- #1
Abigale
- 56
- 0
Hello,
I regard a particle in an accelerator. The particle has the kinetic energy of 7TeV.
I have callculated the momentum $$
E=pc+mc^2\\
\Rightarrow p=\frac{1}{c} \sqrt{E^2 -(mc^2)^2} =7,00094~ TeV/c
$$
After that I want to callculate the "velocity" and the "[itex] \gamma[/itex]-factor".
But I am irritated and don't know which equations are allowed for this relativistic callculations.
For example I have found the equation $$
\vec{p}=m\gamma\vec{v}$$
and
$$
\gamma=\frac{1}{\sqrt{(1-\beta)}}~~~~~~~;\beta=\frac{v}{c}=\frac{pc}{E}
$$
THX
Abby
I regard a particle in an accelerator. The particle has the kinetic energy of 7TeV.
I have callculated the momentum $$
E=pc+mc^2\\
\Rightarrow p=\frac{1}{c} \sqrt{E^2 -(mc^2)^2} =7,00094~ TeV/c
$$
After that I want to callculate the "velocity" and the "[itex] \gamma[/itex]-factor".
But I am irritated and don't know which equations are allowed for this relativistic callculations.
For example I have found the equation $$
\vec{p}=m\gamma\vec{v}$$
and
$$
\gamma=\frac{1}{\sqrt{(1-\beta)}}~~~~~~~;\beta=\frac{v}{c}=\frac{pc}{E}
$$
THX
Abby