The Theory of Relativity (Lorentz Contraction)
We calculate the length of an object (Lorentz contraction) using the theory of special relativity.
When an object with length L0 at rest is moving relative to an observer at a relative velocity of v, we determine the length L of the object as seen by the observer.
| Observed length L | m |
| Relative velocity as a fraction of the speed of light v/c | % |
The closer the relative velocity is to the speed of light, the shorter the object becomes. (Lorentz contraction)
| \(\normalsize \hspace{20px} L=L_0\sqrt{1-{\large\frac{v^2}{c^2}}},\hspace{20px}c=299792.458km/s\) |
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