College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Problem Statement:**
A big olive (mass \(m = 0.12 \, \text{kg}\)) lies at the origin of an \(xy\) coordinate system, and a big Brazil nut (mass \(M = 0.62 \, \text{kg}\)) lies at the point \((1.1, 2.1) \, \text{m}\). At \(t = 0\), a force \(\vec{F}_O = (3.8\hat{i} + 2.1\hat{j}) \, \text{N}\) begins to act on the olive, and a force \(\vec{F}_N = (-3.9\hat{i} - 2.0\hat{j}) \, \text{N}\) begins to act on the nut.
What is the (a) \(x\) and (b) \(y\) displacement of the center of mass of the olive-nut system at \(t = 3.5 \, \text{s}\), with respect to its position at \(t = 0\)?
**Answer Boxes:**
(a)
- **Number:** [Input Box]
- **Units:** [Dropdown with unit options]
(b)
- **Number:** [Input Box]
- **Units:** [Dropdown with unit options]](https://content.bartleby.com/qna-images/question/e9d15e77-8c44-4e48-af9a-bae33a9e346c/cec43680-1888-4361-9e26-9ef5559b2cc2/dvqepj_processed.png)
Transcribed Image Text:**Problem Statement:**
A big olive (mass \(m = 0.12 \, \text{kg}\)) lies at the origin of an \(xy\) coordinate system, and a big Brazil nut (mass \(M = 0.62 \, \text{kg}\)) lies at the point \((1.1, 2.1) \, \text{m}\). At \(t = 0\), a force \(\vec{F}_O = (3.8\hat{i} + 2.1\hat{j}) \, \text{N}\) begins to act on the olive, and a force \(\vec{F}_N = (-3.9\hat{i} - 2.0\hat{j}) \, \text{N}\) begins to act on the nut.
What is the (a) \(x\) and (b) \(y\) displacement of the center of mass of the olive-nut system at \(t = 3.5 \, \text{s}\), with respect to its position at \(t = 0\)?
**Answer Boxes:**
(a)
- **Number:** [Input Box]
- **Units:** [Dropdown with unit options]
(b)
- **Number:** [Input Box]
- **Units:** [Dropdown with unit options]
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