8. A block of mass 2 kg is pushed by 30-N force on a rough horizontal surface. The coefficient of static friction is 0.45 and the co-efficient of kinetic friction is 0.30. a) What is the normal force acting on the block? b) Will the block move? Explain 19 the block moves, what is the acceleration of the block?

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Help me 7a and 8

### Physics Problems: Kinetic Friction and Forces

#### Problem 7a:
A horizontal force is applied to a 113-N crate on a rough, level surface. The coefficient of kinetic friction is 0.23. **What is the magnitude of the force of kinetic friction acting on the crate?**

- Use the formula for kinetic friction:
  \[
  f_k = \mu_k N
  \]
  where \( \mu_k = 0.23 \) and \( N = 113 \, \text{N} \).

#### Problem 7b:
If a horizontal force of 99.0 N is applied to a 56 kg crate on a rough, level surface causing an acceleration of 1.30 m/s², **what is the magnitude of the force of kinetic friction acting on the crate?**

- Given:
  - Mass \( m = 56 \, \text{kg} \)
  - Acceleration \( a = 1.30 \, \text{m/s}^2 \)
  - Applied force \( F = 99.0 \, \text{N} \)

- Start by calculating the net force:
  \[
  F_{\text{net}} = ma
  \]
  
- Find the force of kinetic friction using:
  \[
  f_k = F - F_{\text{net}}
  \]

### Diagrams:
1. **Diagram for Problem 7a:**
   - A box on a surface with arrows indicating the forces: a horizontal force applied to the right and frictional force opposing it to the left.

2. **Diagram for Problem 7b:**
   - A box on a surface illustrating the forces acting on it, with symbols for applied forces and resulting motion.

3. **Equations Box:**
   - Shows the application of the force equations in solving these problems, with symbols representing net force and frictional force.

These problems demonstrate how to apply concepts of kinetic friction and Newton's laws to find forces acting on an object moving across a surface.
Transcribed Image Text:### Physics Problems: Kinetic Friction and Forces #### Problem 7a: A horizontal force is applied to a 113-N crate on a rough, level surface. The coefficient of kinetic friction is 0.23. **What is the magnitude of the force of kinetic friction acting on the crate?** - Use the formula for kinetic friction: \[ f_k = \mu_k N \] where \( \mu_k = 0.23 \) and \( N = 113 \, \text{N} \). #### Problem 7b: If a horizontal force of 99.0 N is applied to a 56 kg crate on a rough, level surface causing an acceleration of 1.30 m/s², **what is the magnitude of the force of kinetic friction acting on the crate?** - Given: - Mass \( m = 56 \, \text{kg} \) - Acceleration \( a = 1.30 \, \text{m/s}^2 \) - Applied force \( F = 99.0 \, \text{N} \) - Start by calculating the net force: \[ F_{\text{net}} = ma \] - Find the force of kinetic friction using: \[ f_k = F - F_{\text{net}} \] ### Diagrams: 1. **Diagram for Problem 7a:** - A box on a surface with arrows indicating the forces: a horizontal force applied to the right and frictional force opposing it to the left. 2. **Diagram for Problem 7b:** - A box on a surface illustrating the forces acting on it, with symbols for applied forces and resulting motion. 3. **Equations Box:** - Shows the application of the force equations in solving these problems, with symbols representing net force and frictional force. These problems demonstrate how to apply concepts of kinetic friction and Newton's laws to find forces acting on an object moving across a surface.
**Module 1: Newton's Laws and Energy**

**Unit 2: Newton's 1st and 2nd laws and Inventory of Forces**

---

**Problem 8:**

A block of mass 2 kg is pushed by a 30-N force on a rough horizontal surface. The coefficient of static friction is 0.45 and the coefficient of kinetic friction is 0.30.

**Questions:**

a) What is the normal force acting on the block?

b) Will the block move? Explain.

c) If the block moves, what is the acceleration of the block?

**Diagram Explanation:**

The provided image includes a simple diagram. It shows a block resting against a vertical wall with an arrow pointing downwards, indicating the direction of the applied 30-N force. There is no further graphical representation of values or equations on the diagram.

--- 

This example illustrates the application of Newton's laws related to friction and movement on surfaces.
Transcribed Image Text:**Module 1: Newton's Laws and Energy** **Unit 2: Newton's 1st and 2nd laws and Inventory of Forces** --- **Problem 8:** A block of mass 2 kg is pushed by a 30-N force on a rough horizontal surface. The coefficient of static friction is 0.45 and the coefficient of kinetic friction is 0.30. **Questions:** a) What is the normal force acting on the block? b) Will the block move? Explain. c) If the block moves, what is the acceleration of the block? **Diagram Explanation:** The provided image includes a simple diagram. It shows a block resting against a vertical wall with an arrow pointing downwards, indicating the direction of the applied 30-N force. There is no further graphical representation of values or equations on the diagram. --- This example illustrates the application of Newton's laws related to friction and movement on surfaces.
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