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Nonetheless,
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the momentum and energy will balance on the two sides for you as well.
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Yes? Pardon me?
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No. You've got to be very careful about what you mean by mass.
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Some people think of mass
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as m divided by square root of 1 minus v square root.
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I never want to take that point of view.
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The only mass is the rest mass,
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and nobody will disagree on what the rest mass of a particle is.
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Do you understand that?
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I may think the particle is at rest;
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you may think it's moving.