Free Relativistic Momentum Calculator
Calculate relativistic momentum using p = gamma * m * v.
kg
Relativistic Momentum
0.000000 kg·m/s
Lorentz Factor (gamma)2.2942
Classical Momentum0.000000 kg·m/s
Relativistic Momentum vs Rest Mass
Relativistic Momentum
At speeds approaching the speed of light, classical momentum (p = mv) is insufficient. Special relativity modifies the formula.
Formula
p = gamma * m * v = m * v / sqrt(1 - v²/c²)
As v approaches c, momentum approaches infinity, which is why massive objects cannot reach the speed of light.
Example Calculation
An electron (m = 9.109e-31 kg) at 0.9c.
- 01gamma = 1/sqrt(1 - 0.81) = 1/sqrt(0.19) = 2.294
- 02v = 0.9 * 2.998e8 = 2.698e8 m/s
- 03Classical p = m*v = 9.109e-31 * 2.698e8 = 2.458e-22 kg·m/s
- 04Relativistic p = gamma*m*v = 2.294 * 2.458e-22 = 5.639e-22 kg·m/s
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