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# If stationary observers measure the shape of a passing object to be exactly circular, what is the shape of the object when viewed face-on by observers on board the object, traveling with it?

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Explanation: As we know that the expression for the length contraction is given by the formula that is mentioned below,

\begin{aligned} L&=L_{0}\sqrt{1-\frac{v^{2}}{c^{2}}}\\ \textbf{where,}\ m&=\text{ mass of the rest object}\\ c&=\text{speed of the light}\\ v&=\text{the velocity in between the observer}\\ &\text{and observed object}\\ \end{aligned}

From the above expression we can conclude that the length depends on the speed or the velocity of the object and on the speed of the light therefore the shape of the object is an ellipse for an observer on board the object travelling with it, with its major axis parallel to the object's velocity. The length of the major axis contracts due to the object's speed, and its shape seems to be round to a stationary observer on Earth.

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