The formula to calculate the apparent length due to its velocity relative to an observer is:
\[ L = L' \times \sqrt{1 - \left(\frac{V^2}{C^2}\right)} \]
Where:
Length contraction is a term used in special relativity to describe the apparent length of an object as it travels closer to the speed of light with respect to an observer. In other words, as an object moves faster and faster, it starts to contract and gets shorter and shorter.
Consider an example where:
Using the formula to calculate the Apparent Length:
\[ L = 10 \times \sqrt{1 - \left(\frac{100000000^2}{299792458^2}\right)} \approx 9.54 \text{ m} \]
This means that the apparent length for this example is approximately 9.54 m.
