Question

In year 2050 Elon Musk’s dream about the relativistic Hyperloop transportation system becomes true. The hyperloop car with an atomic clock on board flies from San Francisco to New York – a distance of 5000 km at a steady speed of 2500 m/s. [a] (2 pts) How much time does the trip take, as measured by an observer on the ground using an atomic clock identical to the one on the hyperloop car? [b] (2 pts) According to the clock on the hyperloop car, would the trip take more time or less time than what you calculated in part [a] ? [c] (4 pts) In units of seconds, what is the difference between the time measured by the person on the ground and the time measured by the passenger in hyperloop car? Hint: use expansion of γ to simplify your calculations.

Answer 1

Summary:

A. Time as per clock on the ground= 2000 s

B .the time as per the clock on the hyperloop car would be less due to time dilation.

C. The difference in time will be

8.3 x 10-3 seconds