If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in m/s²) 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? 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? No O Yes If the truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s?)?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Just part C, please.

### Physics Problem Set Solutions

#### Problem (a)
**Question:** 
If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in \(\text{m/s}^2\)) 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:** 
\[ \text{Maximum acceleration} = 3.43 \,\text{m/s}^2 \]

---

#### Problem (b)
**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?

**Solution:**
- \(\text{No}\) ✔️

---

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

**Solution:** 
\[ \text{Maximum acceleration} = \_\_\_\_\_ \,\text{m/s}^2 \]

**Will it slip?**
- \(\text{Yes}\) ✔️

---

### Explanation of Calculations and Friction Concepts:

#### Frictional Forces:
1. **Kinetic Friction:** When two objects are moving relative to each other, kinetic friction acts against the movement.
2. **Static Friction:** The force that must be overcome to start moving an object from rest.

#### Graphs/Diagrams:
This image does not contain any graphs or diagrams but rather focuses on textual and mathematical solutions to given problems involving friction and motion.

### Additional Notes:
- The coefficients of friction provided (\( \mu_k \) for kinetic and \( \mu_s \) for static) are crucial for solving the given problems.
- Ensure proper understanding of the relationship between friction, acceleration, and surface interaction when solving similar physics problems.
Transcribed Image Text:### Physics Problem Set Solutions #### Problem (a) **Question:** If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in \(\text{m/s}^2\)) 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:** \[ \text{Maximum acceleration} = 3.43 \,\text{m/s}^2 \] --- #### Problem (b) **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? **Solution:** - \(\text{No}\) ✔️ --- #### Problem (c) **Question:** If the truck has four-wheel drive, and the cabinet is wooden, what is its maximum acceleration (in \(\text{m/s}^2\))? **Solution:** \[ \text{Maximum acceleration} = \_\_\_\_\_ \,\text{m/s}^2 \] **Will it slip?** - \(\text{Yes}\) ✔️ --- ### Explanation of Calculations and Friction Concepts: #### Frictional Forces: 1. **Kinetic Friction:** When two objects are moving relative to each other, kinetic friction acts against the movement. 2. **Static Friction:** The force that must be overcome to start moving an object from rest. #### Graphs/Diagrams: This image does not contain any graphs or diagrams but rather focuses on textual and mathematical solutions to given problems involving friction and motion. ### Additional Notes: - The coefficients of friction provided (\( \mu_k \) for kinetic and \( \mu_s \) for static) are crucial for solving the given problems. - Ensure proper understanding of the relationship between friction, acceleration, and surface interaction when solving similar physics problems.
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