Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.519 m at angle O = 30°. Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.71 x 10-14 N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C? В dAB A (a) Number: Units: (b) Number: i Units:

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of \( d_{AB} = 0.519 \, \text{m} \) at an angle \( \Theta = 30^\circ \). Particle C, with mass 9 g, is not shown. 

The net gravitational force acting on particle A due to particles B and C is \( 2.71 \times 10^{-14} \, \text{N} \) at an angle of \(-163.8^\circ\) from the positive x-axis.

**Questions:**

(a) What is the x-coordinate of particle C?  
(b) What is the y-coordinate of particle C?

---

**Diagram Explanation:**

The diagram shows an xy coordinate plane with two labeled points: A and B. 

- Particle A is located at the origin. 
- Particle B is shown to be at a distance \( d_{AB} \) from particle A. 
- The line connecting particle A and B makes an angle \( \Theta \) with the positive x-axis.

**Answer Inputs:**

- (a) Number: [Input box] Units: [Dropdown]
- (b) Number: [Input box] Units: [Dropdown]
Transcribed Image Text:**Problem Description:** Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of \( d_{AB} = 0.519 \, \text{m} \) at an angle \( \Theta = 30^\circ \). Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and C is \( 2.71 \times 10^{-14} \, \text{N} \) at an angle of \(-163.8^\circ\) from the positive x-axis. **Questions:** (a) What is the x-coordinate of particle C? (b) What is the y-coordinate of particle C? --- **Diagram Explanation:** The diagram shows an xy coordinate plane with two labeled points: A and B. - Particle A is located at the origin. - Particle B is shown to be at a distance \( d_{AB} \) from particle A. - The line connecting particle A and B makes an angle \( \Theta \) with the positive x-axis. **Answer Inputs:** - (a) Number: [Input box] Units: [Dropdown] - (b) Number: [Input box] Units: [Dropdown]
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