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19 Nov 2019

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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Patrina Schowalter
Patrina SchowalterLv2
19 Nov 2019

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