---
title: "A block with a mass of \\( 4 \\) \\( \\text{kg} \\) is attached to a spring on the wall that oscillates back and forth with a frequency of \\( 4 \\) \\( \\text{Hz} \\) and an amplitude of \\( 3 \\) \\( \\text{m} \\). What would the frequency be if the block were replaced by one with one‑fourth the mass and the amplitude of the block is increased to \\( 9 \\) \\( \\text{m} \\)?"
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url: "https://nerd-notes.com/ubq/88176/"
date_modified: "2025-04-17T06:00:50+00:00"
---

# A block with a mass of \( 4 \) \( \text{kg} \) is attached to a spring on the wall that oscillates back and forth with a frequency of \( 4 \) \( \text{Hz} \) and an amplitude of \( 3 \) \( \text{m} \). What would the frequency be if the block were replaced by one with one‑fourth the mass and the amplitude of the block is increased to \( 9 \) \( \text{m} \)?

A block with a mass of \( 4 \) \( \text{kg} \) is attached to a spring on the wall that oscillates back and forth with a frequency of \( 4 \) \( \text{Hz} \) and an amplitude of \( 3 \) \( \text{m} \). What would the frequency be if the block were replaced by one with one‑fourth the mass and the amplitude of the block is increased to \( 9 \) \( \text{m} \)?

- **A.** \( 4  \text{Hz} \)
- **B.** \( 8  \text{Hz} \)
- **C.** \( 12 \text{Hz} \)
- **D.** \( 24  \text{Hz} \)
- **E.** \( 48  \text{Hz} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88176/*