The rocket sled shown in the figure accelerates to the right at a rate of 58.8 m/s². Its passenger has a mass of 67.0 kg. Think & Prepare 1. The passenger pushes the back of the seat and the bottom of the seat. The resultant of the two forces is the net force of the passenger on the seat. Do they experience a reaction force from the seat? What force is responsible for his horizontal acceleration? 2. Draw a diagram showing the horizontal and vertical forces of the seat on the passenger. Draw the net force due to the seat on the passenger. 3. Draw the free body diagram of the passenger. Label all forces acting on the passenger. Which forces balance and which don't?

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The text discusses a physics problem involving a rocket sled accelerating to the right at a rate of 58.8 m/s². The passenger has a mass of 67.0 kg. 

### Think & Prepare

1. **Passenger Forces:**
   - The passenger pushes the back and bottom of the seat. The resultant of these two forces is the net force of the passenger on the seat.
   - Question: Does the passenger experience a reaction force from the seat?
   - Question: What force is responsible for his horizontal acceleration?

2. **Diagram Tasks:**
   - Draw a diagram showing the horizontal and vertical forces of the seat on the passenger.
   - Indicate the net force due to the seat on the passenger.

3. **Free Body Diagram:**
   - Label all forces acting on the passenger.
   - Determine which forces balance and which don’t.

### Calculation Tasks

(a) **Horizontal Force:**
   - Calculate the horizontal component of the force \( F_h \) the seat exerts against his body.
   - Formula: \( F_h = ma \)

(b) **Weight Comparison:**
   - Compare the horizontal force with the passenger's weight using a ratio.
   - Formula: \( \frac{F_h}{w} \)

(c) **Vertical Force:**
   - Calculate the vertical component of the force \( N \) the seat exerts against his body.

(d) **Total Force:**
   - Calculate the direction and magnitude of the total force the seat exerts against his body.
   - Provide the angle as measured above the horizontal. 

The required fields for calculations are placeholders for numerical answers needing three significant figures.
Transcribed Image Text:The text discusses a physics problem involving a rocket sled accelerating to the right at a rate of 58.8 m/s². The passenger has a mass of 67.0 kg. ### Think & Prepare 1. **Passenger Forces:** - The passenger pushes the back and bottom of the seat. The resultant of these two forces is the net force of the passenger on the seat. - Question: Does the passenger experience a reaction force from the seat? - Question: What force is responsible for his horizontal acceleration? 2. **Diagram Tasks:** - Draw a diagram showing the horizontal and vertical forces of the seat on the passenger. - Indicate the net force due to the seat on the passenger. 3. **Free Body Diagram:** - Label all forces acting on the passenger. - Determine which forces balance and which don’t. ### Calculation Tasks (a) **Horizontal Force:** - Calculate the horizontal component of the force \( F_h \) the seat exerts against his body. - Formula: \( F_h = ma \) (b) **Weight Comparison:** - Compare the horizontal force with the passenger's weight using a ratio. - Formula: \( \frac{F_h}{w} \) (c) **Vertical Force:** - Calculate the vertical component of the force \( N \) the seat exerts against his body. (d) **Total Force:** - Calculate the direction and magnitude of the total force the seat exerts against his body. - Provide the angle as measured above the horizontal. The required fields for calculations are placeholders for numerical answers needing three significant figures.
**Transcription for Educational Website:**

---

**Problem Overview:**

The rocket sled depicted in the illustration accelerates to the right at a rate of \(58.8 \, \text{m/s}^2\). The passenger has a mass of \(67.0 \, \text{kg}\).

**Think & Prepare**

1. The passenger pushes the back of the seat and the bottom of the seat. The resultant of the two forces is the net force of the passenger on the seat. Do they experience a reaction force from the seat? What force is responsible for his horizontal acceleration?

2. Draw a diagram showing the horizontal and vertical forces of the seat on the passenger. Draw the net force due to the seat on the passenger.

3. Draw the free body diagram of the passenger. Label all forces acting on the passenger. Which forces balance and which don't?

**Diagram Explanation:**

The image shows a side view of a rocket sled moving towards the right. There are two labeled forces acting on the passenger:

- \(N\): A vertical force pointing upwards, typically representing the normal force.
- \(W\): A vertical force pointing downwards, typically representing the gravitational force (weight) on the passenger.

The illustration helps visualize the scenario for analyzing forces and drawing diagrams.
Transcribed Image Text:**Transcription for Educational Website:** --- **Problem Overview:** The rocket sled depicted in the illustration accelerates to the right at a rate of \(58.8 \, \text{m/s}^2\). The passenger has a mass of \(67.0 \, \text{kg}\). **Think & Prepare** 1. The passenger pushes the back of the seat and the bottom of the seat. The resultant of the two forces is the net force of the passenger on the seat. Do they experience a reaction force from the seat? What force is responsible for his horizontal acceleration? 2. Draw a diagram showing the horizontal and vertical forces of the seat on the passenger. Draw the net force due to the seat on the passenger. 3. Draw the free body diagram of the passenger. Label all forces acting on the passenger. Which forces balance and which don't? **Diagram Explanation:** The image shows a side view of a rocket sled moving towards the right. There are two labeled forces acting on the passenger: - \(N\): A vertical force pointing upwards, typically representing the normal force. - \(W\): A vertical force pointing downwards, typically representing the gravitational force (weight) on the passenger. The illustration helps visualize the scenario for analyzing forces and drawing diagrams.
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