Imagine a spaceship traveling at a constant speed through outer space. The length of the ship, as measured by an astronaut aboard the ship, is 30.2 m. An observer on Earth, however, sees the ship as contracted by 13.9 cm along the direction of motion. What is the speed of the spaceship with respect to the Earth? (Express the speed as a fraction of c, the speed of light in a vacuum.)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
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Imagine a spaceship traveling at a constant speed through outer space. The length of the ship, as measured by an astronaut aboard the ship, is 30.2 m. An observer on Earth, however, sees the ship as contracted by 13.9 cm along the direction of motion. What is the speed of the spaceship with respect to the Earth? (Express the speed as a fraction of c, the speed of light in a vacuum.)

v/c = 
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