- #1

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I am dealing with an inelastic, collinear momentum exchange of the form:

m

_{1}v

_{1}+m

_{2}v

_{2}=m

_{1}u

_{1}+m

_{2}u

_{2}

where m

_{1}& m

_{2}are known.

v

_{1}& v

_{2}are both 0

u

_{1}& u

_{2}are both unknown,

*however*

MOD(u

_{1})+MOD(u

_{2}) is known (ie the sum of modulus of each speed, I don't know how to do straight brackets here.........)

which initial speed is regarded as + or - is irrelevant (to me).

I know that the exact speeds for u

_{1}& u

_{2}can be calculated, but I can't quite get me head around how (I'm more used to knowing one or the other, not their sum).

Although I can find the answer by gradually increasing one of the values on a spreadsheet, I'd like to see the actual solution. I'm guessing it can be solved either simultaneously or with a bit of calculus, but I'm not very good and working these things out.

Any help would be much appreciated.

p.s. I know this looks like homework, but its not. It really does though doesn't it. Real world though, honest.