Question #7f704

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Answer 1 · 2016-10-03T16:23:28

7.1 years

The expression for time dilation is:

#sf(t=(t_(0))/(sqrt(1-(v^2)/(c^2)))#

Since 1 year elapses on the space ship this becomes:

#t=(1)/(sqrt(1-((0.99c)^2)/(c^2))#

#:.##sf(t=(1)/(sqrt(1-(0.9801cancel(c^2))/(cancel(c^2))#

#sf(t=7.1)# years.

This means that the crew have aged by 1 year while 7.1 years have passed on earth.

If they return to earth they will be younger than if they had not gone away. This is a relativistic effect and has been verified by measurement.