(a) If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in m/s?) it can achieve on wet concrete where the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 0.7. 3.43 m/s? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate where the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.55? O No O Yes (c) If the truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s²)? 4.9 x m/s2 Will it slip? O Yes O No

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
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### Example Problem: Maximum Acceleration and Friction

#### Problem Statement:
Consider a flatbed truck and various conditions. Follow the scenarios below to determine the maximum accelerations and whether certain objects will slip based on the given coefficients of friction.

#### (a) Maximum Acceleration on Wet Concrete

**Question:** If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in \( m/s^2 \)) it can achieve on wet concrete where the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 0.7?

**Solution:**
- Input: 3.43 \( m/s^2 \)
- Answer: 3.43 \( m/s^2 \) ✔️

#### (b) Will a Metal Cabinet Slip?

**Question:** Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate where the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.55?

- Options:
  - No ✔️
  - Yes

#### (c) Maximum Acceleration with Four-Wheel Drive

**Question:** If the truck has four-wheel drive, and the cabinet is wooden, what is its maximum acceleration (in \( m/s^2 \))?

**Solution:**
- Input: 4.9 \( m/s^2 \)
- Answer: 4.9 \( m/s^2 \) ❌ 

**Follow-up Question:** Will it slip?
- Options:
  - Yes ✔️
  - No

### Explanation of Charts or Diagrams:
The image contains a sequence of three problems with textual descriptions, numerical inputs, and multiple-choice options. There are no graphs or diagrams present in the image.

The numerical inputs indicate the calculated or estimated values for accelerations, and the check marks (✔️) or crosses (❌) indicate correctness. Multiple-choice options provide a mechanism for evaluating whether a metal cabinet will slip under given conditions, with correct answers highlighted.
Transcribed Image Text:### Example Problem: Maximum Acceleration and Friction #### Problem Statement: Consider a flatbed truck and various conditions. Follow the scenarios below to determine the maximum accelerations and whether certain objects will slip based on the given coefficients of friction. #### (a) Maximum Acceleration on Wet Concrete **Question:** If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in \( m/s^2 \)) it can achieve on wet concrete where the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 0.7? **Solution:** - Input: 3.43 \( m/s^2 \) - Answer: 3.43 \( m/s^2 \) ✔️ #### (b) Will a Metal Cabinet Slip? **Question:** Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate where the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.55? - Options: - No ✔️ - Yes #### (c) Maximum Acceleration with Four-Wheel Drive **Question:** If the truck has four-wheel drive, and the cabinet is wooden, what is its maximum acceleration (in \( m/s^2 \))? **Solution:** - Input: 4.9 \( m/s^2 \) - Answer: 4.9 \( m/s^2 \) ❌ **Follow-up Question:** Will it slip? - Options: - Yes ✔️ - No ### Explanation of Charts or Diagrams: The image contains a sequence of three problems with textual descriptions, numerical inputs, and multiple-choice options. There are no graphs or diagrams present in the image. The numerical inputs indicate the calculated or estimated values for accelerations, and the check marks (✔️) or crosses (❌) indicate correctness. Multiple-choice options provide a mechanism for evaluating whether a metal cabinet will slip under given conditions, with correct answers highlighted.
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