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In the late 1960s, John and Leonid raced from the Earth to the Moon at relativistic...

In the late 1960s, John and Leonid raced from the Earth to the Moon at relativistic speeds. According to the judges on the Moon, John finished the race first with a time of 8.670 s, while Leonid finished 1.330 s later. The distance from the Earth to the Moon according to the judges is 1.300 ls. (a) What are vJ and vL, the average speeds of John and Leonid, according to the judges on the Moon. Give your answer as a fraction of c. (b) According to Leonid, by how much did John beat him at the race? (c) Is there any reference frame in which Leonid might actually have won the race? Explain.

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