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Relativistic Mechanics

Problem 1.350

Two rods of the same proper length l0l_{0} move toward each other parallel to a common horizontal axis. In the reference frame fixed to one of the rods the time interval between the moments, when the right and left ends of the rods coincide, is equal to Δt.\Delta t . What is the velocity of one rod relative to the other?

Reveal Answer
v=2l0/Δt1+(l0/cΔt)2v=\frac{2 l_{0} / \Delta t}{1+\left(l_{0} / c \Delta t\right)^{2}}
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