It has been proposed that spaceships of the future will be powered by ion propulsion engines in which ions are ejected from the back of the ship to drive it forward. In one such engine, the ions are to be ejected with a speed of 0.80c relative to the engine. If the ship were traveling away from the earth with a velocity of 0.70c, what would be the velocity of the ions relative to the earth?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.35P
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It has been proposed that spaceships of the future will be powered by ion propulsion engines in which ions are ejected from the back of the ship to drive it forward. In one such engine, the ions are to be ejected with a speed of 0.80c relative to the engine. If the ship were traveling away from the earth with a velocity of 0.70c, what would be the velocity of the ions relative to the earth?

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