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10 Nov 2019
Worked solution to the problem with the steps taken is greatlyappreciated. :)
In special relativity the coordinates (x, y, z, t) and (x', ', z', t') of a point in the two frames are related by the Lorentz transformations x' = gamma (x - vt), y'= y, z' = z, and r' = gamma (t - vx/c2). Respectively. Consider a body moving in both reference frames S and d S'. The components of the velocities of the body in the two frames are given as follows; in S, V rightarrow =(V1, V2, V3) = (dx / dt , dy/dt, dz/dt) and in S: V rightarrow =(V'1, V'2, V'3) = (dx' / dt' , dy'/dt', dz'/dt'). Find the components of relativistic velocity in the S' frame.
Worked solution to the problem with the steps taken is greatlyappreciated. :)
In special relativity the coordinates (x, y, z, t) and (x', ', z', t') of a point in the two frames are related by the Lorentz transformations x' = gamma (x - vt), y'= y, z' = z, and r' = gamma (t - vx/c2). Respectively. Consider a body moving in both reference frames S and d S'. The components of the velocities of the body in the two frames are given as follows; in S, V rightarrow =(V1, V2, V3) = (dx / dt , dy/dt, dz/dt) and in S: V rightarrow =(V'1, V'2, V'3) = (dx' / dt' , dy'/dt', dz'/dt'). Find the components of relativistic velocity in the S' frame.