A single conservative force acts on a 5.30-kg 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 = 1.10 m to x = 5.40 m, calculate the following.
(a) the work done by this force on the particle
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(b) the change in the potential energy of the system
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(c) the kinetic energy the particle has at x = 5.40 m if its speed is 3.00 m/s at x = 1.10 m
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