1. A spaceship has a life support system that can keep its crew alive for 800...
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1. A spaceship has a life support system that can keep its crew alive for 800 hours. The crew wants to travel a distance of 2x10¹5 m (as measured in the rest frame of the start and end points). Assume that the acceleration and deceleration phases happen in a negligible amount of time and that the 800-hr trip happens at a constant velocity. a) Since light travels at 3x108 m/s a pulse of light takes ~1853 hrs to travel the same distance. Does this mean that the ship will have to travel faster than light? Explain why or why not. [1] b) How fast will the ship have to go so that it can travel 1x1015 m without depleting its life support system? Express your answer as a fraction of the speed of light. [3] (some algebra required) c) How long did the trip take according to an observer at rest at the destination? [1] d) What is the distance between the start and end points as measured by the crew while they are in motion? [1] 1. A spaceship has a life support system that can keep its crew alive for 800 hours. The crew wants to travel a distance of 2x10¹5 m (as measured in the rest frame of the start and end points). Assume that the acceleration and deceleration phases happen in a negligible amount of time and that the 800-hr trip happens at a constant velocity. a) Since light travels at 3x108 m/s a pulse of light takes ~1853 hrs to travel the same distance. Does this mean that the ship will have to travel faster than light? Explain why or why not. [1] b) How fast will the ship have to go so that it can travel 1x1015 m without depleting its life support system? Express your answer as a fraction of the speed of light. [3] (some algebra required) c) How long did the trip take according to an observer at rest at the destination? [1] d) What is the distance between the start and end points as measured by the crew while they are in motion? [1]
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Faster Than Light a No the spaceship does not need to travel faster than light While a pulse of ligh... View the full answer
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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