A proton has a total energy of 2.5 × 10−10 J. How fast is it moving? (mp = 1.67 × 10−27 kg)
A)0.90c
B)0.80c
C)0.70c
D)0.60c
E)0.40c

Question

Quizplus · Accepted Answer

The total energy of a particle is given by E = γmc², where γ is the Lorentz factor. Solving for γ using E = 2.5 × 10⁻¹⁰ J and m = 1.67 × 10⁻²⁷ kg, we find γ ≈ 1.67, which corresponds to a velocity of approximately 0.80c.

A Proton Has a Total Energy of 2