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## Homework Statement

## Homework Equations

Xcm = (x1m1+x2m2) / (m1+m2)

## The Attempt at a Solution

ok so i'm having trouble understanding what's happening in the question... when the penguin moves, is the sled also moving? If it's friction less ice then if the penguins moves L, the sled will move -L. Is this right or am I just not understanding the question?

for the

__first one__, Changed what I think, penguin will move 0 relative to itself, in the sled system it will move L so center of mass at L/2?

__second one__Changed what I think for this too, since the penguin moves 0 relative to itself and from the sled system it will move L, in the lab frame it moves

*L/2*.

__third one__seems pretty simple. Since penguin at origin and the center of mass of sled is at L/2, the center of mass would be

*L/4*.

__fourth one__sled frame moves -L, penguin relative to itself always 0 so the origin is

*-L/2*

__fifth one__sled moves -L/2 so it's center of mass is at 0, the penguin moves L/2 so center of mass is

*L/4?*

__sixth one__

*L/4*

Are these right so far?

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