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An unidentified flying object (UFO) flashes across the night sky. A UFO enthusiast on the top of Pike's Peak determines that the length of the UFO is 145 m along the direction of motion. If the UFO is moving with a speed of 0.86c, how long is the UFO according to its pilot? Answer in units of m.

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jorgezarate

Answer:

[tex]L_{0}=284.15m[/tex]

Explanation

Length contraction, relativistic Law, for an object with a velocity v and a length at rest Lo :

[tex]L=L_{0}{\sqrt {1-v^{2}/c^{2}[/tex]

We solve in order to find the length at rest:

[tex]L_{0}=L/({\sqrt {1-v^{2}/c^{2}})=145/({\sqrt {1-(0.86c)^{2}/c^{2}})=284.15m[/tex]

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