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Once they start moving,
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it's like a pendulum
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with the initial momentum, or energy.
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It can climb up to the top and convert the potential to kinetic,
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or kinetic to potential.
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There is no loss of energy in that process.
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Therefore, if you extract this velocity
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and took (1 / 2) times this velocity squared,
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you may in fact equate that to g·h.
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So, let me summarize this last result.
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In every collision,
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no matter what, momentum is conserved;