---
title: "A large, empty plastic jug with mass \\( m_j \\) and volume \\( V_j \\) floats in a pool of water, as shown in the figure. If the density of water is \\( \\rho_w \\), which of the following expressions is equal to the volume of water \\( V_w \\) that must be added to the jug so that the top of the jug will be at the level of the water?"
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url: "https://nerd-notes.com/ubq/106160/"
date_modified: "2026-08-18T02:39:30+00:00"
---

# A large, empty plastic jug with mass \( m_j \) and volume \( V_j \) floats in a pool of water, as shown in the figure. If the density of water is \( \rho_w \), which of the following expressions is equal to the volume of water \( V_w \) that must be added to the jug so that the top of the jug will be at the level of the water?

A large, empty plastic jug with mass \( m_j \) and volume \( V_j \) floats in a pool of water, as shown in the figure. If the density of water is \( \rho_w \), which of the following expressions is equal to the volume of water \( V_w \) that must be added to the jug so that the top of the jug will be at the level of the water?

- **A.** \[ \dfrac{m_j}{\rho_w} \]
- **B.** \[ V_j – \dfrac{m_j}{\rho_w} \]
- **C.** \[ V_j + \dfrac{m_j}{\rho_w} \]
- **D.** \[ \dfrac{\rho_w V_j}{m_j} \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/106160/*