An electron of mass 9.11 × 10−³¹ kg moves with a speed of 0.630c.What is its total energy? (c = 3.00 × 10⁸ m/s) A)6.37E-14 J B)2.36E-14 J C)1.63E-14 J D)1.06E-13 J E)1.01E-13 J

Question

Quizplus · Accepted Answer

The total energy of the electron can be calculated using the relativistic energy equation:
E = (γ - 1)mc^2
where γ is the Lorentz factor, m is the mass of the electron, and c is the speed of light.

To calculate γ, we can use the formula:
γ = 1/√(1 - v^2/c^2)
where v is the speed of the electron.

Plugging in the given values, we get:
γ = 1/√(1 - (0.630c)^2/c^2) = 1.46

Plugging γ and m into the energy equation, we get:
E = (1.46 - 1)(9.11 × 10^-31 kg)(3.00 × 10^8 m/s)^2 = 1.06 × 10^-13 J

Therefore, the best choice is D.

An Electron of Mass 9