A particle P moves on the x-axis under the force . Show that the F is conservative . I want to show the work done on the particle is zero when it moves around a closed path. So I solved F(x) = 0, got x=1,3 then integrated with these as the limits. Problem is I didn't get 0.
Second part of the question is 'show that there is a single stable equibrium for the motion of P'. Anyone any ideas on what that means?