Question

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

Answer 1

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