Question: a single conservative force fx acts on a 23 kg...
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) = -5xe-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.