454 RelativityP39.63(a)Take the spaceship as the primed frame, moving toward the right at vc=+0600..Then ′ =+ucx0800., anduuvuv ccccxxx=′ ++′=++=10 8000 60010 800 0 60009462bgaf..(b)LLp=γ:L=−=0 20010 6000 1602.lylybgaf(c)The aliens observe the 0.160-ly distance closing because the probe nibbles into it from oneend at 0.800cand the Earth reduces it at the other end at 0.600c.Thus,time =+=01600114...ly0.800yr.(d)Kmc=−−FHGGIKJJ111222:K=−−FHGGIKJJ××1109461 4 00 103 00 102582.ejejkgm sK=×750 1022. JP39.64In this case, the proper time is T0(the time measured by the students on a clock at rest relative tothem). The dilated time measured by the professor is:∆tT=0where ∆tTtHere Tis the time she waits before sending a signal and tis the time required for
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .