one of four star cruisers that are in a race. As each cruiser passes the starting line, a shuttle craft leaves the cruiser and races toward the finish line. You, judging the race, are stationary relative to the starting and finish lines. The speeds vc of the cruisers relative to you and the speeds vs of the shuttle craft relative to their respective starships are, in that order, (1) 0.70c, 0.40c; (2) 0.40c, 0.70c; (3) 0.20c, 0.90c; (4) 0.50c, 0.60c. (a) Rank the shuttle craft according to their speeds relative to you, greatest first. (b) Rank the shuttle craft according to the distances their pilots measure from the starting line to the finish line, greatest first. (c) Each starship sends a signal to its shuttle craft at a certain frequency f0 as measured on board the starship. Rank the shuttle craft according to the frequencies they detect, greatest first.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
Section: Chapter Questions
Problem 57P
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one of four star cruisers that are in a race.
As each cruiser passes the starting line, a shuttle craft leaves the
cruiser and races toward the finish line. You, judging the race, are
stationary relative to the starting and finish lines. The speeds vc of
the cruisers relative to you and the speeds vs of the shuttle craft relative
to their respective starships are, in that order, (1) 0.70c, 0.40c;
(2) 0.40c, 0.70c; (3) 0.20c, 0.90c; (4) 0.50c, 0.60c. (a) Rank the shuttle
craft according to their speeds relative to you, greatest first.
(b) Rank the shuttle craft according to the distances their pilots
measure from the starting line to the finish line, greatest first.
(c) Each starship sends a signal to its shuttle craft at a certain frequency
f0 as measured on board the starship. Rank the shuttle craft
according to the frequencies they detect, greatest first.

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