Three particles, A,B,C all of equal mass m,collide at the origin. Prior to the collsion the particles are moving as follows:
A has speed u in direction (1/sqrt(2))(-i-j)
B has speed v in direction (sqrt(3)/2)i+(1/2)j
C has speed w in direction -i
After the collision all particles remain at the origin.
find w in terms of u.
The Attempt at a Solution
I know that the momentum of each particle is the mass times the velocity. I know that the momentum of the system of particles at time t is P=0
I know that from the conservation of linear momentum that the sum of the individual momentums before the collision must also be 0.
I am probably being a bit thick in my mathematical thinking here because I don't see how to state w in terms of u only.
I just need a nudge in the right direction. No complete solutions