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Calculate the Value of K (Coulomb’s constant) using the slope of your constant. Include unit analysis. Show work below

Calculate the Value of K (Coulomb’s constant) using the slope of your constant. Include unit analysis. Show work below

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Calculate the Value of K (Coulomb’s constant) using the slope of your constant. Include unit analysis. Show work below

### Distance vs Force This plot illustrates the relationship between the distance separating two charges and the force exerted between them. #### Graph Details: - **Title:** Distance vs Force - **Y-Axis (Vertical):** Force Between Charges (N) - measured in Newtons (N). - **X-Axis (Horizontal):** Distance Between Charges (m) - measured in meters (m). #### Data Points: - The graph depicts data points which are marked with blue dots. - A trend line, shown as a dotted line, is fitted to the data points and follows the equation \( y = x^{-2} \), indicating an inverse square relationship. #### Observations: - As the distance between the charges increases, the force between the charges decreases. - At shorter distances (closer to 0.01 to 0.02 meters), the force is significantly higher, reaching up to approximately 2500 N. - As the distance extends to about 0.10 meters, the force reduces dramatically, falling below 500 N. This inverse square law is consistent with Coulomb’s law in electrostatics, which states that the force between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them.
Transcribed Image Text:### Distance vs Force This plot illustrates the relationship between the distance separating two charges and the force exerted between them. #### Graph Details: - **Title:** Distance vs Force - **Y-Axis (Vertical):** Force Between Charges (N) - measured in Newtons (N). - **X-Axis (Horizontal):** Distance Between Charges (m) - measured in meters (m). #### Data Points: - The graph depicts data points which are marked with blue dots. - A trend line, shown as a dotted line, is fitted to the data points and follows the equation \( y = x^{-2} \), indicating an inverse square relationship. #### Observations: - As the distance between the charges increases, the force between the charges decreases. - At shorter distances (closer to 0.01 to 0.02 meters), the force is significantly higher, reaching up to approximately 2500 N. - As the distance extends to about 0.10 meters, the force reduces dramatically, falling below 500 N. This inverse square law is consistent with Coulomb’s law in electrostatics, which states that the force between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them.
### Physics Education: Investigating Electrostatic Forces Below is a table illustrating the relationship between the distance \( D \) between two charges (in meters) and the resulting electrostatic force \( F \) (in Newtons) according to Coulomb's law. #### Table: Dependence of Electrostatic Force on Distance | \( q_2 \) Position (cm) | \( D \) (Distance between charges in m) | \( D^2 \) | \( \frac{1}{D^2} \) | \( F \) (Force between charges in N) | |-------------------------|-----------------------------------------|-----------|---------------------|-------------------------------------| | 2 cm | 0.02 | 0.00 | 2500.00 | 22.47 | | 3 cm | 0.03 | 0.00 | 1111.11 | 9.35 | | 4 cm | 0.04 | 0.00 | 625.00 | 5.62 | | 5 cm | 0.05 | 0.00 | 400.00 | 3.60 | | 6 cm | 0.06 | 0.00 | 277.78 | 2.50 | | 7 cm | 0.07 | 0.00 | 204.08 | 1.83 | | 8 cm | 0.08 | 0.01 | 156.25 | 1.40 | | 9 cm | 0.09 | 0.01 | 123.46 | 1.11 | | 10 cm | 0.10 | 0.01 | 100.00 | 0.90 | ### Explanation of Columns - **\( q_2 \) Position (cm):** This column records the position of one of the charges in centimeters. - **\( D \) (Distance between charges in m):** This column shows the actual distance between the charges, converted into meters. - **\( D^2 \):** This gives the square of the distance \( D \). - **\( \frac{1}{D^2} \
Transcribed Image Text:### Physics Education: Investigating Electrostatic Forces Below is a table illustrating the relationship between the distance \( D \) between two charges (in meters) and the resulting electrostatic force \( F \) (in Newtons) according to Coulomb's law. #### Table: Dependence of Electrostatic Force on Distance | \( q_2 \) Position (cm) | \( D \) (Distance between charges in m) | \( D^2 \) | \( \frac{1}{D^2} \) | \( F \) (Force between charges in N) | |-------------------------|-----------------------------------------|-----------|---------------------|-------------------------------------| | 2 cm | 0.02 | 0.00 | 2500.00 | 22.47 | | 3 cm | 0.03 | 0.00 | 1111.11 | 9.35 | | 4 cm | 0.04 | 0.00 | 625.00 | 5.62 | | 5 cm | 0.05 | 0.00 | 400.00 | 3.60 | | 6 cm | 0.06 | 0.00 | 277.78 | 2.50 | | 7 cm | 0.07 | 0.00 | 204.08 | 1.83 | | 8 cm | 0.08 | 0.01 | 156.25 | 1.40 | | 9 cm | 0.09 | 0.01 | 123.46 | 1.11 | | 10 cm | 0.10 | 0.01 | 100.00 | 0.90 | ### Explanation of Columns - **\( q_2 \) Position (cm):** This column records the position of one of the charges in centimeters. - **\( D \) (Distance between charges in m):** This column shows the actual distance between the charges, converted into meters. - **\( D^2 \):** This gives the square of the distance \( D \). - **\( \frac{1}{D^2} \
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