HW13%20solutions

HW13%20solutions - Homework 13 solutions Physics 204,...

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Homework 13 solutions Physics 204, morning summer 2008 Chapter 28 Problems 10,13,34,31 10. REASONING The distance between earth and the center of the galaxy is the proper length L 0 , because it is the distance measured by an observer who is at rest relative to the earth and the center of the galaxy. A person on board the spaceship is moving with respect to them and measures a contracted length L that is related to the proper length by Equation 28.2 as ( ) 22 0 1/ LL vc =− . The contracted distance is also equal to the product of the spaceship’s speed v the time interval measured by a person on board the spaceship. This time interval is the proper time interval Δ t 0 because the person on board the spaceship measures the beginning and ending events (the times when the trip starts and ends) at the same location relative to a coordinate system fixed to the spaceship. Thus, the contracted distance is also L = v Δ t 0 . By setting the two expressions for L equal to each other, we can find the how long the trip will take according to a clock on board the spaceship.
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HW13%20solutions - Homework 13 solutions Physics 204,...

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