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A particle is subject to a force *F*_{x} that varies with position as shown in Figure P7.15. Find the work done by the force on the particle as it moves (a) from *x* = 0 to *x* = 5.00 m, (b) from *x* = 5.00 m to *x* = 10.0 m, and (c) from *x* = 10.0 m to *x* = 15.0 m. (d) What is the total work done by the force over the distance *x* = 0 to *x* = 15.0 m?