All Problems

Relativistic Mechanics

Problem 1.344

With what velocity (relative to the reference frame \(K\) ) did the clock move, if during the time interval \(t=5.0 \mathrm{~s},\) measured by the clock of the frame \(\vec{K},\) it became slow by \(\Delta t=0.10 \mathrm{~s} ?\)

Reveal Answer
v=c(2Δtt)Δtt=0.6108 m/sv=c \sqrt{\left(2-\frac{\Delta t}{t}\right) \frac{\Delta t}{t}}=0.6 \cdot 10^{8} \mathrm{~m} / \mathrm{s}