If a proton has a kinetic energy of 1.000 GeV, what is its momentum? (m_p = 938.3 MeV/c²) A) 1.938 GeV/c B) 1.000 GeV/c C) 938.0 GeV/c D) 2.872 GeV/c E) 1.696 GeV/c

Question

Quizplus · Accepted Answer

The momentum of a particle can be calculated using the formula p = sqrt(E^2 - m^2c^4)/c, where E is the kinetic energy, m is the mass of the particle, and c is the speed of light.

Substituting the values given in the question, we get:

p = sqrt((1.000 GeV)^2 - (938.3 MeV/c^2)^2)/c

= sqrt(1.000^2 - 0.880^2) * (10^9 eV / 3 * 10^8 m/s)

= 1.696 GeV/c

Therefore, the correct answer is E.

If a Proton Has a Kinetic Energy of 1