Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 26 - The Special Theory of Relativity - Questions: 12

Answer

If the velocity of an object exceeded the speed of light, $\gamma$ would become an imaginary number.

Work Step by Step

Both the length contraction and time dilation formulas include the factor of $\gamma = \frac{1}{\sqrt{1-v^{2}/c^{2}}}$. This would be an imaginary number if v exceeded c, because you would be taking the square root of a negative number.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.