---
title: "A boy of mass \\( m \\) and a girl of mass \\( 2m \\) are initially at rest at the center of a frozen pond. They push each other so that she slides to the left at speed \\( v \\) across the frictionless ice surface and he slides to the right. What is the total work done by the children?"
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url: "https://nerd-notes.com/ubq/84519/"
date_modified: "2025-03-27T03:10:18+00:00"
---

# A boy of mass \( m \) and a girl of mass \( 2m \) are initially at rest at the center of a frozen pond. They push each other so that she slides to the left at speed \( v \) across the frictionless ice surface and he slides to the right. What is the total work done by the children?

A boy of mass \( m \) and a girl of mass \( 2m \) are initially at rest at the center of a frozen pond. They push each other so that she slides to the left at speed \( v \) across the frictionless ice surface and he slides to the right. What is the total work done by the children?

- **A.** \( mv \)
- **B.** \( mv^2 \)
- **C.** \( 2mv^2 \)
- **D.** \( 3mv^2 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/84519/*