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Relativistic contraction of starships

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The Empire Strikes Back

The starships of the Solar Federation are marked with the symbol of the Federation, a circle, whereas starships of the Denebian Empire are marked with the Empire's symbol, an ellipse whose major axis is n times its minor axis ( in the figure ).

Part A

Part A
How fast, relative to an observer, does an Empire ship have to travel for its markings to be confused with those of a Federation ship? Use for the speed of light in a vacuum.

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The expert examines relativistic contraction of starships.

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Relativistic Contraction:

an Empire starship must undergo relativistic contraction by factor n to be confused with a federation starship.

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