An island is measured to be 12 km long on a map. How fast is someone flying past the island if they measure the island to be 10 km long?

Respuesta :

Answer:

The velocity from the personne flying over the island is [tex]1.66*10^8m/s[/tex]

Explanation:

The island experiences a contraction of length, because the person who measures it, sees as if the island moves with a speed v. Relativistic Law, for an object with a velocity v  and a length at rest Lo, and a length L at a velocity v :

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

[tex]v=c*\sqrt{1-(L/L_{0})^2}=3*10^8*\sqrt{1-(10/12)^2}=1.66*10^8m/s[/tex]

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