Two fixed navigation beacons mark theapproach lane to a star. The beacons are in

Question

Two fixed navigation beacons mark theapproach lane to a star. The beacons are in line with the star andare 60 Mm apart. A spaceship approaches the star with a relativevelocity of 0.90 c and passes the beacons. The passage ofthe ship between the beacons is timed by an observer on the ship.The time interval of the passage is closest to: 58 ms 510 ms 97 ms 220 ms 39 ms Two fixed navigation beacons mark theapproach lane to a star. The beacons are in line with the star andare 60 Mm apart. A spaceship approaches the star with a relativevelocity of 0.90 c and passes the beacons. The passage ofthe ship between the beacons is timed by an observer on the ship.The time interval of the passage is closest to: 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms 58 ms 510 ms 97 ms 220 ms 39 ms

Explanation / Answer

   The proper time is         tp= (60*10^6m)/(0.9(3*10^8 m/s))            =0.222 s    The time interval of the passage is closest to              t = tp/[1-(v/c)2]                  = (0.222s)[1-(0.90c/c)2]                  = 510 ms

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