Chapter 39443P39.23γ=−=−=1111099510 0222vc..We are also given: L1200=.m, and θ=°30 0.(both measured in areference frame moving relative to the rod).Thus,LLx1112 000 8671 73===cos...m mafafandy11 12 000 5001 00=sin...mafLx2is a proper length, related to Lx1byLLxx12=.Therefore,xx2110 017 3..mandyy100. m.(Lengths perpendicular to the motion are unchanged).FIG. P39.23(a)Lxy222=+bgejgivesL217 4=. m(b)2122=−tanLLyxgives2330.*P39.24Einstein’s reasoning about lightning striking the ends of a train shows that the moving observer seesthe event toward which she is moving, event B , as occurring first. The S-frame coordinates of theevents we may take as (x=0, y=z=t=0) and (x=100 m, y=z=t=0). Then thecoordinates in ′Sare given by the Lorentz transformation. Event A is at (′=xyzt0).The time of event B is−FHGIKJ=−−FHGIKJ=−×FHGIKJ×−ttvcxcc2227180081001 66780444 10..mm310mss8.The time elapsing before A occurs is 444 ns .P39.25(a)From the Lorentz transformation, the separations between the blue-light and red-light
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