Relativistic Momentum Calculator
Calculate relativistic momentum: p = gamma * m0 * v, the correct momentum at any speed.
Relativistic Momentum
0.000000000000000000000563635914 kg m/s
Relativistic Momentum vs Rest Mass
सूत्र
## 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.
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
Why does relativistic momentum matter in particle physics?
Particle accelerators push particles to near-light speeds. Using classical momentum would give wildly wrong predictions for collisions and reactions.
How does momentum relate to energy in relativity?
The full energy-momentum relation is E^2 = (pc)^2 + (m0 c^2)^2. For massless particles (photons), E = pc.
Can photons have momentum without mass?
Yes. Photons carry momentum p = E/c = h/lambda despite having zero rest mass. This is why light can exert radiation pressure.
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