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A 26 year-old biologist makes a trip to study life forms in a distant planet 18...

A 26 year-old biologist makes a trip to study life forms in a distant planet 18 light-years away. The round trip including a stay of 1 year in the distant planet takes 40 years according to the clock on earth. The biologist's son is 2.5 year-old when she left. Assume that the planet is not moving with respect to earth.

How fast is the spaceship traveling? (in terms of the speed of light)

How old is she when she returns according to her clock?

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Answer #1

Solution: Evidently, for reaching the distant planet 18 light years away, time taken by the biologist is = 19.5 years. Therefore, the speed of the spaceship v = (18 x 3 x 108 x 365 x 24 x 60 x 60)/(19.5 x 365 x 24 x 60 x 60) = 0.92 c, where c = speed of light.

So, Considering relativistic time dilation, T = T0/(1

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