Step 1:
We start by using the relativistic velocity addition formula, which is given by:
\[v_{pl} = \frac{v_{pe} + v_{el}}{1 + \frac{v_{pe}v_{el}}{c^2}}\]
where \(v_{pl}\) is the speed of the proton with respect to the laboratory, \(v_{pe}\) is the speed of the
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