In an experiment, one of the forces exerted on a proton is F = -ax2i, where a = 12 N/m2. (a) How much work does F do when the proton moves along the straight-line path from the point (0.10m, 0) to the point (0.10 m, O.40m)? (b) Along the straight-line path from the point (0.10 m, 0) to the point (0.30 m, O)?
(c) Along the straight-line path from the point (0.30 m, 0) to the point (0.10 m, O)? (d) Is the force F conservative? Explain. If F is conservative, what is the potential-energy function for it? Let V = o when x = O.