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Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 23P
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Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length contraction, where

When you multiply the time in a moving frame by γ, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by γ, you get the shorter (contracted) length in your fixed frame.

If the bus driver in Problem 1 decided to drive at 99.99% of the speed of light in order to gain some time, show that you’d measure the length of the bus, to be a little less than 1 foot.

problem1

Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length contraction, where

When you multiply the time in a moving frame by γ, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by γ, you get the shorter (contracted) length in your fixed frame.

A passenger on an interplanetary express bus traveling at v = 0.99c takes a 5-minute catnap, according to her watch. Show that her catnap from the vantage point of a fixed planet lasts 35 minutes.

 

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