A particle is confined to move along the +x axis under the action of a force F(x) that is derivable from the potential U(x) =ax³+bx. (a) Find the expression for F(x) (b) When the total energy of the particle is zero, the particle can be trapped with in the interval x=0 to x=x1 . For this case find the values of x1 . (c) Determine the maximum kinetic energy that the trapped particle has in its motion. Express all answers in terms a and b.
