A single conservative force F$($x$)$ acts on a $4\mathrm{.}0$ kg particle that moves along an x axis. The potential energy U$($x$)$ associated with F$($x$)$ is given by U$($x$)=-2$xe$^(-$x$5)$ where U is in Joules and x is in meters. At x $=5$ m the particle has a kinetic energy of $5\mathrm{.}2$ 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?