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23 Nov 2019

In a science fiction novel, a starship takes three days to travel between two distant space stations according to its own clock. Instruments on one of the space stations indicate that the trip took four days. How fast did the starship travel, relative to the space station?

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Patrina Schowalter
Patrina SchowalterLv2
9 Apr 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Suppose you are planning a trip in which a spacecraft is totravel at a constant velocity for exactly twelve months, asmeasured by a clock on board the spacecraft, and then return homeat the same speed. Upon return, the people on earth will have agedexactly one hundred twenty-five years. According to specialrelativity, how fast must you travel? (Express your answer to atleast 5 significant figures as a multiple of c -- for example,0.95585c.)

Here is what I did:

t' = 12 months
t = 125 years = 1500 months

t/t' = √(1-(v2/c2))

(12/1500)2 =(√(1-(v2/c2)))2

6.4x10-5 =1-(v2/c2)

0.999936 = (v/c)2

v/c = √(0.999936)

v = 0.999968c

I used 0.99997 and 0.99996 (five significant figures)... butnothing is working. I'm not sure if I missed something or did thealgebra wrong?

Star A and Star B are at rest relative to Earth. Star A is 24 c � yfrom Earth, and as viewed from Earth, Star B is located beyond(behind) Star A.
(a) A spaceship is making a trip from Earth to Star A at a speedsuch that the trip from Earth to Star A takes 10 y according toclocks on the spaceship. At what speed, relative to Earth, must thespaceship travel? (Assume that the times for the accelerations arevery short compared to the overall trip time.)
in terms of c.

(b) Upon reaching Star A, the spaceship speeds up and departs forStar B at a speed such that the gamma factor, ?, is twice that ofPart (a). The trip from Star A to Star B takes 5.1 y (spaceship'stime). How far, in c � y is Star B from Star A in the rest frame ofEarth and the two stars?
in terms of c � y.

(c) Upon reaching Star B, the spaceship departs for Earth at thesame speed as in Part (b). It takes it 13 y (spaceship's time) toreturn to Earth. If you were born on Earth the day the ship leftEarth and you remain on Earth, how old are you on the day the shipreturns to Earth?
in terms of y.

Star A and Star B are at rest relative to Earth. Star A is 24 c · yfrom Earth, and as viewed from Earth, Star B is located beyond(behind) Star A.
(a) A spaceship is making a trip from Earth to Star A at a speedsuch that the trip from Earth to Star A takes 10 y according toclocks on the spaceship. At what speed, relative to Earth, must thespaceship travel? (Assume that the times for the accelerations arevery short compared to the overall trip time.)
in terms of c

(b) Upon reaching Star A, the spaceship speeds up and departs forStar B at a speed such that the gamma factor, ?, is twice that ofPart (a). The trip from Star A to Star B takes 5.1 y (spaceship'stime). How far, in c · y is Star B from Star A in the rest frame ofEarth and the two stars?
in terms of c · y

(c) Upon reaching Star B, the spaceship departs for Earth at thesame speed as in Part (b). It takes it 13 y (spaceship's time) toreturn to Earth. If you were born on Earth the day the ship leftEarth and you remain on Earth, how old are you on the day the shipreturns to Earth?
in terms of y

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