Relativistic Momentum Calculator
Calculate relativistic momentum of a moving particle
About this calculator
The Relativistic Momentum Calculator computes the momentum of particles moving at velocities approaching the speed of light, where classical physics no longer applies. Unlike classical momentum (p = mv), relativistic momentum accounts for Einstein's special relativity effects by incorporating the Lorentz factor. This calculator is essential for physicists, engineers, and students working with high-energy particles in accelerators, cosmic ray studies, or advanced physics research where accurate momentum calculations at relativistic speeds are crucial.
How to use
Enter the particle's rest mass and its velocity as a fraction of light speed (or in m/s). The calculator automatically applies the relativistic momentum formula p = γmv, where γ is the Lorentz factor. Click calculate to get the relativistic momentum result, which will be significantly higher than classical momentum at high velocities.
Frequently asked questions
When do I need to use relativistic momentum instead of classical momentum?
Use relativistic momentum when particle velocities exceed 10% of light speed (0.1c), as classical calculations become increasingly inaccurate at higher velocities.
What is the Lorentz factor in relativistic momentum?
The Lorentz factor (γ) equals 1/√(1-v²/c²) and accounts for time dilation and length contraction effects at high velocities in relativity.
How does relativistic momentum differ from classical momentum?
Relativistic momentum increases more rapidly with velocity than classical momentum, approaching infinity as velocity approaches light speed, while classical momentum increases linearly.