Kaon in an accelerator, Lorentz transformation problem

[Bowenwww]

Homework Statement

Ok so a Kaon (m = 500MeV) is accelerated from rest along the z-axis to a final energy of 5GeV, I need to find two factors of a lorrentz transformation β and γ and write a four vector for this.

Homework Equations

β=p/E γ=E/m

The Attempt at a Solution

I have calculated this using the above equations but I don't know if I've gone about it the right way.

I have β≈1 and γ=10 - can anyone tell me if this is anything like what it should be??

Thanks,

K xoxo

 

[vela]

Your result for $\gamma$ is right, but you could be a bit more precise about what $\beta$ equals.

 

[Bowenwww]

Yeah it's actually 0.995 or something like that, it's just it seems from the nature of the question that it would require more work than that - I also don't understand where these components fit into a 4-vector?

Thanks for this,

K xx

 

[vela]

The energy-momentum four-vector is simply $p^\mu = (E, p_x, p_y, p_z)$, where E is the total energy and the p_i's are the particle's three-momentum.