The first one is an example, but i cant get the 2ndpart. Compute a total energy

Question

The first one is an example, but i cant get the 2ndpart.
Compute a total energy and a relativistic kineticenergy.

Problem An electron moves with a speed v =0.850c. Find its total energy and kinetic energy in megaelectron volts (MeV) and compare the latter to the classicalkinetic energy (106 eV = 1 MeV).

Strategy Substitute to get the total energy and subtract the restmass energy to obtain the kinetic energy. SOLUTION Substitute values to obtain the totalenergy. = 0.973 MeV The kinetic energy is obtained by subtractingthe rest energy from the total energy. KE = E -mec2 = 0.973 MeV - 0.511 MeV = 0.462MeV The kinetic energy is obtained by subtractingthe rest energy from the total energy. KE = E -mec2 = 0.973 MeV - 0.511 MeV = 0.462MeV KE = E -mec2 = 0.973 MeV - 0.511 MeV = 0.462MeV Calculate the classical kinetic energy: KEclassical =½mev2 E = mec2 = (9.11 10-31 kg)(3.00 108 m/s)2 1 - v2/c2 1 - (0.850c/c)2

Explanation / Answer

The rest mass of the proton is 938 Mev / c2 The total energy E = m c2 = 938 Mev / (1 -.5962) = 1168 Mev Ek = E - E0 = 1168 - 938 = 230 Mev The total energy E = m c2 = 938 Mev / (1 -.5962) = 1168 Mev Ek = E - E0 = 1168 - 938 = 230 Mev

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