# Question: a single conservative force fx acts on a 23 kg...

###### Question details

A single conservative force *F*(*x*) acts on a 2.3
kg particle that moves along an *x* axis. The potential
energy *U*(*x*) associated with
*F*(*x*) is given by

*U*(*x*) = -5*xe ^{-x/6}*

where

*U*is in Joules and

*x*is in meters. At

*x*= 5 m the particle has a kinetic energy of 22 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?

note: I'm having trouble finding (b) and (c). Please show work. Thank you.