A proton in a large accelerator has a kinetic energy of 175 GeV. (a) Compare this kinetic energy to the rest energy of the proton.  Find an approximate expression for the proton's kinetic energy. (Use the following as necessary: γ, mp for the mass of proton, and c for the speed of light. In this case,  (γ − 1) ≈ γ.) KE =        (b) Find the speed of the proton. (The rest energy of a proton is 938.3 MeV. Enter your answer to five decimal places.)   c

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