---
title: "A pump is used to send water through a hose, the diameter of which is \\( 10 \\) times that of the nozzle through which the water exits. If the nozzle is \\( 1 \\) \\(\\text{m}\\) higher than the pump, and the water flows through the hose at \\( 0.4 \\) \\(\\text{m/s}\\), what is the difference in pressure between the pump and the atmosphere?"
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/79379/"
date_modified: "2025-03-04T12:57:13+00:00"
---

# A pump is used to send water through a hose, the diameter of which is \( 10 \) times that of the nozzle through which the water exits. If the nozzle is \( 1 \) \(\text{m}\) higher than the pump, and the water flows through the hose at \( 0.4 \) \(\text{m/s}\), what is the difference in pressure between the pump and the atmosphere?

A pump is used to send water through a hose, the diameter of which is \( 10 \) times that of the nozzle through which the water exits. If the nozzle is \( 1 \) \(\text{m}\) higher than the pump, and the water flows through the hose at \( 0.4 \) \(\text{m/s}\), what is the difference in pressure between the pump and the atmosphere?

- **A.** \( 108 \) \(\text{kPa} \)
- **B.** \( 260 \) \(\text{kPa} \)
- **C.** \( 400 \) \(\text{kPa} \)
- **D.** \( 810 \) \(\text{kPa} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/79379/*