How do I find the proper distance between two particles in relativity?

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Homework Help Overview

The discussion revolves around finding the proper distance between two particles in the context of special relativity, specifically focusing on their motion and interaction with a stationary target in a laboratory reference frame.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to apply the concept of length contraction and the relationship between rest length and measured length. There are inquiries about where to begin and the relevant equations involved.

Discussion Status

Some participants are exploring the initial steps needed to approach the problem, while others are questioning their understanding of the concepts involved. Guidance has been offered regarding the use of length contraction, but there is no explicit consensus on the path forward.

Contextual Notes

There is a mention of a time interval and the speed of the particles, but the discussion indicates a lack of clarity on how to apply these to find the proper distance. Participants express uncertainty about starting the problem and the necessary equations.

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Two particles moving in a straight line in a laboratory reference system at a speed v = 3/4c, hit a stationary target with a time interval t = 50 [ns]. Finding the proper distance between the particles before hitting the target.
 
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Show all relevant equations as well as your attempt at a solution.
 
Not like starting..
 
What do you mean? That you don't know where to start? If so, do you know the equation for length contraction? You need to find the rest length, and the measured length is just vt because that's how far apart the laboratory believes the particles to be.
 
I need your help because I do not understand how to start these exercises left me doubt if they can do would be helpful
 

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