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**Problem Statement**

A particle moving along the x-axis experiences the force shown in the graph. How much work is done on the particle when it reaches \(x = 4.0 \, \text{m}\)?

**Graph Description**

- The graph is a piecewise linear plot of force \(F(x)\) in newtons (N) versus position \(x\) in meters (m).
- The force function \(F(x)\) is plotted on the vertical axis, ranging from 0 to 4 N.
- The position \(x\) is plotted on the horizontal axis, ranging from 0 to 4 meters.

**Graph Details**

- From \(x = 0\) to \(x = 2\), the force is constant at 2 N.
- From \(x = 2\) to \(x = 4\), the force increases linearly from 2 N to 4 N.

**Multiple Choice Options**

- \(0.16 \, \text{J}\)
- \(8.5 \, \text{J}\)
- \(10.5 \, \text{J}\)
- \(8 \, \text{J}\)

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