---
title: "A block of mass \\( m \\) is attached to a horizontal spring with spring constant \\( k \\) and undergoes simple harmonic motion with amplitude \\( A \\) along the \\( x \\)-axis. Which of the following equations could represent the position \\( x \\) of the object as a function of time?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/86818/"
date_modified: "2025-04-09T19:12:00+00:00"
---

# A block of mass \( m \) is attached to a horizontal spring with spring constant \( k \) and undergoes simple harmonic motion with amplitude \( A \) along the \( x \)-axis. Which of the following equations could represent the position \( x \) of the object as a function of time?

A block of mass \( m \) is attached to a horizontal spring with spring constant \( k \) and undergoes simple harmonic motion with amplitude \( A \) along the \( x \)-axis. Which of the following equations could represent the position \( x \) of the object as a function of time?

- **A.** \[ x = A \cos \left( \sqrt{\frac{k}{m}} t \right) \]
- **B.** \[ x = A \cos \left( \frac{1}{2\pi} \sqrt{\frac{k}{m}} t \right) \]
- **C.** \[ x = A \cos \left( 2\pi \left( \sqrt{\frac{m}{k}} \right) t \right) \]
- **D.** \[ x = A \cos \left( 4\pi^2 \left( \sqrt{\frac{m}{k}} \right) t \right) \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/86818/*