LekcjeRazem

Czynnik Lorentza w $X$: $\gamma_{X}=\dfrac{1}{\sqrt{1-(1/3)^{2}}}=\dfrac{1}{\sqrt{8/9}}\approx 1,061$.

Praca pola: $eU=\Delta E_{k}=(\gamma_{Y}-\gamma_{X})E_{0}$, więc $\gamma_{Y}-\gamma_{X}=\dfrac{eU}{E_{0}}=\dfrac{1,50\cdot 10^{5}}{5,11\cdot 10^{5}}\approx 0,294$, stąd $\gamma_{Y}\approx 1,354$.

$\dfrac{v_{Y}}{c}=\sqrt{1-\dfrac{1}{\gamma_{Y}^{2}}}=\sqrt{1-\dfrac{1}{1,354^{2}}}\approx 0,674$.