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Bộ tài liệu bài tập tham khảo môn vật lý bậc đại học bằng tiếng anh Chapter 37 | 37.1 If O sees simultaneous flashes then O will see the A A flash first since O would believe that the A flash must have traveled longer to reach O and hence started first. 37.2 a y . 2.29. 71 - 0.9 2 t yr 2.29 2.20 x 10-6s 5.05 x 10-6 s. b d vt 0.900 3.00 x 108 ms 5.05 x 10-6s 1.36 x 103 m 1.36 km. 37.3 71 -u7c2 1 -u7C2 V2 1 - T A At - At0 1 - 1 - u 7c2 At U 2 At 250 ms 2 4 hrs 3600 2 3.00 x 108 ms 2 At -At 0 5.00 x 10 -9s. The clock on the plane shows the shorter elapsed time. 37.4 y . 4.79. 71 - 0.978 2 y At 4.79 82.4 x 10-6s 3.95 x 10 4s 0.395 ms. 37.5 a A 1 - U2 A 2 At 0 Ï At At 0 At C. 1 2.6 42 u c 1 2 2 u 0.998c. b Ax uAt 0.998 3.00 x 108 ms 4.2 x 10-7s 126 m. 37.6 y 1.667 a At0 A L2 X 108 m 0.300 s. 0 y y 0.800c b 0.300 s 0.800c 7.20 x 107m. c At0 0.300 7Y 0.180 s. This is what the racer measures your clock to read at that instant. At your origin you read the original 1.20 x 108m 0.800 3 x 108 ms 0.5 s. Clearly the observes you and the racer will not agree on the order of events 2 37.7 212 I I 4.80 x 106 m s Z1 -u2 c2 At 1 -I-------------- M 1 yr 1 11 1 3.00 x 108 ms J At- At0 1.28 x 10 4 yr 1.12 hrs. The least time elapses on the rocket s clock because it had to be in two inertial frames whereas the earth was only in one. 37.8 a The frame in which the source the searchlight is stationary is the spacecraft s frame so 12.0 ms is the proper time. b To three figures u c. Solving Eq. 37.7 for u c in terms of y c 41 - Vr 2 -1 - Ar. Using 1 y At0 A t 12.0 ms 190 ms gives u c 0.998. 37.9 y 6.00 71 - u c 2 71 - 0.9860 2 x l0 55 km a l ------ 9.17 km. Y 6.00 b In muon s frame d uAt 0.9860c 2.20 x 10-6 s 0.651 km. d 51 0.071 7.1 . h 9.17 c In earth s frame At At0y 2.2 x 10-6 s 6.00 1.32 x 10-5s d uAt 0.9860c 1.32 x 10-5 s 3.90 km d h 390tm 7.1 55.0 km 37.10 a t 4.50 x 10 m b y 0.99540c 1 1.51x 10-4 s. h . 10.44 71 - 0.9954 2 45 km ------- 4.31 km. 10.44 h Y s h . t . . c ----------- 1.44 x 10 5 s and 1.44 x 10 s so the results agree but the particle s .