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please answer An electron has a speed of 0.78 c. (The rest energy for an electro

ID: 2108844 • Letter: P

Question

please answer

An electron has a speed of 0.78 c. (The rest energy for an electron is 0.511 MeV, and the rest energy of a proton is 938.3 MeV.) Find the speed of a proton that has the same kinetic energy as the electron. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. c Find the speed of a proton that has the same momentum as the electron. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. km/s

Explanation / Answer

a)

K_p = K_e

(gamma_p -1) m0_p = (gamma_e -1) m0_e

(1/(1 - v^2)^0.5 - 1) * 938.3 = (1/(1 - v^2)^0.5 - 1) * 0.511

(1/(1 - v^2)^0.5 - 1) * 938.3 = (1/(1 - 0.78*0.78)^0.5 - 1) * 0.511

==> v = 0.0255 c