If a proton has a kinetic energy of 1.000 GeV,what is its momentum? (m_p = 938.0 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 relativistic momentum p can be calculated using the relation E² = (pc)² + (m₀c²)². Here, E = 1.000 GeV + 0.938 GeV = 1.938 GeV. Solving for p gives p = √[(1.938 GeV)² - (0.938 GeV)²] = 1.696 GeV/c.

If a Proton Has a Kinetic Energy of 1