For the special case of a particle moving with speed u along the y axis in frame S, show that its momentum and energy in frame S’ are related to its momentum and energy in S by the transformation equations.

Compare these equations with the Lorentz transformation for x’, y’, z’, and t’. These equations show that the quantities p_x, p_y, p_z, and E/c transform in the same way as do x, y, z, and ct.

Transcribed Image Text:

VE .2 c2 P = Y Ру — Руз Р— р. х Px E' Е Гр. Vрх c2 %3D