Special Relativity - relative motion of two bars

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SUMMARY

The discussion focuses on a physics exercise involving two bars of the same proper length L moving along the x-axis. The challenge is to determine the relative velocity of the two bars given a time interval Δt between events observed from one bar's reference frame. The solution requires calculating the length of the second bar in the first bar's frame as a function of their relative velocity v and establishing a relationship between this length, the velocity, and Δt to derive an equation for v.

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John Sellars
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Misplaced Homework Thread: post moved from technical forums, so no template
Hi, I'm stucked in this exercise. I don't know how to proceed. Any hints I appreciate it.Two bars of the same proper length L, moves in the same way on the x axis. In the referential of one of the bars the time interval between the events, when the extremity right of one bar and the extremity left of other bar is equal to to Δt. Find the relative velocity of the the two.
 
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How can they have a nonzero relative velocity if they move in the same way?
John Sellars said:
In the referential of one of the bars the time interval between the events, when the extremity right of one bar and the extremity left of other bar is equal to to Δt.
The grammar in that sentence looks broken.

Find how long the second bar is in the frame of the first bar (as function of the velocity v). Then determine how that length, the velocity and Δt are related. That should lead to some equation for the velocity that you can solve.
 
Someone else is asking this question:
https://physics.stackexchange.com/questions/590423/special-relativity-relative-motion-of-two-objects
 

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