Problem 27.20 An astronaut travels to a star system 4.3 ly away at a speed of 0.

Question

Problem 27.20

An astronaut travels to a star system 4.3 ly away at a speed of 0.80 c . Assume that the time needed to accelerate and decelerate is negligible.

Part A

How long does the journey take according to Mission Control on earth?

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Part B

How long does the journey take according to the astronaut?

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Part C

How much time elapses between the launch and the arrival of the first radio message from the astronaut saying that she has arrived?

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Explanation / Answer

a. 4.3/0.8 = 5.375 years

b.

= 1/(1–V²/c²)
= 1/(1–0.9²)
= 1.66
5.375/1.66 = 3.23 years

c.

5.375 + 4.3 = 9.675 years

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