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If the total energy is positive,
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it can go to infinity.
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And zero is the borderline case.
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So, why is it that if the total energy is negative,
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the body can never run off to infinity?
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Can anyone think of a contradiction you would have,
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if a body of negative energy found itself at infinity?
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Yes?
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No, at infinity the potential energy is zero.
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What about kinetic energy?
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Some positive number, right?
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But its initial energy was negative,