免费相对论动量计算器

计算高速粒子的相对论动量p=γmv。

kg
m/s

Relativistic Momentum

0.000000000000000000000563635914 kg m/s

Classical Momentum0.000000000000000000000245760820 kg m/s

Relativistic Momentum vs Rest Mass

公式

## 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.

计算示例

Electron at 0.9c.

  1. 01gamma = 2.294
  2. 02p_rel = 2.294 * 9.109e-31 * 2.698e8
  3. 03p_rel = 5.639e-22 kg m/s
  4. 04p_classical = 9.109e-31 * 2.698e8 = 2.458e-22 kg m/s
  5. 05Relativistic is 2.29x larger

常见问题

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.

学习

Understanding Newton's Laws of Motion

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