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College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Physics Problems: Friction and Force 

**1. Piano Movement on Flat Ground**
- **Object**: 80 kg piano
- **Coefficients of friction**: Kinetic (μ_k) = 0.2, Static (μ_s) = 0.4

   a. **Weight of Piano**: 
      - Answer: 784 N

   b. **Force to Start Movement**: 
      - Answer: 312 N

   c. **Force for Constant Velocity**: 
      - Answer: 156.8 N

   d. **Force for Acceleration (5 m/s²)**: 
      - Answer: 278.8 N

**2. Box on Concrete Ground**
- **Object**: 120 kg box
- **Force applied**: 800 N
- **Coefficients of friction**: Kinetic (μ_k) = 0.8, Static (μ_s) = 0.5

   - **Question**: Can the workers move the box?
     - Answer: No, they need a force of 940.8 N to begin moving the box.

**3. Object on Inclined Plane**
- **Mass**: 65 kg
- **Incline angle**: 25°
- **Force applied**: 35 N
- **Acceleration**: 2.5 m/s²

   - **Question**: What is the kinetic friction (μ_k) between the object and the plane?
     - Answer: μ_k = 0.31

**4. Person Sliding Down Hill**
- **Mass**: 76 kg
- **Incline angle**: 50°
- **Coefficient of friction**: μ_k = 0.1

   - **Question**: Speed after 2 seconds?
     - Answer: 72.6 m/s²

**5. Truck on Hill**
- **Weight of truck**: 700,000 N
- **Incline angle**: 50°

   - **Task**: Calculate the perpendicular force component.
     - Answer: 449,645.1 N

**Diagram Explanation (Problem 4)**
- **Inclined Plane Diagram**: A triangle representing the slope, with forces depicted:
  - mgsinθ (down the slope)
  - mgcosθ (perpendicular to the slope)
  - Friction (opposing the
Transcribed Image Text:### Physics Problems: Friction and Force **1. Piano Movement on Flat Ground** - **Object**: 80 kg piano - **Coefficients of friction**: Kinetic (μ_k) = 0.2, Static (μ_s) = 0.4 a. **Weight of Piano**: - Answer: 784 N b. **Force to Start Movement**: - Answer: 312 N c. **Force for Constant Velocity**: - Answer: 156.8 N d. **Force for Acceleration (5 m/s²)**: - Answer: 278.8 N **2. Box on Concrete Ground** - **Object**: 120 kg box - **Force applied**: 800 N - **Coefficients of friction**: Kinetic (μ_k) = 0.8, Static (μ_s) = 0.5 - **Question**: Can the workers move the box? - Answer: No, they need a force of 940.8 N to begin moving the box. **3. Object on Inclined Plane** - **Mass**: 65 kg - **Incline angle**: 25° - **Force applied**: 35 N - **Acceleration**: 2.5 m/s² - **Question**: What is the kinetic friction (μ_k) between the object and the plane? - Answer: μ_k = 0.31 **4. Person Sliding Down Hill** - **Mass**: 76 kg - **Incline angle**: 50° - **Coefficient of friction**: μ_k = 0.1 - **Question**: Speed after 2 seconds? - Answer: 72.6 m/s² **5. Truck on Hill** - **Weight of truck**: 700,000 N - **Incline angle**: 50° - **Task**: Calculate the perpendicular force component. - Answer: 449,645.1 N **Diagram Explanation (Problem 4)** - **Inclined Plane Diagram**: A triangle representing the slope, with forces depicted: - mgsinθ (down the slope) - mgcosθ (perpendicular to the slope) - Friction (opposing the
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