Workers pushing a 180 kg trunk across a level floor encounter a 10 m long region where the floor becomes increasingly rough; the coefficient of kinetic friction increases from μ0 = .17 to .79 according to the expression ( μk = μ0 + ax^2 ) where a = 0.00062 m^-2, and x is the distance in meters from the beginning of the rough region.
how much work does it take to push the trunk at constant speed across the region?