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If you say what are the unknowns and what are the knowns,
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let's be very clear.
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The photon has a known momentum and known energy.
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That's given to you.
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Initial me has a mass m that's given to you.
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Your job is to find the unknown mass m' and the unknown velocity.
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Two equations for two unknowns,
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but they're not simple linear equations where you can add and subtract.
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The simple linear equations are multiply this by three,
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multiply that by four and subtract,
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and you'll get what you want.
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But it's more complicated.