Other Ba n.wiley.com/was/ui/v2/adaptive-assessment-player/index.html?launchid=d27faedb-20b7-4b61-a946-e85b4a820647#/activity Bartender M Gmail ▸YouTube N WeBWork: S_RR... WebWork: S_RR... Practice 1.8 Addition of Vectors by Means of Components Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115° relative to the x-axis. Vector has magnitude of C and is at an angle of 223° relative to the x-axis. The three vectors add up to zero, i.e., A + B + C = 0. What is the magnitude of vector C? O 135 mm O 97 mm O 108 mm 0 115 mm O 143 mm Submit Answer Save for Later
Other Ba n.wiley.com/was/ui/v2/adaptive-assessment-player/index.html?launchid=d27faedb-20b7-4b61-a946-e85b4a820647#/activity Bartender M Gmail ▸YouTube N WeBWork: S_RR... WebWork: S_RR... Practice 1.8 Addition of Vectors by Means of Components Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115° relative to the x-axis. Vector has magnitude of C and is at an angle of 223° relative to the x-axis. The three vectors add up to zero, i.e., A + B + C = 0. What is the magnitude of vector C? O 135 mm O 97 mm O 108 mm 0 115 mm O 143 mm Submit Answer Save for Later
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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Wondering if I can get some help with vectors where we know the direction but don't know the magnitude.
Transcribed Image Text:### 1.8 Addition of Vectors by Means of Components
**Practice Problem:**
Vector **
![### Vectors and Equilibrium Diagram
#### Problem #17
The diagram depicts three vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) arranged in a coordinate system. Each vector has a specific magnitude and direction which are labeled and described below.
#### Vectors
- **\(\vec{A}\) (Blue Vector)**
- Magnitude: 115 mm
- Direction: Horizontal along the positive x-axis
- **\(\vec{B}\) (Green Vector)**
- Angle with respect to the reference (positive x-axis): 25 degrees
- Located in the second quadrant (angled upward and to the left)
- **\(\vec{C}\) (Red Vector)**
- Angle with respect to the reference (positive x-axis): 148 degrees
- Located in the third quadrant (angled downward and to the left)
#### Equilibrium Equation
The relationship between the vectors is given by the following equilibrium equation:
\[ \vec{A} + \vec{B} + \vec{C} = 0 \]
This equation implies that the sum of the vectors results in a net force of zero, indicating that they are in a state of equilibrium.
#### Vector Components
To satisfy the equilibrium condition:
- The x-components and y-components of the vectors must each sum to zero.
- For \(\vec{A}\):
\[ A_x = 115 \, \text{mm} \]
\[ A_y = 0 \, \text{mm} \]
Thus, vector \(\vec{A}\) only has a horizontal component.
By adding the components of vectors \(\vec{B}\) and \(\vec{C}\) and ensuring they balance out \(\vec{A}\), we achieve equilibrium in the system.
#### Diagram Description
- A coordinate system with the x and y axes is provided.
- **Vector \(\vec{A}\)** is depicted as a blue arrow extending horizontally to the right along the x-axis.
- **Vector \(\vec{B}\)** is illustrated as a green arrow extending outward from the origin, angled at 25 degrees from the x-axis towards the second quadrant.
- **Vector \(\vec{C}\)** is illustrated as a red arrow pointing downwards to the left, with an angle of 148 degrees from the positive x-axis, belonging](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d4854d9-aadf-4fe0-b1f6-bd622f90aeab%2Ff7db34e7-4ddd-4d91-90ff-526aeed869f3%2Fgyw0rei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Vectors and Equilibrium Diagram
#### Problem #17
The diagram depicts three vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) arranged in a coordinate system. Each vector has a specific magnitude and direction which are labeled and described below.
#### Vectors
- **\(\vec{A}\) (Blue Vector)**
- Magnitude: 115 mm
- Direction: Horizontal along the positive x-axis
- **\(\vec{B}\) (Green Vector)**
- Angle with respect to the reference (positive x-axis): 25 degrees
- Located in the second quadrant (angled upward and to the left)
- **\(\vec{C}\) (Red Vector)**
- Angle with respect to the reference (positive x-axis): 148 degrees
- Located in the third quadrant (angled downward and to the left)
#### Equilibrium Equation
The relationship between the vectors is given by the following equilibrium equation:
\[ \vec{A} + \vec{B} + \vec{C} = 0 \]
This equation implies that the sum of the vectors results in a net force of zero, indicating that they are in a state of equilibrium.
#### Vector Components
To satisfy the equilibrium condition:
- The x-components and y-components of the vectors must each sum to zero.
- For \(\vec{A}\):
\[ A_x = 115 \, \text{mm} \]
\[ A_y = 0 \, \text{mm} \]
Thus, vector \(\vec{A}\) only has a horizontal component.
By adding the components of vectors \(\vec{B}\) and \(\vec{C}\) and ensuring they balance out \(\vec{A}\), we achieve equilibrium in the system.
#### Diagram Description
- A coordinate system with the x and y axes is provided.
- **Vector \(\vec{A}\)** is depicted as a blue arrow extending horizontally to the right along the x-axis.
- **Vector \(\vec{B}\)** is illustrated as a green arrow extending outward from the origin, angled at 25 degrees from the x-axis towards the second quadrant.
- **Vector \(\vec{C}\)** is illustrated as a red arrow pointing downwards to the left, with an angle of 148 degrees from the positive x-axis, belonging
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