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9 - Quantitative problems

Published online by Cambridge University Press:  05 June 2012

Tatsu Takeuchi
Tatsu Takeuchi
Affiliation:
Virginia Polytechnic Institute and State University
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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.)

  1. 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?

  2. 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?

  3. 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?

  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 right at speed ¼c in the car-frame, what is its speed in the tree-frame?

  5. 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 - 206
Publisher: Cambridge University Press
Print publication year: 2010

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  • Quantitative problems
  • Tatsu Takeuchi, Virginia Polytechnic Institute and State University
  • Book: An Illustrated Guide to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511779121.011
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  • Quantitative problems
  • Tatsu Takeuchi, Virginia Polytechnic Institute and State University
  • Book: An Illustrated Guide to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511779121.011
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Quantitative problems
  • Tatsu Takeuchi, Virginia Polytechnic Institute and State University
  • Book: An Illustrated Guide to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511779121.011
Available formats
×