A particle is moving along the x axis under the influence of a conservative force given by F = [−(4.00 N/m)x + (9.00 N/m2)x2]î. If U(x) = 0 when x = 0, determine the following as the particle travels from xi = 2.70 m to xf = 6.10 m. (a) The potential energy function U(x). (Use the following as necessary: x. Do not enter units in your expression.) U(x) =    (b) Change in potential energy of the particle.  J (c) Change in kinetic energy of the particle.  J (d) Work done on the particle by the force F.  J

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