On the day his daughter is born, Jack leaves her on Earth and departs on a...

On the day his daughter is born, Jack leaves her on Earth and departs on a spaceship to travel around the universe at a constant speed of 0.91c. He returns to Earth on the day of his daughter's 7th birthday. Calculate the duration of the trip as measured by Jack.
(Give your answer in years but don't include the units.)

Expert Solution

The time dilation relation is
t = t0
Where is the relativistic constant.
t0 is the proper time measured when the frame of reference is at rest with respect to the spaceship.
t is the time measured from the earth.
t = 7 yrs
The relativistic constant,
= 1 / sqrt (1 - (v/c)2) = 1 / sqrt ( 1 - (0.91 c/ c)2)
= 5.82
t0 = t /
t0 = 7 yrs / 5.82 = 1.203 years.
The duration of the trip is 1.203 years.

genius_generous answered 2 years ago

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