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

[dead1327]

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.

 

[ideasrule]

Show all relevant equations as well as your attempt at a solution.

 

[dead1327]

Not like starting..

 

[ideasrule]

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.

 

[dead1327]

I need your help because I do not understand how to start these exercises left me doubt if they can do would be helpful