E=mc²

E=mc², formulê elaqeyê enerci u kutleya.

Formul

E= Enerciye (joule) kalori

m= kutleyê cısım, wexto ke cısım hereket keno, (kilogram)

c= sur'etê roşna, 299792458 hız|metre/saniye

Melumatê formulê bini

$KE=mc^{2}-m_{0}c^{2}$

$KE=mc^{2}-{\frac {m_{0}}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}c^{2}=mc^{2}-{\frac {m_{0}c}{\sqrt {c^{2}-v^{2}}}}$

${\frac {m_{0}v}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}$

$E^{2}=m_{0}^{2}c^{4}+p^{2}c^{2}$ $E={\sqrt {m_{0}^{2}c^{4}+p^{2}c^{2}}}$ rê dengo. E=mc^2

$E={\sqrt {m_{0}^{2}c^{4}+p^{2}c^{2}}}$ n pc $pc={\sqrt {p_{0}^{2}-m_{0}^{2}c^{4}}}$

$p^{2}c^{2}={\frac {m_{0}^{2}v^{2}c^{2}}{1-{\frac {v^{2}}{c^{'}}}}}={\frac {m_{0}^{2}{\frac {v^{2}}{c^{2}}}c^{4}}{1-{\frac {v^{2}}{c^{2}}}}}$

Hesabo peyên:

$p^{2}c^{2}={\frac {m_{0}^{2}c^{4}[{\frac {v^{2}}{c^{2}}}-1]}{1-{\frac {v^{2}}{c^{2}}}}}={\frac {m_{0}^{2}c^{4}}{1-{\frac {v^{2}}{c^{2}}}}}=-m_{0}^{2}c^{4}+m^{2}c^{4}=(mc^{2})^{2}\Rightarrow E=pc$