What is the total energy of an electron moving with a speed of 0.950c? (c = 3.0 × 10⁸ m/s,m_el = 9.11 × 10^-31 kg) A)2.6 × 10^-13 J B)8.2 × 10^-14 J C)1.1 × 10^-13 J D)1.2 × 10^-14 J

Question

Quizplus · Accepted Answer

The total energy of an electron moving with a speed of 0.950c can be calculated using the relativistic formula for kinetic energy: 
KE = (γ - 1)mc^2 
where γ is the Lorentz factor given by γ = 1/√(1 - v^2/c^2), m is the mass of the electron, c is the speed of light, and v is the speed of the electron. 
Plugging in the given values, we get: 
v = 0.950c 
m = 9.11 × 10^-31 kg 
c = 3.0 × 10^8 m/s 
γ = 1/√(1 - v^2/c^2) = 3.2 
KE = (γ - 1)mc^2 = (3.2 - 1) × 9.11 × 10^-31 kg × (3.0 × 10^8 m/s)^2 = 2.6 × 10^-13 J. 
Therefore, the correct answer is A.

What Is the Total Energy of an Electron Moving with a Speed