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?
A)387 m
B)1039 m
C)184 m
D)1651 m

Question

Quizplus · Accepted Answer

The length contraction formula is $ L = L_0 \sqrt{1 - v^2/c^2} $. Here, $ L_0 = 799 \, \text{m} $ and $ v = 0.875c $. Plugging in the values, $ L = 799 \sqrt{1 - (0.875)^2} \approx 387 \, \text{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 $0.875 c$