2. Motion in potential wells A particle of unit mass moves along the positive scaxis under the inu ence of a force F03) = F(:1:) i, where z' is a unit vector in the direction of increasing 3:. 2a bn ; _ x\"+1' F(a:) = (a) Find and sketch potential V(3:) for the three cases i. a=1,b=5,n=1. ii. a: 1,b=5,n=1. iii. a: 1, b=5, n=1. Henceforth, consider only the case a = 1, b = 5, n = 1