A problem from relativity theory Suppose a spaceship of

Chapter 2, Problem 84

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A problem from relativity theory Suppose a spaceship of length L0 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 = L0B 1 - v2 c2 , 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? d. Find lim vSc- L0B 1 - v2 c2 and explain the significance of this limit.

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