Relativistic Momentum CalculatorFórmula

## Relativistic Momentum

Classical momentum (p = mv) is only an approximation at low speeds. The correct formula includes the Lorentz factor.

### Formula

**p = gamma * m0 * v**

As v approaches c, momentum grows without bound even though the velocity barely changes. This is why it takes infinite energy to accelerate a massive particle to c.

Ejemplo Resuelto

Electron at 0.9c.

  1. gamma = 2.294
  2. p_rel = 2.294 * 9.109e-31 * 2.698e8
  3. p_rel = 5.639e-22 kg m/s
  4. p_classical = 9.109e-31 * 2.698e8 = 2.458e-22 kg m/s
  5. Relativistic is 2.29x larger