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## Main Question or Discussion Point

Hi there,

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

m

where m

v

u

MOD(u

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

I know that the exact speeds for u

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.

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 0u

_{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.