---
title: "A uniform solid disk of mass \\(M = 4.0\\text{ kg}\\) and radius \\(R = 0.50\\text{ m}\\) rolls without slipping up an incline. The graph shows the disk’s instantaneous angular velocity \\(\\omega\\) as a function of time \\(t\\). Between \\(t = 0\\text{ s}\\) and \\(t = 2.0\\text{ s}\\), what is the net work done on the disk?"
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/124239/"
date_modified: "2026-09-28T14:04:26+00:00"
---

# A uniform solid disk of mass \(M = 4.0\text{ kg}\) and radius \(R = 0.50\text{ m}\) rolls without slipping up an incline. The graph shows the disk’s instantaneous angular velocity \(\omega\) as a function of time \(t\). Between \(t = 0\text{ s}\) and \(t = 2.0\text{ s}\), what is the net work done on the disk?

A uniform solid disk of mass \(M = 4.0\text{ kg}\) and radius \(R = 0.50\text{ m}\) rolls without slipping up an incline. The graph shows the disk's instantaneous angular velocity \(\omega\) as a function of time \(t\). Between \(t = 0\text{ s}\) and \(t = 2.0\text{ s}\), what is the net work done on the disk?

![A Cartesian coordinate graph showing angular velocity \(\omega\) in radians per second on the vertical axis versus time \(t\) in seconds on the horizontal axis. The horizontal axis is labeled \(t\text{ (s)}\) with major tick marks and gridlines at integer intervals from \(0\) to \(5.0\). The vertical axis is labeled \(\omega\text{ (rad/s)}\) with major tick marks and gridlines at increments of \(2.0\) from \(0\) to \(12.0\). Thin gray gridlines form a coordinate grid across the entire plotting region. A single solid black line begins at the vertical intercept \((0, 10.0)\) and decreases linearly with constant negative slope, passing through the grid intersections \((1.0, 8.0)\), \((2.0, 6.0)\), \((3.0, 4.0)\), \((4.0, 2.0)\), and terminating at \((5.0, 0)\) on the horizontal axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604266-UUsnZY.jpg)

- **A.** \(-64\text{ J}\)
- **B.** \(-48\text{ J}\)
- **C.** \(-32\text{ J}\)
- **D.** \(-16\text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124239/*