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To heaven's brightest star, Sirius, the distance is 8.8 light years. We assume that a person...

To heaven's brightest star, Sirius, the distance is 8.8 light years. We assume that a person goes there with a spacecraft and returns after 19 years. How long time does this person think has gone past? Please explain thoroughly, as I'm new to physics and don't know so much.

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Answer #1

8.8 light years= 8.32 E13 km= 8.32 E16 meters

time taken for travel = 19 years= 6 E8 seconds

velocity of travel = 1.38E8 m/s

Time elapsed is given by the time dilation formula ( lorentz transformation factor)

where C= velocity of light = 3 E8 m/s

v= velocity of space craft = 1.38E8 m/s

Time dilation = 0.88 T

=0.88*6E8 =5.28E8 seconds

= 16.7 years

The concept of time dilation is applied in the above problem.

It is a concept in theory of relativity where the speed of the prticle is comparable (approaches) to that of speed of light. the reduction in time observed by a person in the moving frame of reference ( moving space craft) to that of a time observed by the person in the stationary frame of reference ( earth) is measured in the units of time.

Usually the changes in time observed by a person on a space -time relation is called time dilation.

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