A mass m is confined to move along a straight line in a potential well given by U(x) = - Eo/(1 + (x/a)2)3, where a and Eo are positive constants.
A] Write the equation for the force acting on the particle.
B] Find the point (or points) at which the particle is in equilibrium.
C] For each point found in Part B, determine if the point is stable, unstable, or neutral equilibrium.