How to use the lorentz factor and relativistic energy calculator
Find the Lorentz factor and kinetic energy of an object moving at a large fraction of light speed. Enter speed as fraction of light speed, rest mass in the fields above; the lorentz factor, kinetic energy are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “relativistic energy”, “Lorentz factor calculator”, “kinetic energy near light speed”, “calculate lorentz factor and relativistic energy”, “find lorentz factor”.
Formula
Variables
- beta — Speed as fraction of light speed
- m — Rest mass (kg)
Worked example
With speed as fraction of light speed = 0.9, rest mass = 1 kg, the calculator gives lorentz factor ≈ 2.294157; kinetic energy ≈ 1.1631 × 10¹⁷ J.
Frequently asked questions
What is the lorentz factor and relativistic energy calculator used for?
Find the Lorentz factor and kinetic energy of an object moving at a large fraction of light speed. It helps with questions such as “relativistic energy”, “Lorentz factor calculator”, “kinetic energy near light speed”.
What is the formula for the lorentz factor and relativistic energy calculation?
Lorentz factor = 1 / √(1-beta × beta). Kinetic energy (J) = ([Lorentz factor]-1) × m × CLIGHT × CLIGHT. Here beta is speed as fraction of light speed, m is rest mass (kg).
What inputs do I need for the lorentz factor and relativistic energy calculator?
You need speed as fraction of light speed, rest mass in kg. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the lorentz factor and relativistic energy calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the lorentz factor and relativistic energy result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.