A particle of mass m is moving along the x axis. The potential energy of the particle is given by the function U (x) = Eo(1 – e a?) where Eo is a positive constant. (a) Compute the expression for the force F acting on the particle at any x. (b) Find the points of equilibria and classify them as stable/unstable/ neutral.(You can ignore x → ±∞).

A particle of mass m is moving along the x axis. The potential energy of the particle is given by the function U (x) = Eo(1 – e a?) where Eo is a positive constant. (a) Compute the expression for the force F acting on the particle at any x. (b) Find the points of equilibria and classify them as stable/unstable/ neutral.(You can ignore x → ±∞).