Three positively charged particles are positioned as in the diagram below. The charges on the y-axis are 40. cm apart. Determine the net force acting on the particle on the x-axis. 6x11 167 2-7 +2.0 μC 2 +2.0 CC 30 30° 3.5 μC Bay! X • umild 9375 net for ce Cac tickes 0.0682N In x-axi Not quite. Force directi

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### Problem Statement
Three positively charged particles are positioned as in the diagram below. The charges on the y-axis are 40.0 cm apart. Determine the net force acting on the particle on the x-axis.

### Diagram Explanation

In the diagram:
- There are three particles:
  - Two particles with charges of +2.0 µC each are positioned on the y-axis. 
  - One particle with a charge of +3.5 µC is positioned on the x-axis.
- The distance between the particles is given as 40.0 cm.
- The angles between the forces acting on the particle on the x-axis are marked as 30 degrees.
- The forces are represented with vectors, and calculations appear to be aiming at resolving the net force.

### Graph Details

The diagram includes:
- A Cartesian coordinate system with x and y axes.
- The two positively charged particles on the y-axis are separated by 40 cm.
- The third positively charged particle is positioned on the x-axis.
- There are angular measurements of 30° from the line connecting the charges on the y-axis to the charge on the x-axis.

### Handwritten Notes and Calculations

- The handwritten notes suggest the use of Coulomb's law to determine the forces acting between the charged particles.
- Intermediate values and calculations are partially shown, such as "9 x 10^9" which refers to Coulomb's constant (k).
- There is a calculation of net force in the vector form involving directions and magnitudes.
- Partial results and directions are marked, with a note in red stating "Not quite" indicating a potential error in the force direction calculations.

### Conclusion

To determine the net force acting on the particle on the x-axis, students must:
1. Calculate the forces between each pair of particles using Coulomb's law.
2. Resolve the forces into their x and y components.
3. Sum all x and y components separately to find the total force vector acting on the particle on the x-axis.

The key learning outcome is to understand how to apply Coulomb’s law in vector form and resolve the resulting force vectors to find the net force in electrostatic problems involving multiple charged particles.
Transcribed Image Text:### Problem Statement Three positively charged particles are positioned as in the diagram below. The charges on the y-axis are 40.0 cm apart. Determine the net force acting on the particle on the x-axis. ### Diagram Explanation In the diagram: - There are three particles: - Two particles with charges of +2.0 µC each are positioned on the y-axis. - One particle with a charge of +3.5 µC is positioned on the x-axis. - The distance between the particles is given as 40.0 cm. - The angles between the forces acting on the particle on the x-axis are marked as 30 degrees. - The forces are represented with vectors, and calculations appear to be aiming at resolving the net force. ### Graph Details The diagram includes: - A Cartesian coordinate system with x and y axes. - The two positively charged particles on the y-axis are separated by 40 cm. - The third positively charged particle is positioned on the x-axis. - There are angular measurements of 30° from the line connecting the charges on the y-axis to the charge on the x-axis. ### Handwritten Notes and Calculations - The handwritten notes suggest the use of Coulomb's law to determine the forces acting between the charged particles. - Intermediate values and calculations are partially shown, such as "9 x 10^9" which refers to Coulomb's constant (k). - There is a calculation of net force in the vector form involving directions and magnitudes. - Partial results and directions are marked, with a note in red stating "Not quite" indicating a potential error in the force direction calculations. ### Conclusion To determine the net force acting on the particle on the x-axis, students must: 1. Calculate the forces between each pair of particles using Coulomb's law. 2. Resolve the forces into their x and y components. 3. Sum all x and y components separately to find the total force vector acting on the particle on the x-axis. The key learning outcome is to understand how to apply Coulomb’s law in vector form and resolve the resulting force vectors to find the net force in electrostatic problems involving multiple charged particles.
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