Calculate relativistic effects using the Lorentz factor (γ) for objects moving at high velocities
Calculate time dilation, length contraction, and relativistic mass using special relativity equations.
The Lorentz factor (γ) is calculated using:
\[ \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} \]
Where:
| Effect | Formula | Description |
|---|---|---|
| Time Dilation | \( t = \gamma t_0 \) | Time slows down for moving objects |
| Length Contraction | \( L = \frac{L_0}{\gamma} \) | Objects appear shorter in direction of motion |
| Relativistic Mass | \( m = \gamma m_0 \) | Mass increases with velocity |
Key considerations when using relativistic calculations: