3. Amy holds a 4-kg book against a wall by pushing on 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. O U of lim top ** b) How much force does Amy have to exert in order to keep the book from falling? 20 od sloog Ober of 1964 ad conil C30007 be fomis aidi gurub normale 2000 ot 352) in 0:1) k 2 260 :( ) و بالاد Toints Inox sual of yeesoon ei noiorit to thaipiftooo intl SAY un 21 tot count to know and y abno 21 posto1935 Sp no moitit ovode hubsielboun yos Pain biuowboan wow boenoxo c) If Amy exerts only 90N of force, the book will start to slide and continue to accelerate downward. L 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 μ = 0.20, at what rate will the book accelerate? NO (A

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I need help with part C *** I have the parts to the question but part C is what I need help with
**Physics Problem Set: Static and Kinetic Friction**

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

[Explanation of Diagram: The diagram should depict four forces acting on the book:
- The gravitational force acting downward (\(mg\)).
- The normal force exerted by the wall acting horizontally opposite to Amy's push.
- The frictional force acting upward, preventing the book from sliding.
- The horizontal force exerted by Amy on the book.]

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

[Solution Explanation: To keep the book from falling, Amy must exert enough force to create a static frictional force equal to the gravitational force. Use the equation \(f_s = \mu_s \cdot N\), where \(N\) is the normal force, which in this case equals the force Amy exerts horizontally.]

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 \(\mu_k = 0.20\), at what rate will the book accelerate?**

[Solution Explanation: Calculate the net force acting on the book once it starts sliding using kinetic friction. Use \(f_k = \mu_k \cdot 90N\) to find the frictional force, and then apply Newton's second law \(F_{net} = ma\) to find the acceleration.]

**Bonus Problem +5**

A crate of mass \(m\) lies on a horizontal floor, with a static friction coefficient equal to \(\mu_s\). A force \(P\), directed at an angle \(\theta\) below the horizontal, pushes the crate.

a) **Find the minimum magnitude of \(P\) required to get the crate moving.**

b) **Show that there is a critical angle above which it is impossible to get the crate moving, no matter how hard you push!** 

[Diagram Description for Bonus Problem: Depict the forces acting on the
Transcribed Image Text:**Physics Problem Set: Static and Kinetic Friction** **Problem 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) **Draw a free body diagram for the book. Hint: there are 4 forces acting on it.** [Explanation of Diagram: The diagram should depict four forces acting on the book: - The gravitational force acting downward (\(mg\)). - The normal force exerted by the wall acting horizontally opposite to Amy's push. - The frictional force acting upward, preventing the book from sliding. - The horizontal force exerted by Amy on the book.] b) **How much force does Amy have to exert in order to keep the book from falling?** [Solution Explanation: To keep the book from falling, Amy must exert enough force to create a static frictional force equal to the gravitational force. Use the equation \(f_s = \mu_s \cdot N\), where \(N\) is the normal force, which in this case equals the force Amy exerts horizontally.] 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 \(\mu_k = 0.20\), at what rate will the book accelerate?** [Solution Explanation: Calculate the net force acting on the book once it starts sliding using kinetic friction. Use \(f_k = \mu_k \cdot 90N\) to find the frictional force, and then apply Newton's second law \(F_{net} = ma\) to find the acceleration.] **Bonus Problem +5** A crate of mass \(m\) lies on a horizontal floor, with a static friction coefficient equal to \(\mu_s\). A force \(P\), directed at an angle \(\theta\) below the horizontal, pushes the crate. a) **Find the minimum magnitude of \(P\) required to get the crate moving.** b) **Show that there is a critical angle above which it is impossible to get the crate moving, no matter how hard you push!** [Diagram Description for Bonus Problem: Depict the forces acting on the
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