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80. A problem from relativity theory Suppose a spaceship of length Lo travels at a high speed v relative to an observer. To the observer, the ship appears to have a smaller length given by the Lorentz contraction formula L = LOA 1- d. Find lim Lov 1 V-C v² where c is the speed of light. a. What is the observed length L of the ship if it is traveling at 50% of the speed of light? b. What is the observed length L of the ship if it is traveling at 75% of the speed of light? c. In parts (a) and (b), what happens to L as the speed of the ship increases? v2 and explain the significance of this limit. c²

80. A problem from relativity theory Suppose a spaceship of length Lo travels at a high speed v relative to an observer. To the observer, the ship appears to have a smaller length given by the Lorentz contraction formula L = LOA 1- d. Find lim Lov 1 V-C v² where c is the speed of light. a. What is the observed length L of the ship if it is traveling at 50% of the speed of light? b. What is the observed length L of the ship if it is traveling at 75% of the speed of light? c. In parts (a) and (b), what happens to L as the speed of the ship increases? v2 and explain the significance of this limit. c²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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80. A problem from relativity theory Suppose a spaceship of length Lo travels at a high speed v relative to an observer. To the observer, the ship appears to have a smaller length given by the Lorentz contraction formula L=Lo₁/1 d. Find lim Lo₁/1 v→c v2 where c is the speed of light. a. What is the observed length L of the ship if it is traveling at 50% of the speed of light? b. What is the observed length L of the ship if it is traveling at 75% of the speed of light? c. In parts (a) and (b), what happens to L as the speed of the ship increases? v2 and explain the significance of this limit. c²
Transcribed Image Text:80. A problem from relativity theory Suppose a spaceship of length Lo travels at a high speed v relative to an observer. To the observer, the ship appears to have a smaller length given by the Lorentz contraction formula L=Lo₁/1 d. Find lim Lo₁/1 v→c v2 where c is the speed of light. a. What is the observed length L of the ship if it is traveling at 50% of the speed of light? b. What is the observed length L of the ship if it is traveling at 75% of the speed of light? c. In parts (a) and (b), what happens to L as the speed of the ship increases? v2 and explain the significance of this limit. c²
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