How fast must a meter stick move,relative to the frame of the observer making the measurement,so its length will be measured to be 0.60 m?
A)0.40c
B)0.60c
C)0.70c
D)0.80c
E)0.90c

Question

Quizplus · Accepted Answer

The length contraction formula is $L = L_0\sqrt{1 - \frac{v^2}{c^2}}$, where $L$ is the contracted length, $L_0$ is the rest length, $v$ is the velocity of the object, and $c$ is the speed of light. Rearranging for $v$, given $L_0 = 1$ m and $L = 0.60$ m, we find $v = c\sqrt{1 - \left(\frac{L}{L_0}\right)^2} = c\sqrt{1 - 0.36} = 0.8c$.

How Fast Must a Meter Stick Move,relative to the Frame