Suppose that q1 = 3 µC (3.0×106 C), q2 = -2 µC, and q3 = 1 µC. Coordinates are shown on the figure in cm. Find the magnitude of the net force on 3 in N.

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**
Suppose that \( q_1 = 3 \mu C \) ( \( 3.0 \times 10^{-6} \) C), \( q_2 = -2 \mu C \), and \( q_3 = 1 \mu C \). Coordinates are shown on the figure in cm. Find the magnitude of the net force on \( q_3 \) in N.

**Diagram Explanation:**
The provided figure is a two-dimensional graph with point charges located at specific coordinates. The coordinates are presented in centimeters (cm).

**Coordinates and Charges:**
- \( q_1 \) at \((0, 0)\) with a charge of \( +3 \mu C \) 
- \( q_2 \) at \((1, 4)\) with a charge of \( -2 \mu C \)
- \( q_3 \) at \((5, 0)\) with a charge of \( +1 \mu C \)

**Visual Elements in the Diagram:**
1. **Axes:**
    - The horizontal (x-axis) and vertical (y-axis) are labeled with distances in centimeters (cm).

2. **Point Charges:**
    - \( q_1 \) is positioned at the origin \((0,0)\).
    - \( q_2 \) is at position \((1,4)\).
    - \( q_3 \) is at position \((5,0)\).

3. **Force Vectors:**
    - \( \vec{F}_{23} \): The force on \( q_3 \) due to \( q_2 \) is represented by an arrow pointing from \( q_2 \) towards \( q_3 \), indicating an attractive force.
    - \( \vec{F}_{13} \): The force on \( q_3 \) due to \( q_1 \) is depicted by an arrow pointing away from \( q_1 \) towards \( q_3 \), showing a repulsive force.
    - \( \vec{F}_{net} \): The net force on \( q_3 \) represented as the resultant vector of \( \vec{F}_{13} \) and \( \vec{F}_{23} \).

**Formula:**
The net force \( \vec{F}_{net} \) on \( q_3 \)
Transcribed Image Text:**Problem Statement:** Suppose that \( q_1 = 3 \mu C \) ( \( 3.0 \times 10^{-6} \) C), \( q_2 = -2 \mu C \), and \( q_3 = 1 \mu C \). Coordinates are shown on the figure in cm. Find the magnitude of the net force on \( q_3 \) in N. **Diagram Explanation:** The provided figure is a two-dimensional graph with point charges located at specific coordinates. The coordinates are presented in centimeters (cm). **Coordinates and Charges:** - \( q_1 \) at \((0, 0)\) with a charge of \( +3 \mu C \) - \( q_2 \) at \((1, 4)\) with a charge of \( -2 \mu C \) - \( q_3 \) at \((5, 0)\) with a charge of \( +1 \mu C \) **Visual Elements in the Diagram:** 1. **Axes:** - The horizontal (x-axis) and vertical (y-axis) are labeled with distances in centimeters (cm). 2. **Point Charges:** - \( q_1 \) is positioned at the origin \((0,0)\). - \( q_2 \) is at position \((1,4)\). - \( q_3 \) is at position \((5,0)\). 3. **Force Vectors:** - \( \vec{F}_{23} \): The force on \( q_3 \) due to \( q_2 \) is represented by an arrow pointing from \( q_2 \) towards \( q_3 \), indicating an attractive force. - \( \vec{F}_{13} \): The force on \( q_3 \) due to \( q_1 \) is depicted by an arrow pointing away from \( q_1 \) towards \( q_3 \), showing a repulsive force. - \( \vec{F}_{net} \): The net force on \( q_3 \) represented as the resultant vector of \( \vec{F}_{13} \) and \( \vec{F}_{23} \). **Formula:** The net force \( \vec{F}_{net} \) on \( q_3 \)
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