- #1

grav-universe

- 461

- 1

v1' = (v + v1) / (1 + v v1 / c^2) = .660377358 c

v2' = (v + v2) / (1 + v v2 / c^2) = .531914893 c

According to A, then, the total momentum of the system of two bodies before the collision is

p1 + p2 = (m v1') / sqrt(1 - (v1'/c)^2) + (m v2') / sqrt(1 - (v2'/c)^2)

= .879408087 kg m / sec + .628148633 kg m / sec

= 1.507556721 kg m / sec

The final momentum after the collision is

p3 = ((2m) v) / sqrt(1 - (v/c)^2)

= 1.5 kg m / sec

Relativistic momentum doesn't appear to be conserved. Why not?