Randall D. Knight — Work and Kinetic Energy: Problem 16

A 45 g bug is hovering in the air. A gust of wind exerts a force \(\vec{F} = (4.0\hat{i} - 6.0\hat{j}) \times 10^{-2}\text{ N}\) on the bug. a. How much work is done by the wind as the bug undergoes displacement \(\Delta\vec{r} = (2.0\hat{i} - 2.0\hat{j})\text{ m}\)? b. What is the bug’s speed at the end of this displacement? Assume that the speed is due entirely to the wind.