A 59.1 kg ice skater, moving at 13.3 m/s, crashes into a stationary skater of equal mass. After the collision, the two skaters move as a unit at 6.65 m/s. Suppose the average force a skater experience without breaking a bone is 4656 N. If the impact time is 0.166 s, what is the magnitude of the average force each skater experiences?