A particle accelerator has a circumference of 23 km. Inside it protons are accelerated to a speed of 0.999999972c. What is the circumference of the accelerator in the frame of reference of the protons?

asked Feb 19, 2023 202k views

4 votes

by Bhoj

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2 votes

This is related to length contractive, so:

$\begin{gathered} L=L_o\sqrt{1-(v^2)/(c^2)} \\ so: \\ L=23000√(1-(0.999999972)^2) \\ L\approx5.4m \end{gathered}$

Answer:

5.4 m

Curiouslychris answered Feb 24, 2023

5.4k points

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