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## Homework Statement

Two skaters on a frictionless pond push apart from one another. One skater has mass

*M*much greater than the mass

*m*of the second skater. After some time the two skaters are a distance

*d*apart. How far has the lighter moved from original position.

The answer is somehow

*d((M)/(M+m))*

## Homework Equations

conservation of momentum, delta x = v*time

## The Attempt at a Solution

I understand the two skaters have equal but opposite momentum after they push each other.

so M*v1 = m*v2

and the position of is given by x2 = v2*t = M/m*v1

d = x2 - x1

.... whenever I try to substitute for v2*t, I get an answer of d...

I just can't seem to get the solution they get...

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