Relativistic Kinetic Energy Calculator — Formula
## Relativistic Kinetic Energy
At high speeds, the classical KE formula (0.5mv^2) underestimates the true kinetic energy.
### Formula
**KE = (gamma - 1) * m0 * c^2**
This approaches 0.5 m0 v^2 for v much less than c, and grows without bound as v approaches c.
At high speeds, the classical KE formula (0.5mv^2) underestimates the true kinetic energy.
### Formula
**KE = (gamma - 1) * m0 * c^2**
This approaches 0.5 m0 v^2 for v much less than c, and grows without bound as v approaches c.
Exemplo Resolvido
1 kg at 0.9c.
- gamma = 2.294
- KE = (2.294 - 1) * 1 * (2.998e8)^2
- KE = 1.294 * 8.988e16
- KE = 1.163e17 J
- Classical: 0.5 * 1 * (2.698e8)^2 = 3.640e16 J
- Relativistic is 3.2x larger