Question

FIGURE is the force-versus-position graph for a particle moving along the $x-$axis. Determine the work done on the particle during each of the three intervals $0–1$m, $1–2$m, and $2–3$m.

Short answer

$$\begin{gathered} W_{0-1}=4J \\ {W}_{1-2}=0J \\ {W}_{2-3}=-2J \end{gathered}$$

Step-by-step solution

Step 1. Given Information

We have,

Step 2. Find the work done

We can calculate area under F-x graph

$$\begin{gathered} W_{0-1}=4J \\ {W}_{1-2}=4N4·0.5m-4N·0.5m=0J \\ {W}_{2-3}=-\frac{1}{2}·4N·1m=-2J \end{gathered}$$