
#1
Mar1005, 11:55 AM

P: 93

How much mass does an electron gain if it is accelerated to an energy of 500 MeV?
My solution: I am using the mass of the electron in terms of "energy units"... that is m_e = 0.511 MeV/c^2 where c is the speed of light. The total energy is E = Eo + ke, where ke is kinetic energy Am I right here... mc^2 = m_ec^2 + ke? I mean.. should my E be mc^2/(1  v^2/c^2)^(1/2)? I am confused.. but if I were to use that "relativistic" formula, I am not given the value of v. Then m = m_e + ke/c^2. Let m_e = 0.511 MeV/c^2 and ke = 500MeV m = 500.511 MeV/c^2 Converting this mass to kilograms results to m = 8.9 x 10^28 kg. 


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