Finding electron speed from E2 = c2p2 + m2c4

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Homework Statement


Printed exam question 3 on relativistic particles: expressions for E, p and T, showing E squared equals p c squared plus m c to the fourth, a photon-electron collision, and showing electron speed v equals c over the square root of one plus (mc squared over E) squared.

Homework Equations


E = γmc2
p = γmv
K = E - mc2
E2 = c2p2 + m2c4

The Attempt at a Solution


I have completed most of this question, but I am struggling to get the required result to the final part of the question.[/B]
 
Attachments
  • Printed exam question: Using the fact that the electron momentum is E/c, show that its speed is v = c divided by the square root of (1 + (mc^2/E)^2), with [7 marks] noted.
    upload_2017-12-24_11-25-8.png
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  • Printed exam question 3 on relativistic particles: expressions for E, p and T, showing E squared equals p c squared plus m c to the fourth, a photon-electron collision, and showing electron speed v equals c over the square root of one plus (mc squared over E) squared.
    upload_2017-12-24_11-47-57.png
    43.9 KB · Views: 1,077
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Please note that forum guidelines require you to show your attempted solution. Without it, how are we supposed to see where you have gone wrong?

Also, please include (and preferably type out) the entire question. It seems to me that what you have given is a part of a larger question. Taken out of context, the question makes no sense since the energy divided by c is only the momentum for a massless particle, which the electron is not.
 
Orodruin said:
Please note that forum guidelines require you to show your attempted solution. Without it, how are we supposed to see where you have gone wrong?

Also, please include (and preferably type out) the entire question. It seems to me that what you have given is a part of a larger question. Taken out of context, the question makes no sense since the energy divided by c is only the momentum for a massless particle, which the electron is not.

I've posted the rest of the question. My attempts at this part of the question are lots of messy algebraic manipulations. I'd just like to know the correct way to approach the problem.
 
The forum rules require you to provide your attempt. It is not optional Nobody here is going to reply unless you do since that would also break forum rules.