Problem 5: Solve problem 6 on page 313 of Gilat's book using function fzero for the root finding: 6. A scale is made of two springs, as rings shown in the figure. The sp are nonlinear such that the force they apply s given by Fs= K11+K2u3, where the k's are constants and u L-Lo is the elongation ofthe spring (L = ~a2+0+x)2 and Lo2+62 are the cur rent and initial lengths of the springs, respectively). Initially, the springs are not stretched. When an object is attached to the ring, the springs stretch and the ring is displaced downward a distance x. The weight of the object can be expressed in terms of the distance x by: W=2Fs For the given scale a 0.22 m, b 0.08m, and the springs' constants are K = 1600 Nm and K2= 100000 N/m. Plot W as a function of x for 0 Sxs0.25. Determine the distance x when a 400 N object is attached to the scale