Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 11

11 A particle travels through a three-dimensional displacement given by \(\vec{d} = (5.00\hat{i} - 3.00\hat{j} + 4.00\hat{k}) \text{ m}\). If a force of magnitude \(22.0 \text{ N}\) and with fixed orientation does work on the particle, find the angle between the force and the displacement if the change in the particle’s kinetic energy is (a) \(45.0 \text{ J}\) and (b) \(-45.0 \text{ J}\).