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## Homework Statement

A large, uniform-density cube of styrofoam has a side length of 3.0 m and a mass of 90 kg. It is at

rest on a horizontal, frictionless (ice) surface. An ice-skater with a mass of 60 kg is standing at rest,

touching one face of the cube. You should consider all of the ice-skater's mass to be located exactly at

the position of the cube's side. The ice-skater now pushes off against the cube. When the cube has

moved 4.0 m from its starting position, how far has the ice-skater moved?

## Homework Equations

mv

_{i}=mv

_{f},

hard to tell what other equations come into play[/B]

## The Attempt at a Solution

tried to use conservation of momentum equation (mv

_{i}=mv

_{f}) to solve, but ended up falling short since I can't determine the velocities of the cube and the ice-skater. I know information about the side length of the cube and the ice skater's position on the cube will be important in figuring out the problem, but i just can't see how they are connected.