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Where do I make the approximations in this proton and electron collision problem?

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A proton moving with a velocity $\beta c$ collides with a stationary electron of mass $m$ and knocks it off at an angle $\theta$ with the incident direction. Show that the energy imparted to the electron is approximately $$T \approx \frac{2\beta^2 \cos^2\theta}{1-\beta^2\cos^2\theta}mc^2$$

Link to question :
https://www.chegg.com/homework-help/questions-and-answers/proton-moving-velocity-collides-stationary-electron-mass-m-knocks-angle-incident-direction-q35643739?trackid=VRP2b2Jt

asked Mar 17 in Physics Problems by lguy4 (100 points)
edited Mar 17 by sammy gerbil
How much of the calculation have you done? What result do you get? At what point are you having difficulty?

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