An 85kg baseball player is running towards home base at 8.0 m/s when he crashes into the catcher who is initially at rest. the two players slide together along the base path toward home plate. If the mass of the catcher is 95 kg and the coefficient of kinetic friction between the players and the ground is .70, how far will the players slide?
1) Wnc = ΔKE + ΔPE
2) mv + mv = (m+m)v
The Attempt at a Solution
I found the final velocity using equation 2, and used it to find Δx in equation 1. I'm not sure if this is right.
.70*1764N*Δx*cos180=(1/2)*180kg*(3.78 m/s)^(2) - (1/2)85kg*(8 m/s)^(2)
-1235N*Δx = -1434N