A single conservative force acts on a 5.00-kg particle
within a system due to its interaction with the rest of the
system. The equation Fx 5 2x 1 4 describes the force,
where Fx is in newtons and x is in meters. As the particle
moves along the x axis from x 5 1.00 m to x 5 5.00 m,
calculate (a) the work done by this force on the particle,
(b) the change in the potential energy of the system, and
(c) the kinetic energy the particle has at x 5 5.00 m if its
speed is 3.00 m/s at x 5 1.00 m.
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