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I didn't know I was going home for lunch,
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because I was not going to proceed
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until I got the right answer.
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The right answer is, when you define a potential,
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there is a freedom to add a constant to the definition of the potential.
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If you look at every theorem, everything I derived,
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including the stuff I've hidden under the board,
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U1 - U2 is what enters everywhere;
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the change in kinetic energy is U1 - U2.
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Therefore, one has a freedom in defining the potential
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to add a constant,
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and what has happened is that the person working with this potential