A 292-kg motorcycle is accelerating up and to the right along a ramp that is inclined 30.0 degrees above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3150 N, and air resistance produces a force of 250 N that opposes the motion. (a) Draw the free-body diagram showing the forces that act on the motorcycle. (b) Find the magnitude of the motorcycle's acceleration.

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Description
A 292-kg motorcycle is accelerating up and to the right along a ramp that is inclined 30.0 degrees above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3150 N, and air resistance produces a force of 250 N that opposes the motion. 

(a) Draw the free-body diagram showing the forces that act on the motorcycle.  
(b) Find the magnitude of the motorcycle's acceleration.

### Step 1: Free-Body Diagram
**Instructions:**
Draw the free-body diagram showing the forces that act on the motorcycle.

1. **Use the checkboxes** to select the correct vectors as instructed above.
2. Move the vectors to the correct starting points and orient them in the correct direction as instructed.

**Available Force Vectors:**
- mg: Gravitational force
- \( F_P \): Propulsion force
- \( F_N \): Normal force
- T: Tension
- \( F_A \): Air resistance force

**Diagram Template:**
```
+ y
    |
    |
    |
    |
    +--------------------- + x
```
**Key to Force Labels:**
- \( mg \): Gravitational force
- \( F_P \): Propulsion force
- \( F_N \): Normal force
- T: Tension
- \( F_A \): Air resistance force
Transcribed Image Text:### Problem Description A 292-kg motorcycle is accelerating up and to the right along a ramp that is inclined 30.0 degrees above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3150 N, and air resistance produces a force of 250 N that opposes the motion. (a) Draw the free-body diagram showing the forces that act on the motorcycle. (b) Find the magnitude of the motorcycle's acceleration. ### Step 1: Free-Body Diagram **Instructions:** Draw the free-body diagram showing the forces that act on the motorcycle. 1. **Use the checkboxes** to select the correct vectors as instructed above. 2. Move the vectors to the correct starting points and orient them in the correct direction as instructed. **Available Force Vectors:** - mg: Gravitational force - \( F_P \): Propulsion force - \( F_N \): Normal force - T: Tension - \( F_A \): Air resistance force **Diagram Template:** ``` + y | | | | +--------------------- + x ``` **Key to Force Labels:** - \( mg \): Gravitational force - \( F_P \): Propulsion force - \( F_N \): Normal force - T: Tension - \( F_A \): Air resistance force
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