A proton in a certain particle accelerator has a kinetic energy that is equal to its rest energy. What is the TOTAL energy of the proton as measured by a physicist working with the accelerator? (c = 3.00 × 10⁸ m/s, mproton = 1.67 × 10^-27 kg) A) 5.69 × 10^-11 J B) 1.50 × 10^-10J C) 2.07 × 10^-10 J D) 3.01 × 10^-10 J E) 8.77 × 10^-10 J

Question

Quizplus · Accepted Answer

The total energy of the proton is given by:
E = K + rest energy
where K is the kinetic energy.
Since the kinetic energy is equal to the rest energy, we have:
E = 2(rest energy)
The rest energy of the proton is given by:
E0 = mc^2
where m is the mass of the proton.
Substituting the given values, we get:
E0 = (1.67 × 10^-27 kg)(3.00 × 10^8 m/s)^2
E0 = 1.51 × 10^-10 J
Therefore, the total energy of the proton is:
E = 2E0
E = 3.01 × 10^-10 J
Thus, the best choice is D.

A Proton in a Certain Particle Accelerator Has a Kinetic