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will give different numbers.
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So, the answer cannot simply be U1 - U2.
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First, I'm trying to convince you,
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through an example that I selected randomly,
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that if you took a random force and
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found the work done along one path, or another path,
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you will in fact get two different answers, okay?
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That's the first thing, to appreciate that there's a problem.
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So generally, if we took a random force,
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not a frictional force,
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a force that depends only on location and not velocity,
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it will not be possible to define a potential energy