---
title: "A student performs an experiment to determine the spring constant of an ideal spring. One end of the spring is attached to a rigid wall, and a force sensor pulls the other end horizontally with an external force of magnitude \\(F\\) to stretch the spring by an elongation \\(x\\). A graph of \\(F\\) as a function of \\(x\\) is shown. Based on the graph, what is the spring constant of the spring?"
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url: "https://nerd-notes.com/ubq/120577/"
date_modified: "2026-08-23T04:41:41+00:00"
---

# A student performs an experiment to determine the spring constant of an ideal spring. One end of the spring is attached to a rigid wall, and a force sensor pulls the other end horizontally with an external force of magnitude \(F\) to stretch the spring by an elongation \(x\). A graph of \(F\) as a function of \(x\) is shown. Based on the graph, what is the spring constant of the spring?

A student performs an experiment to determine the spring constant of an ideal spring. One end of the spring is attached to a rigid wall, and a force sensor pulls the other end horizontally with an external force of magnitude \(F\) to stretch the spring by an elongation \(x\). A graph of \(F\) as a function of \(x\) is shown. Based on the graph, what is the spring constant of the spring?

![A 2D Cartesian plot with a horizontal axis labeled x (m) and a vertical axis labeled F (N). The horizontal axis has major tick marks at 0.00, 0.10, 0.20, 0.30, 0.40, and 0.50. The vertical axis has major tick marks at 0, 20, 40, 60, 80, 100, and 120. Fine gridlines extend from each tick mark across the plotting area. A single solid straight line starts at the origin (0.00, 0) and extends through the points (0.10, 25), (0.20, 50), (0.30, 75), and (0.40, 100). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460101-l1q85c.jpg)

- **A.** \(20\text{ N/m}\)
- **B.** \(50\text{ N/m}\)
- **C.** \(125\text{ N/m}\)
- **D.** \(250\text{ N/m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120577/*