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1. Homework Statement
Two images are attached. The first image details the problem. The second image has an x',y' coordinate system depiction of the problem.
2. Homework Equations
The total energy of a particle is defined as E = mc^2, with m = γ*m_0.
3. The Attempt at a Solution
If the x', y' coordinate system is "linked" to one of the particles (it seems like the left one), why is it that after the inelastic collision takes place we have a larger mass (okay) with a nonzero speed V leftwards (what?)? If our x',y' frame is linked to the left particle, it should always depict the position of that left particle it is attached to as at the origin of the coordinate system and with a velocity of zero, right? (Relative to the left particle, aka from this reference frame, it's the other mass that's doing all the moving, moving with a speed U towards the left particle.) So why is it that after the collision takes place this same reference frame claims that the new larger mass has a nonzero velocity? If the frame is still linked with the original, left mass which is now linked with the other mass, why would the previous result not stand that the position and velocity of the new mass from this same reference frame is zero?
Two images are attached. The first image details the problem. The second image has an x',y' coordinate system depiction of the problem.
2. Homework Equations
The total energy of a particle is defined as E = mc^2, with m = γ*m_0.
3. The Attempt at a Solution
If the x', y' coordinate system is "linked" to one of the particles (it seems like the left one), why is it that after the inelastic collision takes place we have a larger mass (okay) with a nonzero speed V leftwards (what?)? If our x',y' frame is linked to the left particle, it should always depict the position of that left particle it is attached to as at the origin of the coordinate system and with a velocity of zero, right? (Relative to the left particle, aka from this reference frame, it's the other mass that's doing all the moving, moving with a speed U towards the left particle.) So why is it that after the collision takes place this same reference frame claims that the new larger mass has a nonzero velocity? If the frame is still linked with the original, left mass which is now linked with the other mass, why would the previous result not stand that the position and velocity of the new mass from this same reference frame is zero?
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