---
title: "A student swings a bucket containing \\(0.50\\text{ kg}\\) of water in a vertical circle of radius \\(0.90\\text{ m}\\). Assuming \\(g = 10\\text{ m/s}^2\\), what is the minimum speed the bucket can have at the highest point of the circular path so that the water remains in contact with the bottom of the bucket?"
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url: "https://nerd-notes.com/ubq/122430/"
date_modified: "2026-09-28T08:09:49+00:00"
---

# A student swings a bucket containing \(0.50\text{ kg}\) of water in a vertical circle of radius \(0.90\text{ m}\). Assuming \(g = 10\text{ m/s}^2\), what is the minimum speed the bucket can have at the highest point of the circular path so that the water remains in contact with the bottom of the bucket?

A student swings a bucket containing \(0.50\text{ kg}\) of water in a vertical circle of radius \(0.90\text{ m}\). Assuming \(g = 10\text{ m/s}^2\), what is the minimum speed the bucket can have at the highest point of the circular path so that the water remains in contact with the bottom of the bucket?

![A vertical circular trajectory is outlined by a thin dashed black circle. A solid black dot marks the center of the circle. A vertical solid line segment extends from the center dot to the top point of the circle, labeled \(R\). At the top of the circle, an inverted bucket is drawn with its flat base facing upward and its open mouth facing downward toward the center. A horizontal arrow pointing to the left begins at the center of the bucket, labeled \(\vec{v}\). A downward vertical arrow from the bucket points toward the central pivot. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790582988-IIUc4K.jpg)

- **A.** \(2.1\text{ m/s}\)
- **B.** \(3.0\text{ m/s}\)
- **C.** \(4.2\text{ m/s}\)
- **D.** \(9.0\text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/122430/*