A single conservative force F(x) acts on a 1.1 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -2.0xe^(-x/5) where x is in meters. At x = 2.7 m the particle has a kinetic energy of 5.6 J.
(a) What is the mechanical energy of the system?
(b) What is the maximum kinetic energy of the particle and
(c) the value of x at which it occurs?