Average force in a collision problem

[KatieLynn]

Homework Statement

A 59.8kg ice skater, moving at 14 m/s crashes into a stationary skater of equal mass. After the collision, the two skaters move as a unit at 7 m/s. Suppose the average force a skater can experience without breaking a bone is 4640N. If the impact time is 0.047s, what is the magnitude of the average force each skate experiences?

Homework Equations

impulse = change in momentum
change in momentum= m(Vf-Vi)
impulse=Faverage(change in time)

The Attempt at a Solution

Honestly, I'm not sure where to begin but I'll give it my best shot...

I'm going to try this

impulse = Faverage(change in time)

so impulse = 4640N (.047s) = 218.08 ...I don't think that's anywhere near what this problem is asking for though...

 

[Shooting Star]

The change in momentum of the 1st skater is known, which is equal to impulse = Fav x time. Then you can find Fav.