How Do You Apply Lorentz Transformation to High-Speed Situations?

AI Thread Summary
To apply Lorentz transformation in high-speed situations, it's essential to first determine the velocity of the object in question. Traditional methods like using s=vt may not be effective at relativistic speeds. The Lorentz transformations require knowledge of the object's speed to accurately calculate time dilation and length contraction. In this case, the speed of the proton can be derived from its total energy and rest energy. Understanding these concepts is crucial for solving problems involving high-speed particles.
athrun200
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Homework Statement



[Removed over-sized images. Hoot][/color]

Homework Equations


3. The Attempt at a Solution [/b

In traditional way, we need to find velocity first, then use s=vt and done.
But this time, it moves in high speed, it seems it doesn't work.
So what can I do this time?
 

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Well, have you tried applying the Lorentz transformations?
 
We need to know the speed to apply Lorentz transformation.
Isn't it?
 
athrun200 said:
We need to know the speed to apply Lorentz transformation.
Isn't it?
Indeed you do. You can work out the speed of the proton with the information given (total energy and rest energy).
 
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