Friction free tug of war - result check

[JWDavid]

Homework Statement

Okay left my book at home - foolishly thinking I had all my equations - oops

Two Skaters, one with mass 65kg and the other with mass 42kg stand on an ice rink holding a pole with a length of 9.7m and a mass that is negligible. Starting from the ends of the pole the scaters pull themselves along the pole until they meet. How far will the 42kg skater move?

Homework Equations

?

& $$\vec{}R$$_cm = $$\Sigma$$ m_i$$\vec{}R$$$$/$$m_i

The Attempt at a Solution

Okay I've determined that the center of mass is 3.8m from the 65 kg mass.
Am I correct in thinking that 9.7-3.8 is the answer? I don't have a place to run through a sample and couldn't find one here.

 

[tiny-tim]

Two Skaters, one with mass 65kg and the other with mass 42kg stand on an ice rink holding a pole with a length of 9.7m and a mass that is negligible. Starting from the ends of the pole the scaters pull themselves along the pole until they meet. How far will the 42kg skater move?
…
Okay I've determined that the center of mass is 3.8m from the 65 kg mass.
Am I correct in thinking that 9.7-3.8 is the answer? I don't have a place to run through a sample and couldn't find one here.

Hi JWDavid!

Yes, there's no external force, so the centre of mass doesn't move!

 

[JWDavid]

thanks