Part A: Find the x components of each of the three pulls. Express your answers in newtons separated by commas. Part B: Find the y components of each of the three pulls. Express your answers in newtons separated by commas. Part C: Use the components to find the magnitude of the resultant of the three pulls. Express your answer in newtons to three significant figures.

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**Problem: Freeing an SUV Stuck in the Mud**

Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure. Take F1 = 939 N, F2 = 658 N, F3 = 451 N.

**Part A:** Find the x-components of each of the three pulls. Express your answers in newtons separated by commas.

**Part B:** Find the y-components of each of the three pulls. Express your answers in newtons separated by commas.

**Part C:** Use the components to find the magnitude of the resultant of the three pulls. Express your answer in newtons to three significant figures.
Transcribed Image Text:**Problem: Freeing an SUV Stuck in the Mud** Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure. Take F1 = 939 N, F2 = 658 N, F3 = 451 N. **Part A:** Find the x-components of each of the three pulls. Express your answers in newtons separated by commas. **Part B:** Find the y-components of each of the three pulls. Express your answers in newtons separated by commas. **Part C:** Use the components to find the magnitude of the resultant of the three pulls. Express your answer in newtons to three significant figures.
The image depicts a diagram with three force vectors, \( F_1 \), \( F_2 \), and \( F_3 \), shown in relation to the x-y coordinate system.

- **Coordinate Axes:**
  - The horizontal axis is labeled as the x-axis.
  - The vertical axis is labeled as the y-axis.

- **Forces:**
  - \( F_1 \) is a vector forming an angle of 31° with the positive x-axis in the first quadrant.
  - \( F_2 \) is a vector forming an angle of 32° with the positive y-axis in the second quadrant.
  - \( F_3 \) is a vector forming an angle of 53° with the negative x-axis in the third quadrant.

The forces originate from a common point, represented by a cylinder-like object at the origin of the coordinate system. Each vector is represented with magnitude direction using arrows, pointing outward from the origin. This diagram can be used to analyze the components and resultant of these forces in physics problems related to vector addition and equilibrium.
Transcribed Image Text:The image depicts a diagram with three force vectors, \( F_1 \), \( F_2 \), and \( F_3 \), shown in relation to the x-y coordinate system. - **Coordinate Axes:** - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. - **Forces:** - \( F_1 \) is a vector forming an angle of 31° with the positive x-axis in the first quadrant. - \( F_2 \) is a vector forming an angle of 32° with the positive y-axis in the second quadrant. - \( F_3 \) is a vector forming an angle of 53° with the negative x-axis in the third quadrant. The forces originate from a common point, represented by a cylinder-like object at the origin of the coordinate system. Each vector is represented with magnitude direction using arrows, pointing outward from the origin. This diagram can be used to analyze the components and resultant of these forces in physics problems related to vector addition and equilibrium.
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