A particle in a 799=m-long linear particle accelerator is moving at $0.875 c$ How long does the particle accelerator appear to the particle?

Question

Quizplus · Accepted Answer

The length of the particle accelerator appears shorter to the particle due to length contraction, which is given by $L = L_0\sqrt{1-v^2/c^2}$, where $L_0 = 799$ m and $v = 0.875c$. Plugging in the values, we find $L \approx 387$ m.

A Particle in a 799=m-Long Linear Particle Accelerator Is Moving 0.875c0.875 c0.875c

A Particle in a 799=m-Long Linear Particle Accelerator Is Moving $0.875 c$