Two fixed navigation beacons mark the approach lane to a star. The beacons are i
ID: 1270368 • Letter: T
Question
Two fixed navigation beacons mark the approach lane to a star. The beacons are in line with the star and are 72 Mm apart. A spaceship approaches the star with a relative velocity of 0.7 c and passes the beacons. The passage of the ship between the beacons is timed by observers on the beacons. The time interval of the passage is closest to:
Two fixed navigation beacons mark the approach lane to a star. The beacons are in line with the star and are 72 Mm apart. A spaceship approaches the star with a relative velocity of 0.7 c and passes the beacons. The passage of the ship between the beacons is timed by observers on the beacons. The time interval of the passage is closest to:
340 ms 240 ms 150 ms 98 ms 480 msExplanation / Answer
The astronauts will measure a shorter distance ( length contraction) that you can calculate from
L = L0 sqrt(1-v^2/c^2),
where L0 is the distance between the beacons in the reference frame where the beacons are at rest.
So
L = 72*10^6 m * sqrt(1-0.7^2) = 51.418*10^6 m
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