Question

A single conservative force acts on a 5.00kg particle within a system due to its interaction with the rest of the system. The equation Fx​=2x+4 describes the force, where Fx​ is in newtons and x is in meters. As the particle moves along the x axis from x=1.00m to x=5.00m, 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=5.00m if its speed is 3.00m/s at x=1.00m.