An electron of mass 9.11 *10 ^- ³¹ kg moves with a speed of 0.800c. What is its total energy? (c = 3.00 *10⁸m/s) A) 13.7 * 10 ^- ¹⁴ J B) 10.2*10 ^- ¹⁴ J C) 4.80 *10 ^- ¹⁴ J D) 7.30 *10 ^- ¹⁴ J

Question

Quizplus · Accepted Answer

The total energy of an electron moving at relativistic speeds is given by E = γmc², where γ = 1/√(1-v²/c²). For v = 0.800c, γ ≈ 1.666. Substituting the values, E ≈ 1.666 × 9.11 × 10⁻³¹ kg × (3.00 × 10⁸ m/s)² ≈ 13.7 × 10⁻¹⁴ J.

An Electron of Mass 9