An electron with (rest mass (m\_0)) moves with a speed of 0.... | Physics | SolveeIt | Solveeit

Today, August 24

Question

An electron with (rest mass $m_0$ ) moves with a speed of 0.8 c. Its mass when it moves with this speed is

A

$m_0$

B

$\frac{m_0}{6}$

C

$\frac{5m_0}{3}$

D

$\frac{3m_0}{5}$

Answer

$\frac{5m_0}{3}$

Explanation

Solution

$m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}=\frac{m_0}{\frac{c^2-(0.8c)^2}{c^2}}=\frac{5m_0}{3}$