Walker, Halliday & Resnick — Kinetic Energy and Work: Problem 32

32 Figure 7-30 gives spring force \(F_x\) versus position \(x\) for the spring–block arrangement of Fig. 7-10. The scale is set by \(F_s = 160.0 \text{ N}\). We release the block at \(x = 12 \text{ cm}\). How much work does the spring do on the block when the block moves from \(x_i = +8.0 \text{ cm}\) to (a) \(x = +5.0 \text{ cm}\), (b) \(x = -5.0 \text{ cm}\), (c) \(x = -8.0 \text{ cm}\), and (d) \(x = -10.0 \text{ cm}\)?