In the figure particle 1 of charge -4.20g and particle 2 of charge +1.30g are held at separation L = 5.30 m on an x axis. If particle 3 of unknown charge 93 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3? (a) Number i Units m (b) Number i Units m

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### Physics Inquiry: Locating a Particle with Zero Net Electrostatic Force

#### Problem Statement:
In the figure, particle 1 with a charge of \(-4.20q\) and particle 2 with a charge of \(+1.30q\) are held at a separation distance \(L = 5.30\) meters on an x-axis. If particle 3, having an unknown charge \(q_3\), is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3?

#### Diagram Explanation:
The provided diagram illustrates two particles on an x-axis:
- Particle 1 is located at the origin (0, 0) with a negative charge \(-4.20q\).
- Particle 2 is positioned at \( x = L \) with a positive charge \(+1.30q\).

The question aims to determine the optimal coordinates for a third particle to neutralize the net electrostatic force imposed on it by the existing particles.

#### Questions:
(a) Determine the x-coordinate of particle 3:
- **Answer Box:** [   ]
- **Units Dropdown:** (Select unit: meters)

(b) Determine the y-coordinate of particle 3:
- **Answer Box:** [   ]
- **Units Dropdown:** (Select unit: meters)

Understanding the balance of electrostatic forces will deliver the precise coordinates ensuring that the forces exerted by particle 1 and particle 2 on particle 3 counteract each other completely.
Transcribed Image Text:### Physics Inquiry: Locating a Particle with Zero Net Electrostatic Force #### Problem Statement: In the figure, particle 1 with a charge of \(-4.20q\) and particle 2 with a charge of \(+1.30q\) are held at a separation distance \(L = 5.30\) meters on an x-axis. If particle 3, having an unknown charge \(q_3\), is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3? #### Diagram Explanation: The provided diagram illustrates two particles on an x-axis: - Particle 1 is located at the origin (0, 0) with a negative charge \(-4.20q\). - Particle 2 is positioned at \( x = L \) with a positive charge \(+1.30q\). The question aims to determine the optimal coordinates for a third particle to neutralize the net electrostatic force imposed on it by the existing particles. #### Questions: (a) Determine the x-coordinate of particle 3: - **Answer Box:** [ ] - **Units Dropdown:** (Select unit: meters) (b) Determine the y-coordinate of particle 3: - **Answer Box:** [ ] - **Units Dropdown:** (Select unit: meters) Understanding the balance of electrostatic forces will deliver the precise coordinates ensuring that the forces exerted by particle 1 and particle 2 on particle 3 counteract each other completely.
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