Figure P9.46 shows the force \(F(x)\) plotted as a function of position \(x\).

(a) What average constant force applied between \(x=1 \mathrm{~m}\) and \(x=3 \mathrm{~m}\) will do the same amount of work?

(b) What is the work done by \(F(x)\) as the object moves from \(x=3 \mathrm{~m}\) to \(x=1 \mathrm{~m}\) ?

Figure P9.46 F (N) 4 3 2- 1 0 x (m) 0 1 2 3 4