All Problems

Relativistic Mechanics

Problem 1.344

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