A large, uniform-density cube of styrofoam has a side length of 3.0 m and a mass

Question

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? a) 2 m b) 3 m c) 4 m d) 5 m e) 6 m

Explanation / Answer

Here ,

distance moved by ice cube , d = 4 m

let the distance moved by the ice skater is x

Now , as there is no external force acting on the system in horizontal direction

the centre of mass will stay at the initial position

4 * 90 - 60 * x = 0

x = 6 m

the distance moved by the ice skater is 6 m

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