A big olive (m = 0.12 kg) lies at the origin of an xy coordinate system, and a big Brazil nut (M = 0.62 kg) lies at the point ( 1.1, 2.1) m. At t = 0, a force F o = (3.8î + 2.1ŷ) N begins to act on the olive, and a force F N = ( – 3.9î – 2.0f) 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 s, with respect to its position at t = 0? (a) Number i Units (b) Number Units

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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]
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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