E=mc², formulê elaqeyê enerci u kutleya.
K E = m c 2 − m 0 c 2 {\displaystyle KE=mc^{2}-m_{0}c^{2}}
K E = m c 2 − m 0 1 − v 2 c 2 c 2 = m c 2 − m 0 c c 2 − v 2 {\displaystyle 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}}}}}
m 0 v 1 − v 2 c 2 {\displaystyle {\frac {m_{0}v}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}
E 2 = m 0 2 c 4 + p 2 c 2 {\displaystyle E^{2}=m_{0}^{2}c^{4}+p^{2}c^{2}} E = m 0 2 c 4 + p 2 c 2 {\displaystyle E={\sqrt {m_{0}^{2}c^{4}+p^{2}c^{2}}}} rê dengo. E=mc^2
E = m 0 2 c 4 + p 2 c 2 {\displaystyle E={\sqrt {m_{0}^{2}c^{4}+p^{2}c^{2}}}} n pc p c = p 0 2 − m 0 2 c 4 {\displaystyle pc={\sqrt {p_{0}^{2}-m_{0}^{2}c^{4}}}}
p 2 c 2 = m 0 2 v 2 c 2 1 − v 2 c ′ = m 0 2 v 2 c 2 c 4 1 − v 2 c 2 {\displaystyle 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 = m 0 2 c 4 [ v 2 c 2 − 1 ] 1 − v 2 c 2 = m 0 2 c 4 1 − v 2 c 2 = − m 0 2 c 4 + m 2 c 4 = ( m c 2 ) 2 ⇒ E = p c {\displaystyle 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}
rê dengo. E=mc^2
n pc 
![{\displaystyle 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}](https://wikimedia.org/api/rest_v1/media/math/render/svg/949ebfd2f0de5401ee642570773220bf26986abc)
