Relativistic Kinetic Energy Calculator
Free calculate kinetic energy for objects moving at speeds close to the speed of light using special relativity.
Input Parameters
Enter as fraction of c (e.g., 0.5 for 0.5c)
Results
Enter mass and velocity to calculate
Relativistic Kinetic Energy Formula
Relativistic KE
KE = (γ - 1) × m₀ × c²
Where:
- • KE = kinetic energy (J)
- • γ = Lorentz factor
- • m₀ = rest mass (kg)
- • c = speed of light
Lorentz Factor
γ = 1 / √(1 - v²/c²)
As v approaches c, γ → ∞ and KE → ∞
Classical Approximation
KE ≈ ½mv² (for v << c)