Serway & Jewett — Energy of a System: Problem 9.

A particle is subject to a force \( F_x \) that varies with position as shown in Figure P7.9. Find the work done by the force on the particle as it moves (a) from \( x = 0 \) to \( x = 5.00 \text{ m} \), (b) from \( x = 5.00 \text{ m} \) to \( x = 10.0 \text{ m} \), and (c) from \( x = 10.0 \text{ m} \) to \( x = 15.0 \text{ m} \). (d) What is the total work done by the force over the distance \( x = 0 \) to \( x = 15.0 \text{ m} \)?