Question

Qual fator de Lorentz para v=0,4c (velocidade restritiva)
a)5√21/21
b)10√84/84
c)5/4
d)3/5

Answer 1

$\gamma = \frac{1}{ \sqrt{1 - \beta ^2} } \\ \gamma = \frac{1}{ \sqrt{1 - (\frac{v}{c} )^2} } \\ \gamma = \frac{1}{ \sqrt{1 - (\frac{0,4c}{c} )^2} } \\ \gamma = \frac{1}{ \sqrt{1 - 0,16} } = \frac{1}{ \sqrt{0,84} }$
$\gamma = \frac{1}{ \sqrt{84/100} } = \frac{10}{ \sqrt{84}}$