### Scenario:A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3.#### Problem Statements:(a) Calculate the minimum force \( F \) (in N) that must be exerted to get the crate moving.(b) What is the acceleration (in \( m/s^2 \)) of the crate once it starts to move, if that force \( (F) \) is maintained?### Explanation:- **Crate Details:** - Mass: 40 kg - Angle of applied force: 20° above the horizontal - **Friction Coefficients:** - Static friction: 0.5 - Kinetic friction: 0.3### Tasks:1. **Calculate the Minimum Force \( F \):** - Use the friction equation and force components to determine the initial force required to overcome static friction and initiate movement.2. **Determine Acceleration:** - Once the crate is moving, use the maintained force to calculate the acceleration using kinetic friction.### Concepts Involved:- Static and kinetic friction- Newton's laws of motion- Vector decomposition of forcesThese tasks require understanding of basic physics laws related to friction and force vectors.

Mass of the wooden crate is M = 40 kg Coefficient of kinetic friction is uk = 0.3 Coefficient of…

A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3. (a)Calculāte the minimum force F (in N) that must be exerted to get the crate moving. (b)What is the acceleration (in m/s2) of the crate once it starts to move, if that force (F) is maintained?

A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3. (a)Calculāte the minimum force F (in N) that must be exerted to get the crate moving. (b)What is the acceleration (in m/s2) of the crate once it starts to move, if that force (F) is maintained?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

### Scenario:
A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3.

#### Problem Statements:
(a) Calculate the minimum force \( F \) (in N) that must be exerted to get the crate moving.

(b) What is the acceleration (in \( m/s^2 \)) of the crate once it starts to move, if that force \( (F) \) is maintained?

### Explanation:

- **Crate Details:**
- Mass: 40 kg
- Angle of applied force: 20° above the horizontal

- **Friction Coefficients:**
- Static friction: 0.5
- Kinetic friction: 0.3

### Tasks:

1. **Calculate the Minimum Force \( F \):**
- Use the friction equation and force components to determine the initial force required to overcome static friction and initiate movement.

2. **Determine Acceleration:**
- Once the crate is moving, use the maintained force to calculate the acceleration using kinetic friction.

### Concepts Involved:

- Static and kinetic friction
- Newton's laws of motion
- Vector decomposition of forces

These tasks require understanding of basic physics laws related to friction and force vectors.

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