Chapter 39437P39.7(a)γ=−=−=111105002322vcbgaf.The time interval between pulses as measured by the Earth observer is∆∆ttp==FHGIKJ=2360 00924..s75.0±s.Thus, the Earth observer records a pulse rate of 60 064 9...sminsmin=.(b)At a relative speed =0990., the relativistic factor increases to 7.09 and the pulse raterecorded by the Earth observer decreases to 10 6.min. That is, the life span of theastronaut (reckoned by the duration of the total number of his heartbeats) is much longer asmeasured by an Earth clock than by a clock aboard the space vehicle.*P39.8(a)The 0 8.cand the 20 ly are measured in the Earth frame,so in this frame,∆txcc==2008201125 0lylyly yryr..(b)We see a clock on the meteoroid moving, so we do not measure proper time; that clockmeasures proper time.p=:∆∆ttp=−==25 025 01 0 825 015 02...yr11-yryr 0.6yraf(c)Method one: We measure the 20 ly on a stick stationary in our frame, so it is proper length.
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