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https://texercises.com/exercise/energy-momentum-relation/
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Exercise:
Verify the relativistic energy-momentum relation E^ pc^+mc^^ using the expressions for the relativistic energy and momentum.

Solution:
The left-hand side can be written as E^ gamma^ E_^ gamma^ m c^^ The right-hand side is pc^ + mc^^ gamma m v c^ + mc^^ m^ c^ leftgamma^ v^+ c^right m^ c^ leftfracv^-leftv/cright^+c^right m^ c^ leftfracv^+c^-v^-leftv/cright^right m^ c^ gamma^ gamma^ mc^^ quad square
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Exercise:
Verify the relativistic energy-momentum relation E^ pc^+mc^^ using the expressions for the relativistic energy and momentum.

Solution:
The left-hand side can be written as E^ gamma^ E_^ gamma^ m c^^ The right-hand side is pc^ + mc^^ gamma m v c^ + mc^^ m^ c^ leftgamma^ v^+ c^right m^ c^ leftfracv^-leftv/cright^+c^right m^ c^ leftfracv^+c^-v^-leftv/cright^right m^ c^ gamma^ gamma^ mc^^ quad square
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special relativity
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energy-momentum, lorentz factor
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ENG (English)
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