6. An airplane is flying at 300 m/s (672 mi/h). How much time
must elapse before a clock in the airplane and one on the
ground differ by 1.00 s?
must elapse before a clock in the airplane and one on the
ground differ by 1.00 s?
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Answer:
634 years
Explanation:
Let T denote the elapsed time on the ground, and t the elapsed time on the airplane. Then we have
T = t/sqrt(1-v^2/c^2).
We solve for
T - t = 1s.
T - T sqrt(1-v^2/c^2) = 1
T = 1/( 1 - sqrt(1-v^2/c^2) )
With v= 10^-5 c, this gives
T = 2*10^10 seconds
This is 634 years
Long time isn't it