1113_Physics ProblemsTechnical Physics

# 1113_Physics ProblemsTechnical Physics - 454 P39.63...

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454 Relativity P39.63 (a) Take the spaceship as the primed frame, moving toward the right at v c = + 0 600 . . Then ′ = + u c x 0 800 . , and u u v u v c c c c x x x = ′ + + = + + = 1 0 800 0 600 1 0 800 0 600 0 946 2 b g a fa f . . . . . . (b) L L p = γ : L = = 0 200 1 0 600 0 160 2 . . . ly ly b g a f (c) The aliens observe the 0.160-ly distance closing because the probe nibbles into it from one end at 0.800 c and the Earth reduces it at the other end at 0.600 c . Thus, time = + = 0 160 0 600 0 114 . . . ly 0.800 yr c c . (d) K u c mc = F H G G I K J J 1 1 1 2 2 2 : K = F H G G I K J J × × 1 1 0 946 1 4 00 10 3 00 10 2 5 8 2 . . . a f e je j kg m s K = × 7 50 10 22 . J P39.64 In this case, the proper time is T 0 (the time measured by the students on a clock at rest relative to them). The dilated time measured by the professor is: t T = γ 0 where t T t = + Here T is the time she waits before sending a signal and t is the time required for the signal to reach the students.
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