---
title: "A particle is moved along the x-axis by a net force \\(F_x\\) that varies with the particle’s position \\(x\\) as shown in the graph. The particle starts at rest at \\(x = 0\\).   What is the total work done on the particle as it moves from \\(x = 0\\text{ m}\\) to \\(x = 8\\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/109303/"
date_modified: "2026-03-21T23:23:34+00:00"
---

# A particle is moved along the x-axis by a net force \(F_x\) that varies with the particle’s position \(x\) as shown in the graph. The particle starts at rest at \(x = 0\). 

What is the total work done on the particle as it moves from \(x = 0\text{ m}\) to \(x = 8\text{ m}\)?

A particle is moved along the x-axis by a net force \(F_x\) that varies with the particle's position \(x\) as shown in the graph. The particle starts at rest at \(x = 0\). 

What is the total work done on the particle as it moves from \(x = 0\text{ m}\) to \(x = 8\text{ m}\)?

![A graph of net force F_x in Newtons versus position x in meters. The vertical axis F_x ranges from -10 to 15 with major grid lines every 5 units. The horizontal axis x ranges from 0 to 8 with major grid lines every 2 units. The graph consists of three segments: 1) A horizontal line at F_x = 10 N from x = 0 to x = 2 m. 2) A straight line with a negative slope from (2, 10) to (6, 0). 3) A horizontal line at F_x = -5 N from x = 6 m to x = 8 m.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774135413-uCIrPs.jpg)

- **A.** \(20\text{ J}\)
- **B.** \(30\text{ J}\)
- **C.** \(40\text{ J}\)
- **D.** \(50\text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109303/*