A particle with mass m at velocity v0, is hitting an identical particle(at rest, same mass), after that, two particle travel in different direction, va and vb, and the angle between two vectors. Provide that K/2

Question

A particle with mass m at velocity v0, is hitting an identical particle(at rest, same mass), after that, two particle travel in different direction, va and vb, and the angle between two vectors.   Provide that K/2<=Q<=0 (endothermic) Conservation of Energy 1/2mv^2+Q=1/2mva^2+1/2mvb^2 Conservation of Momentum mv0=mva+mvb   Prove cos(theta)ab=-Q/(K+Q)

anonymous · Answer

Will need more information. Is there a diagram to go with this.
In general if it's an elastic collision, kinetic energy is conserved; if inelastic, kinetic energy is not conserved.
Linear momentum is always conserved regardless.

anonymous · Answer

Looks like kinetic energy is not conserved since there is some heat loss, Q.
Do you know what the angle between the two final velocity vectors is?