Question H3.1: Find the speed of a particle whose total energy is double it...
Find the speed of a particle whose total energy is double its rest energy.
We have that
\begin{aligned}E &=\gamma m_{0} c^{2} \\2 m_{0} c^{2} &=\gamma m_{0} c^{2} \\\Rightarrow \gamma &=2\end{aligned}\Rightarrow \sqrt{1-\frac{v^{2}}{c^{2}}}=\frac{1}{2}
\Rightarrow 1-\frac{v^{2}}{c^{2}}=\frac{1}{4}
\Rightarrow \frac{v^{2}}{c^{2}}=\frac{3}{4}
\Rightarrow v=\frac{\sqrt{3}}{2} c=0.866 c
Related Answered Questions
Question: H3.5
Verified Answer:
(a) The gamma factor at a speed of 0.95 c is
[late...
Question: H3.6
Verified Answer:
In Newtonian mechanics, a constant force produces ...
Question: H3.4
Verified Answer:
(a) The total energy of the electron will increase...
Question: H3.3
Verified Answer:
Since the total energy is given by E=\gamma...
Question: H3.2
Verified Answer:
(a) The rest energy is
\begin{aligned}E &am...