Relativity proton beam relative velocity problem

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SUMMARY

The forum discussion centers on calculating the magnitude of the velocity of proton beams in a colliding beam experiment, where the relative velocity of the beams is given as 2.99 x 108 m/s. Participants recommend using Lorentz transformations to derive the necessary equations for determining the individual velocities of each beam relative to the laboratory frame. The discussion emphasizes the importance of understanding relativistic effects such as time dilation and length contraction in this context.

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snagar1985
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hi guys I am new to this forum so this is my first post would appriciete some help with this problem

Homework Statement


in a colliding beam experiment, in a laboratory frame equal and opposite velocity proton beams collide. the relative velocity of the beams is 2.99 x 10^8 m/s, calculate the magnitude of the velocity of each beam realtive to the lab?

this is all the info i have any guidance on how to approch this would be very useful

thanks
 
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When you say the relative velocity of the beams, do you mean relative to each other?

Try using the Lorentz transformations to get a desired equation. For example the Lorentz transformations lead to time dilation and length contraction. You are looking for a relative velocity equation.
 

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