---
title: "An object at rest suddenly explodes into two fragments (\\(m_1\\) and \\(m_2\\)) by an explosion. Fragment \\(m_1\\) acquires \\(3\\) times the kinetic energy of the other. What is the ratio of \\(m_1\\) to \\(m_2\\)?"
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/21451/"
date_modified: "2025-10-17T05:01:37+00:00"
---

# An object at rest suddenly explodes into two fragments (\(m_1\) and \(m_2\)) by an explosion. Fragment \(m_1\) acquires \(3\) times the kinetic energy of the other. What is the ratio of \(m_1\) to \(m_2\)?

An object at rest suddenly explodes into two fragments (\(m_1\) and \(m_2\)) by an explosion. Fragment \(m_1\) acquires \(3\) times the kinetic energy of the other. What is the ratio of \(m_1\) to \(m_2\)?

- **A.** \(1:1\)
- **B.** \(1:3\)
- **C.** \(1:6\)
- **D.** \(1:9\)
- **E.** \(1:12\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/21451/*