The two forces F₁ and F₂ shown in the figure (Figure 1) (looking down) act on a 16.0-kg object on a frictionless tabletop igure F₁ 90° 120° (b) < 1 of 1 Part A If F₁ 12.0 N and F₂=21.0 N, find the magnitude of the net force on the object for (a). ΠΫΠΙ ΑΣΦ 1 F= Submit Part B 0= Find the direction of the net force on the object for (a). Submit Part C Request Answer a= G| ΑΣΦ S → C Submit Request Answer [5] ΑΣΦ 5 A SUP Find the magnitude of the acceleration of the object for (a). Request Answer ? P Pearson ? ? N from the + axis

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The problem involves calculating the net force and acceleration of an object subjected to two forces on a frictionless tabletop. The mass of the object is 16.0 kg.

### Diagram Explanation
- The figure displays two scenarios (a) and (b) showing vectors representing forces \( \mathbf{F_1} \) and \( \mathbf{F_2} \):
  - In diagram (a), \( \mathbf{F_1} \) is directed along the positive x-axis, and \( \mathbf{F_2} \) is along the negative y-axis.
  - In diagram (b), \( \mathbf{F_1} \) is at an angle of 120° from the positive x-axis, showing a different direction.

### Part A
- **Task:** Calculate the magnitude of the net force on the object.
- **Given:** 
  - \( \mathbf{F_1} = 12.0 \, \text{N} \)
  - \( \mathbf{F_2} = 21.0 \, \text{N} \)
- **Input Box:** Enter the computed net force in Newtons (N).

### Part B
- **Task:** Determine the direction of the net force on the object from the positive x-axis.
- **Input Box:** Enter the angle \( \theta \) in degrees from the positive x-axis.

### Part C
- **Task:** Find the magnitude of the acceleration of the object.
- **Result:** Enter the acceleration in meters per second squared (\( \text{m/s}^2 \)).

Each part includes a "Submit" button to check your answers and functionality for requesting hints if needed.
Transcribed Image Text:The problem involves calculating the net force and acceleration of an object subjected to two forces on a frictionless tabletop. The mass of the object is 16.0 kg. ### Diagram Explanation - The figure displays two scenarios (a) and (b) showing vectors representing forces \( \mathbf{F_1} \) and \( \mathbf{F_2} \): - In diagram (a), \( \mathbf{F_1} \) is directed along the positive x-axis, and \( \mathbf{F_2} \) is along the negative y-axis. - In diagram (b), \( \mathbf{F_1} \) is at an angle of 120° from the positive x-axis, showing a different direction. ### Part A - **Task:** Calculate the magnitude of the net force on the object. - **Given:** - \( \mathbf{F_1} = 12.0 \, \text{N} \) - \( \mathbf{F_2} = 21.0 \, \text{N} \) - **Input Box:** Enter the computed net force in Newtons (N). ### Part B - **Task:** Determine the direction of the net force on the object from the positive x-axis. - **Input Box:** Enter the angle \( \theta \) in degrees from the positive x-axis. ### Part C - **Task:** Find the magnitude of the acceleration of the object. - **Result:** Enter the acceleration in meters per second squared (\( \text{m/s}^2 \)). Each part includes a "Submit" button to check your answers and functionality for requesting hints if needed.
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