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 Description
Three forces are applied to a tree sapling to stabilize it, as shown in the provided figure. The forces are denoted as \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\). The magnitudes of the forces are as follows:
- \(\vec{F}_A = 325 \, \text{N}\)
- \(\vec{F}_B = 505 \, \text{N}\)
### Figure Explanation
The diagram illustrates a tree sapling with three force vectors acting on it:
- \(\vec{F}_A\) is directed towards the right.
- \(\vec{F}_B\) is directed upwards, forming an angle of \(105^\circ\) with \(\vec{F}_A\).
- \(\vec{F}_C\) is directed downwards and to the left, forming an angle \(\theta\) with \(\vec{F}_A\), moving clockwise.
### Tasks
**Part A**
Determine the magnitude of \(\vec{F}_C\).
- Express your answer to three significant figures and include the appropriate units.
\[ F_C = \text{Value} \, \text{Units} \]
Provide your answer by clicking “Submit.”
**Part B**
Determine the angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\), measured clockwise.
- Express your answer using three significant figures.
\[ \theta = \text{Value} \]
Provide your answer by clicking “Submit.”](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13f35f70-f7cc-4191-989b-66b4b15780c1%2Fa7a8aeaa-a57b-4926-8f88-c232e3975464%2Fyi25i34_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description
Three forces are applied to a tree sapling to stabilize it, as shown in the provided figure. The forces are denoted as \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\). The magnitudes of the forces are as follows:
- \(\vec{F}_A = 325 \, \text{N}\)
- \(\vec{F}_B = 505 \, \text{N}\)
### Figure Explanation
The diagram illustrates a tree sapling with three force vectors acting on it:
- \(\vec{F}_A\) is directed towards the right.
- \(\vec{F}_B\) is directed upwards, forming an angle of \(105^\circ\) with \(\vec{F}_A\).
- \(\vec{F}_C\) is directed downwards and to the left, forming an angle \(\theta\) with \(\vec{F}_A\), moving clockwise.
### Tasks
**Part A**
Determine the magnitude of \(\vec{F}_C\).
- Express your answer to three significant figures and include the appropriate units.
\[ F_C = \text{Value} \, \text{Units} \]
Provide your answer by clicking “Submit.”
**Part B**
Determine the angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\), measured clockwise.
- Express your answer using three significant figures.
\[ \theta = \text{Value} \]
Provide your answer by clicking “Submit.”
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