ONE FORMULA, ONE ANSWER
Relativistic Kinetic Energy Calculator
Calculate translational kinetic energy using special relativity. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Relativistic kinetic energy K
Enter values and select Calculate.
K = (γ−1)mc²
Assumptions
Required: m>0 and 0≤v<c. m is rest mass. The result is kinetic energy, excluding rest energy. An equivalent expression avoids subtractive cancellation in γ−1 at low speed.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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