An astronaut in a spacecraft leaves Earth at a speed of 0.90c and travels 27 light-years away, both measured by an Earth-based observer. Hint: One light-year is the distance light travels in one year. a) How long will the journey take in years, as measured by the Earth-based observer? (30 years) b) How many years will have passed for the astronaut during the journey? (13 years) c) What distance will the astronaut measure the journey to be? (12 ly or 1.1 x 1017 m)

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Chapter12: Relativity, Particle Physics, And Cosmology
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Hi, please show full solutions and also explain how you get the answers in physics term so it's understandable. The correct final answers are written beside too. This is one whole question to be answered. I can't post it separately since it's related. Thank you.

2. An astronaut in a spacecraft leaves Earth at a speed of 0.90c and travels 27 light-years away, both measured by an Earth-based observer. Hint: One light-year is the distance light travels in one year.


a) How long will the journey take in years, as measured by the Earth-based observer? (30 years)
b) How many years will have passed for the astronaut during the journey?  (13 years)
c) What distance will the astronaut measure the journey to be?                        (12 ly or 1.1 x 1017 m)

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