1. J=F*t
This could be rearranged as, J = Ft = mv - mu
The first carriage, m1 : Ft=(m1)(4m/s)
The second carriage, m1: Ft=(m2)(6m/s)
So 4m1 = 6m2 or m1= 1.5m2
now m1u1+m2u2=(m1+m2)v
so (4m/s)+(6m/s) =(m1+m2)v and incorporating the relationship that m1=1.5m2
then...