---
title: "An object of mass \\(m\\) moves along the \\(x\\)-axis subject to a net conservative restoring force \\(F_x = -C x\\), where \\(C\\) is a positive constant and \\(x\\) is the position of the object relative to equilibrium. Which of the following differential equations describes the position \\(x(t)\\) of the object as a function of time \\(t\\)?"
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url: "https://nerd-notes.com/ubq/120948/"
date_modified: "2026-08-23T04:44:37+00:00"
---

# An object of mass \(m\) moves along the \(x\)-axis subject to a net conservative restoring force \(F_x = -C x\), where \(C\) is a positive constant and \(x\) is the position of the object relative to equilibrium. Which of the following differential equations describes the position \(x(t)\) of the object as a function of time \(t\)?

An object of mass \(m\) moves along the \(x\)-axis subject to a net conservative restoring force \(F_x = -C x\), where \(C\) is a positive constant and \(x\) is the position of the object relative to equilibrium. Which of the following differential equations describes the position \(x(t)\) of the object as a function of time \(t\)?

- **A.** \(\dfrac{d^2x}{dt^2} + \dfrac{C}{m}x = 0\)
- **B.** \(\dfrac{d^2x}{dt^2} - \dfrac{C}{m}x = 0\)
- **C.** \(\dfrac{d^2x}{dt^2} + \dfrac{m}{C}x = 0\)
- **D.** \(\dfrac{dx}{dt} + \dfrac{C}{m}x = 0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120948/*