Relative to the frame of the observer making the measurement,at what speed parallel to its length is the length of a meterstick 60 cm?
A) 0.80c
B) 0.60c
C) 0.50c
D) 0.70c
E) 0.90c

Question

Quizplus · Accepted Answer

The length contraction formula is $L = L_0\sqrt{1 - v^2/c^2}$, where $L$ is the observed length, $L_0$ is the proper length, and $v$ is the velocity of the object. Given $L = 60$ cm (0.6 m) and $L_0 = 1$ m, we solve for $v$. Rearranging the formula gives $v = c\sqrt{1 - (L/L_0)^2}$. Substituting $L/L_0 = 0.6$, we find $v = 0.80c$.

Relative to the Frame of the Observer Making the Measurement,at