1096_Physics ProblemsTechnical Physics

1096_Physics ProblemsTechnical Physics - Chapter 39 P39.7(a...

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Chapter 39 437 P39.7 (a) γ = = = 1 1 1 10 5 0 0 2 3 22 vc bg a f . The time interval between pulses as measured by the Earth observer is ∆∆ tt p == F H G I K J = 2 3 60 0 0924 . . s 75.0 ±s. Thus, the Earth observer records a pulse rate of 60 0 64 9 . . . sm in s min = . (b) At a relative speed = 0990 . , the relativistic factor increases to 7.09 and the pulse rate recorded by the Earth observer decreases to 10 6 .m i n . That is, the life span of the astronaut (reckoned by the duration of the total number of his heartbeats) is much longer as measured by an Earth clock than by a clock aboard the space vehicle. *P39.8 (a) The 0 8 . c and the 20 ly are measured in the Earth frame, so in this frame, t x c c = = 20 08 20 1 1 25 0 ly ly ly yr yr .. (b) We see a clock on the meteoroid moving, so we do not measure proper time; that clock measures proper time. p = : t t p = = = 25 0 25 0 1 0 8 25 0 15 0 2 . . . yr 11 - yr yr 0.6 yr a f (c) Method one: We measure the 20 ly on a stick stationary in our frame, so it is proper length.
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