All Problems

Relativistic Mechanics

Problem 1.340

\(1.340 .\) A rod moves lengthwise with a constant velocity \(v\) relative to the inertial reference frame \(K .\) At what value of \(v\) will the length of the rod in this frame be \(\eta=0.5 \%\) less than its proper length?

Reveal Answer
1.340. \(v=c \sqrt{\eta(2-\eta)}=0.1 c,\) where \(c\) is the velocity of light.