The starship Enterprise has a length of 305 m in its rest frame.What will be its length,as observed by a stationary observer,when motoring along at Warp 0.952,that is to say 95.2% of the speed of light?
A)93.3 m
B)95.2 m
C)297 m
D)305 m
E)997 m

Question

Quizplus · Accepted Answer

The observed length is calculated using the Lorentz contraction formula: $L = L_0\sqrt{1-v^2/c^2}$, where $L_0$ is the rest length (305 m), $v$ is the velocity (0.952c), and $c$ is the speed of light. Plugging in the values, we find the contracted length to be significantly shorter than the rest length, which matches choice A, 93.3 m.

The Starship Enterprise Has a Length of 305 M in Its