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Recall, from this chapter, that the factor gamma

Chapter 35, Problem 4P

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QUESTION:

Problem 4P

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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QUESTION:

Problem 4P

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.

ANSWER:

Solution 4P

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.

 We have relation

               =

               =

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