Relativistic Momentum Calculator
Calculate relativistic momentum using p = gamma * m * v.
Relativistic Momentum
0.000000 kg·m/s
Relativistic Momentum vs Rest Mass
सूत्र
## 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.
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
Why can't anything with mass reach the speed of light?
As speed increases, relativistic momentum (and thus the energy needed to accelerate further) grows without bound. Reaching c would require infinite energy.
At what speed does relativity become important?
Above about 10% of c (3e7 m/s), relativistic corrections exceed 1%. Particle accelerators routinely deal with speeds above 99% of c.
Do photons have momentum?
Yes. Photons have zero rest mass but carry momentum p = E/c = h/lambda. This is how solar sails and radiation pressure work.
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