A proton moves with a speed of 0.850c.
(a) Calculate its rest energy.
____________________MeV
(b) Calculate its total energy.
___________________ GeV
(c) Calculate its kinetic energy.
____________________ GeV
speed of proton , v = 0.850c
a) for the rest energy
rest energy of proton = m0 * c^2
rest energy of proton = 1.67 *10^-27 * (3 *10^8)^2/(1.602 *10^-19) * 1 *10^-6
rest energy of proton = 938 MeV
b)
for the total energy
total energy = m* c^2
total energy = 1.67 *10^-27 * (3 *10^8)^2/(1.602 *10^-19) * 1 *10^-6/sqrt(1 - 0.85^2)
total energy = 1781 MeV = 1.78 GeV
the total energy is 1.78 GeV
c)
kientic energy of proton = total energy - rest energy
kientic energy of proton = 1.78 - 0.938
kientic energy of proton = 0.842 GeV
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