Problem

A single conservative force

F_x

acts on a 2 kg particle that moves along the

x

-axis. The potential energy is given by

U = (x - 4)^2 - 16

Here,

x

is in metre and

U

in joule. At

x = 6.0 \text{ m}

kinetic energy of particle is 8 J. Find (a) total mechanical energy (b) maximum kinetic energy (c) values of

x

between which particle moves (d) the equation of

F_x

as a function of

x

(e) the value of

x

at which

F_x

is zero