swing slows down and eventually stops. How can this be explained using the concept of the law of conservation of energy?Multiple choice question.Mechanical energy is only conserved for small increments of time.The total mechanical energy of the system is constant.Mechanical energy is only conserved when gravity is not acting on the system.Mechanical energy is being converted to other forms of energy.
Question
A child on a swing is not being pushed and is not pumping her legs and arms. As a result, the swing slows down and eventually stops. How can this be explained using the concept of the law of conservation of energy?Multiple choice question.Mechanical energy is only conserved for small increments of time.The total mechanical energy of the system is constant.Mechanical energy is only conserved when gravity is not acting on the system.Mechanical energy is being converted to other forms of energy.
Solution
The correct answer is: Mechanical energy is being converted to other forms of energy.
Here's the explanation:
The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. In the case of the child on the swing, the system starts with a certain amount of mechanical energy (in the form of kinetic and potential energy) when the swing is in motion.
As the swing moves, some of this mechanical energy is converted into other forms of energy, such as heat and sound, due to air resistance and friction at the pivot point of the swing. This is why the swing slows down and eventually stops if no additional energy is added to the system (like pushing the swing or the child pumping her legs).
So, the total energy of the system remains constant, but the mechanical energy decreases because it's being converted to other forms of energy.
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