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Problem 41 Medium Difficulty

A star is 5.00 ly from the Earth. At what speed must a spacecraft travel on its journey to the star such that the Earth–star distance measured in the frame of the spacecraft is 2.00 ly?

Answer

0.917$c$

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Video Transcript

So we know they've contacted land L A sickle to properly end times square. Root off one minus we squared, divided by six were, um let's sold for re divided by sea. Well, we divided, we see is equal to square root off one minus l divided by lp whole square and putting the values we have one minus two point 2.0 divided by 5.0 whole square. And this gives us zero point mine 17 and therefore ah, speed is equal to 0.917 times the speed.

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