Recent content by m2sg

Thank you for introducing me the 4-vector of energy-momentum and the illustrative example. The v in the first link is correct, which v = 0.4 c. However, when calculating the 4-vector for the 2 particles after explosion the v was actually v1 = 0.5c and v2 = -0.5c. Hence, the 2 4-vectors are...

Thank you, DaleSpam and jtbell for pointing out my misconception of assuming the masses before and after explosion. So, I can use the conservation of total energy in S' frame to find the rest mass M before explosion. total energy before explosion = after explosion γ M c^2 = γ1 m1 c^2 +...

Let the frame S' be the total p = 0 before and after explosion. Let v = 0.4 c be the speed the frame S' moved relative to frame S. Now, I would to check is the total p conserved viewed in frame S. Let v1' = -0.5 c be velocity of m1=m in frame S'; v2' = +0.5 c be velocity of m2=m. Using v1 =...

Thank you very much for your replies. DaleSpam and jtbell, You are right. It was typo. Before explosion I actually calculated p with γ, that is p= γ(m+m)v I found the v1 and v2 using the usual Lorentz velocity transformation equations. The mass before explosion is m + m The...

I did choose one frame. v1 and v2 are the quantities as viewed from the chosen frame.

Relativitic momentum p =γ m v Consider explosion happens with two particles of equal mass m moving in opposite directions with the same speed. So, the total momentum before and after explosion is zero and conserved. However, if I try to calculated the total momentum before and after...