E=mc²

Walk of Ideas, Almanya

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

$KE=m{c}^2-m_0{c}^2$

$KE=m{c}^2-\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}{c}^2=m{c}^2-\frac{m_{0}c}{\sqrt{c^2-v^2}}$

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

$E^2=m_0^2{c}^4+p^2{c}^2$ $E=\sqrt{m_0^2{c}^4+p^2{c}^2}$ rê dengo. E=mc^2

$E=\sqrt{m_0^2{c}^4+p^2{c}^2}$ n pc $pc=\sqrt{p_0^2-m_0^2{c}^4}$

$p^2{c}^2=\frac{m_0^2{v}^2{c}^2}{1-\frac{v^2}{c^{\text{'}}}}=\frac{m_0^2\frac{v^2}{c^2}{c}^4}{1-\frac{v^2}{c^2}}$

Hesabo peyên:

$p^2{c}^2=\frac{m_0^2{c}^4[\frac{v^2}{c^2}-1]}{1-\frac{v^2}{c^2}}=\frac{m_0^2{c}^4}{1-\frac{v^2}{c^2}}=-m_0^2{c}^4+m^2{c}^4=(m{c}^2{)}^2\Rightarrow E=pc$