Cyclotron particles

[Franklin]

Particle A is spinning one way in a cyclotron,B the opposite way both at 99.9% of C .When they collide is the energy released at their relative velocity of C or that of double C?

[swansont]

Velocities don't add linearly

[Severian]

If they are the same particle type, i.e have the same mass, then in your case the collision will be stationary in the lab frame (ie. to a scientist standing watching). Notice that colliders are not always like that: the LHC for example will be colliding gluons whose cntre-of-mass frame will not be stationary (because the gluons have differnet energies).

[Meir Achuz]

The relative velocity, V, of the two particles (each with velocity v) will be given by the formula V=2v/(1+v^2/c^2), which is still less than c. The energy involved in their collision depends on their energy, which is not directly related to their relative velocity V, but is given by E=2mc^2/sqrt(1-v^2/c^2).