Froskoy
- 26
- 0
Hi,
I'm trying to get my head around how velocity vectors work in special relativity. For example, in classical mechanics, the magnitude of the velocity would be given by:
[tex]v^2 = \sqrt{v_x^2 + v_y^2 + v_z^2}[/tex]
where [itex]v_x[/itex], [itex]v_y[/itex] and [itex]v_z[/itex] are the [itex]x[/itex], [itex]y[/itex] and [itex]z[/itex] components of the velocity respectively.
What is the equivalent formula for use in special relativity. For example, if you knew the magnitude of the velocity, [itex]v[/itex] and the [itex]x[/itex] component of the velocity, what formula would you use to work out the [itex]y[/itex] component?
With very many thanks,
Froskoy.
I'm trying to get my head around how velocity vectors work in special relativity. For example, in classical mechanics, the magnitude of the velocity would be given by:
[tex]v^2 = \sqrt{v_x^2 + v_y^2 + v_z^2}[/tex]
where [itex]v_x[/itex], [itex]v_y[/itex] and [itex]v_z[/itex] are the [itex]x[/itex], [itex]y[/itex] and [itex]z[/itex] components of the velocity respectively.
What is the equivalent formula for use in special relativity. For example, if you knew the magnitude of the velocity, [itex]v[/itex] and the [itex]x[/itex] component of the velocity, what formula would you use to work out the [itex]y[/itex] component?
With very many thanks,
Froskoy.
