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## Homework Statement

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.

## Homework Equations

## 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

Thanks

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