Transforming Four-Momentum between Inertial Frames

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The four-momentum of a particle in a moving inertial frame is not the same as in the original frame due to the effects of relativistic transformations. Energy and momentum are conserved in their respective frames, but they transform according to the Lorentz Transformation when switching frames. The original four-momentum is given as [5 J, 5 N*s, 0, 0], and the transformation must account for the relative velocity of 0.8c. The discussion highlights the importance of understanding how these quantities change between different inertial frames. Proper application of the Lorentz Transformation is essential for accurate calculations.
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Homework Statement


A particle's four momentum in a given inertial frame is [E,Px,Py,Pz]=[5 J, 5 N*s, 0, 0]. What is its four-momtenum in an inertial frame that moves in the +x direction at a speed of .8 c relative to the first frame?

Homework Equations


N/a

The Attempt at a Solution


Isn't the four-momentum of the particle in the other frame just [5 J,5 Ns,0,0] since all components are independently conserved...? or am I making this problem too simple?
Thanks!
 
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No, it's not the same in a different frame. Energy and momentum are conserved in a given inertial frame, but they transform among themselves when you change from one inertial frame to another. Look up the Lorentz Transformation.
 

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