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Part A You want to nail a 1.9 kg board to the wall of a barn, as shown below. To position the board before nailing, vou push it against the wall with a horizontal force F to keep it from sliding to the ground. The coefficient of static friction betwee the board and the wall is 0.64. The least force you can apply and still hold the board in place is (enter your answer with two significant figures) Fnet =ma tmax = HN W = mg 29 N Submit Previous Answers v Correct

Part A You want to nail a 1.9 kg board to the wall of a barn, as shown below. To position the board before nailing, vou push it against the wall with a horizontal force F to keep it from sliding to the ground. The coefficient of static friction betwee the board and the wall is 0.64. The least force you can apply and still hold the board in place is (enter your answer with two significant figures) Fnet =ma tmax = HN W = mg 29 N Submit Previous Answers v Correct

College Physics
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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**Part A** You want to nail a 1.9 kg board to the wall of a barn, as shown below. To position the board before nailing, you push it against the wall with a horizontal force \( F \) to keep it from sliding to the ground. The coefficient of static friction between the board and the wall is 0.64. The least force you can apply and still hold the board in place is (enter your answer with two significant figures): \[ F_{\text{net}} = ma \] \[ t_{s, \text{max}} = \mu_s N \] \[ W = mg \] **Answer:** 29 N **Diagram Explanation:** The diagram on the right side shows a person applying a horizontal force \( F \) on the board towards the wall. The forces acting on the board are illustrated with arrows: - \( W \): The weight of the board acting downward. - \( F \): The horizontal force applied horizontally towards the wall. - \( N \): The normal force exerted by the wall on the board acting perpendicular to the surface. - Arrows indicate the directions of these forces and the static friction resisting the slide. The system shows how the static friction and applied force maintain equilibrium to prevent the board from sliding down.
Transcribed Image Text:**Part A** You want to nail a 1.9 kg board to the wall of a barn, as shown below. To position the board before nailing, you push it against the wall with a horizontal force \( F \) to keep it from sliding to the ground. The coefficient of static friction between the board and the wall is 0.64. The least force you can apply and still hold the board in place is (enter your answer with two significant figures): \[ F_{\text{net}} = ma \] \[ t_{s, \text{max}} = \mu_s N \] \[ W = mg \] **Answer:** 29 N **Diagram Explanation:** The diagram on the right side shows a person applying a horizontal force \( F \) on the board towards the wall. The forces acting on the board are illustrated with arrows: - \( W \): The weight of the board acting downward. - \( F \): The horizontal force applied horizontally towards the wall. - \( N \): The normal force exerted by the wall on the board acting perpendicular to the surface. - Arrows indicate the directions of these forces and the static friction resisting the slide. The system shows how the static friction and applied force maintain equilibrium to prevent the board from sliding down.
**Part B** Two reasons we know that the force of static friction does not increase when you push harder than the force calculated in Part A are (choose the best answer): - ☐ if you push too hard the wall will break and the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1. - ☐ once fₛ reaches fₛ,max it cannot increase any further and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.). - ☐ once fₛ reaches fₛ,max it cannot increase any further and the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1. - ☑ the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1 and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.). - ☐ if you push too hard the wall will break and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.) - ☐ if you push too hard the wall will break and once fₛ reaches fₛ,max it cannot increase any further. **Submit** **Incorrect; Try Again: 3 attempts remaining**
Transcribed Image Text:**Part B** Two reasons we know that the force of static friction does not increase when you push harder than the force calculated in Part A are (choose the best answer): - ☐ if you push too hard the wall will break and the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1. - ☐ once fₛ reaches fₛ,max it cannot increase any further and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.). - ☐ once fₛ reaches fₛ,max it cannot increase any further and the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1. - ☑ the value of μₛ between the board and the wall increases as you push harder, but it cannot exceed 1 and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.). - ☐ if you push too hard the wall will break and the board would accelerate upwards if you could push hard enough to make fₛ exceed the weight of the board (We know this does not happen.) - ☐ if you push too hard the wall will break and once fₛ reaches fₛ,max it cannot increase any further. **Submit** **Incorrect; Try Again: 3 attempts remaining**
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