Relativistic Momentum Calculator — Formule
## 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.
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.
Exemple Résolu
An electron (m = 9.109e-31 kg) at 0.9c.
- gamma = 1/sqrt(1 - 0.81) = 1/sqrt(0.19) = 2.294
- v = 0.9 * 2.998e8 = 2.698e8 m/s
- Classical p = m*v = 9.109e-31 * 2.698e8 = 2.458e-22 kg·m/s
- Relativistic p = gamma*m*v = 2.294 * 2.458e-22 = 5.639e-22 kg·m/s