9 - Quantitative problems
Published online by Cambridge University Press: 05 June 2012
Summary
Addition of velocities
Solve the following problems pictorially using spacetime diagrams. (Do not resort to the equation provided in the endnotes of Chapter 4.)
A tree is at rest on the ground, and a car is traveling to the right at speed ½c. If a ball is traveling to the left at speed ½c in the tree-frame, what is its speed in the car-frame?
A tree is at rest on the ground, and a car is traveling to the right at speed ½c. If a ball is traveling to the left at speed ⅓c in the tree-frame, what is its speed in the car-frame?
A tree is at rest on the ground, and a car is traveling to the right at speed ½c. If a ball is traveling to the right at speed ¼c in the tree-frame, what is its speed in the car-frame?
A tree is at rest on the ground, and a car is traveling to the right at speed ½c. If a ball is traveling to the right at speed ¼c in the car-frame, what is its speed in the tree-frame?
A tree is at rest on the ground, and a car is traveling to the right at speed ⅓c. If a ball is traveling to the right at speed ⅓c in the car-frame, what is its speed in the tree-frame?
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- An Illustrated Guide to Relativity , pp. 200 - 206Publisher: Cambridge University PressPrint publication year: 2010