---
title: "A \\(4.0\\text{ kg}\\) object moves along the \\(x\\)-axis on a frictionless horizontal surface. The net force \\(F_x\\) acting on the object as a function of position \\(x\\) is shown in the graph. At \\(x = 0\\text{ m}\\), the object is moving in the positive \\(x\\)-direction with a speed of \\(4.0\\text{ m/s}\\). What is the speed of the object when it reaches \\(x = 8.0\\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/120669/"
date_modified: "2026-08-23T04:42:35+00:00"
---

# A \(4.0\text{ kg}\) object moves along the \(x\)-axis on a frictionless horizontal surface. The net force \(F_x\) acting on the object as a function of position \(x\) is shown in the graph. At \(x = 0\text{ m}\), the object is moving in the positive \(x\)-direction with a speed of \(4.0\text{ m/s}\). What is the speed of the object when it reaches \(x = 8.0\text{ m}\)?

A \(4.0\text{ kg}\) object moves along the \(x\)-axis on a frictionless horizontal surface. The net force \(F_x\) acting on the object as a function of position \(x\) is shown in the graph. At \(x = 0\text{ m}\), the object is moving in the positive \(x\)-direction with a speed of \(4.0\text{ m/s}\). What is the speed of the object when it reaches \(x = 8.0\text{ m}\)?

![A 2D Cartesian coordinate graph showing force F_x in newtons on the vertical axis versus position x in meters on the horizontal axis. Both axes have light gray gridlines. The horizontal axis ranges from 0 to 8 with tick marks and integer labels at 0, 1, 2, 3, 4, 5, 6, 7, 8. The vertical axis ranges from -8 to 10 with tick marks and labels at -8, -6, -4, -2, 0, 2, 4, 6, 8, 10. A thick solid black line starts at (0, 0), rises linearly to (2, 8), continues horizontally to (4, 8), and decreases linearly to (6, 0). A vertical dashed line connects (6, 0) to (6, -7). From (6, -7), a solid horizontal line extends to (8, -7), where a vertical dashed line connects back to (8, 0). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460154-pMr2U4.jpg)

- **A.** \(3.0\text{ m/s}\)
- **B.** \(4.0\text{ m/s}\)
- **C.** \(5.0\text{ m/s}\)
- **D.** \(7.0\text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120669/*