Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 54

The only force acting on a 2.0 kg body as the body moves along an x axis varies as shown in Fig. 7.28. The scale of the figure’s vertical axis is set by \( F_s = 4.0 \text{ N} \). The velocity of the body at \( x = 0 \) is 4.0 m/s. (a) What is the kinetic energy of the body at \( x = 3.0 \text{ m} \)? (b) At what value of \( x \) will the body have a kinetic energy of 8.0 J? (c) What is the maximum kinetic energy of the body between \( x = 0 \) and \( x = 5.0 \text{ m} \)?