3. Amy holds a 4-kg book against a wall by pushing on it exactly horizontally. The coefficient of static friction between the wall and the book is μ = 0.28. a) Draw a free body diagram for the book. Hint: there are 4 forces acting on it. b) How much force does Amy have to exert in order to keep the book from falling? c) If Amy exerts only 90N of force, the book will start to slide and continue to accelerate downward. If she manages to continue applying the 90N constantly all the way down, and the coefficient of kinetic friction between the book and the wall is k 0.20, at what rate will the book accelerate? =

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**Physics Problem: Friction and Forces**

3. Amy holds a 4-kg book against a wall by pushing on it exactly horizontally. The coefficient of static friction between the wall and the book is \( \mu_s = 0.28 \).

a) **Task**: Draw a free body diagram for the book. *Hint: there are 4 forces acting on it.*

- **Diagram Explanation**: 
  - The forces typically involved would include:
    - The gravitational force acting downwards (Weight = mass \(\times\) gravity).
    - The normal force exerted by the wall, perpendicular to the surface.
    - The horizontal force applied by Amy.
    - The frictional force opposing the book's tendency to slide downwards.

b) **Question**: How much force does Amy have to exert in order to keep the book from falling?

c) **Scenario**: If Amy exerts only 90 N of force, the book will start to slide and continue to accelerate downward. If she manages to continue applying the 90 N constantly all the way down, and the coefficient of kinetic friction between the book and the wall is \( \mu_k = 0.20 \), at what rate will the book accelerate?
Transcribed Image Text:**Physics Problem: Friction and Forces** 3. Amy holds a 4-kg book against a wall by pushing on it exactly horizontally. The coefficient of static friction between the wall and the book is \( \mu_s = 0.28 \). a) **Task**: Draw a free body diagram for the book. *Hint: there are 4 forces acting on it.* - **Diagram Explanation**: - The forces typically involved would include: - The gravitational force acting downwards (Weight = mass \(\times\) gravity). - The normal force exerted by the wall, perpendicular to the surface. - The horizontal force applied by Amy. - The frictional force opposing the book's tendency to slide downwards. b) **Question**: How much force does Amy have to exert in order to keep the book from falling? c) **Scenario**: If Amy exerts only 90 N of force, the book will start to slide and continue to accelerate downward. If she manages to continue applying the 90 N constantly all the way down, and the coefficient of kinetic friction between the book and the wall is \( \mu_k = 0.20 \), at what rate will the book accelerate?
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