Free Relativistic Momentum Calculator
Calculate relativistic momentum: p = gamma * m0 * v, the correct momentum at any speed.
kg
m/s
Relativistic Momentum
0.000000000000000000000563635914 kg m/s
Classical Momentum0.000000000000000000000245760820 kg m/s
Relativistic Momentum vs Rest Mass
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.
Example Calculation
Electron at 0.9c.
- 01gamma = 2.294
- 02p_rel = 2.294 * 9.109e-31 * 2.698e8
- 03p_rel = 5.639e-22 kg m/s
- 04p_classical = 9.109e-31 * 2.698e8 = 2.458e-22 kg m/s
- 05Relativistic is 2.29x larger
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