Problem 2: The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement in the figure. The distances in the figure are x1 = 15 cm, x2 = 45 cm, x3 = 65 cm, and x4 = 85 cm, and the forces are F1 = 110 N and F2 = -45 N.
Part (a) Write an equation, in terms of the variables in the problem statement, for the amount of work required to compress the spring from the origin to x4.