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Why does a perpetual motion machine of the first kind violate the law of conservation of energy?

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Answer
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Hint: First we will define the perpetual motion machine of the first kind then in the next step we will define the conservation of energy. Then compare both the definitions with each other and from that we can see that their output in both the cases are different and that will be our solution.

Complete step by step answer:
Perpetual motion machine of first kind:
It is a type of machine that can do its work indefinitely without any input energy and at the same time the output energy is larger than the input energy.
Law of conservation of energy:
This law states that energy cannot be created or destroyed or we can say energy can transform from one state to another and the total energy will remain constant in a system.
Now both statements contradict each other. As in a perpetual motion machine of the first kind, output is larger than the input and at the same time it even works with zero input energy that is not possible unless energy is created. And for this reason it violates the law of conservation of energy.

Note: If a perpetual motion machine of the first kind does not violate the law of conservation of energy then the motion will start working having some input energy. This also violates the first law of thermodynamics and its efficacy is also greater than one as the output is larger than the input which is not possible.