1. What happens to a stationary object if it is exposed to a balanced force (Fnet = 0)? 2. What happens to a moving object if it is exposed to a balanced force (Fnet = 0)? 3. What happens to a stationary object if it is exposed to an unbalanced force (Fnet #0)?

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**PLEASE SHOW ALL WORK.**

1. What happens to a stationary object if it is exposed to a balanced force (\(F_{\text{net}} = 0\))?

2. What happens to a moving object if it is exposed to a balanced force (\(F_{\text{net}} = 0\))?

3. What happens to a stationary object if it is exposed to an unbalanced force (\(F_{\text{net}} \neq 0\))?

4. What happens to a moving object if it is exposed to an unbalanced force (\(F_{\text{net}} \neq 0\))?

*Determine the net force and the resulting acceleration on the object, if any. Don’t forget negatives if needed. The pictures below are generic and are not drawn to any scale.*

**Diagram 1:**
- A 5 kg box with a force of 35 N to the left and 70 N to the right.

5. Draw a diagram showing the net force.

6. \(F_{\text{net}} =\)

7. \(a =\)

**Diagram 2:**
- A 15 kg box with forces: 35 N and 25 N to the left; 15 N and 10 N to the right.

8. Draw a diagram showing the net force.

9. \(F_{\text{net}} =\)

10. \(a =\)
Transcribed Image Text:**PLEASE SHOW ALL WORK.** 1. What happens to a stationary object if it is exposed to a balanced force (\(F_{\text{net}} = 0\))? 2. What happens to a moving object if it is exposed to a balanced force (\(F_{\text{net}} = 0\))? 3. What happens to a stationary object if it is exposed to an unbalanced force (\(F_{\text{net}} \neq 0\))? 4. What happens to a moving object if it is exposed to an unbalanced force (\(F_{\text{net}} \neq 0\))? *Determine the net force and the resulting acceleration on the object, if any. Don’t forget negatives if needed. The pictures below are generic and are not drawn to any scale.* **Diagram 1:** - A 5 kg box with a force of 35 N to the left and 70 N to the right. 5. Draw a diagram showing the net force. 6. \(F_{\text{net}} =\) 7. \(a =\) **Diagram 2:** - A 15 kg box with forces: 35 N and 25 N to the left; 15 N and 10 N to the right. 8. Draw a diagram showing the net force. 9. \(F_{\text{net}} =\) 10. \(a =\)
### Understanding Net Force and Acceleration

#### Diagram Explanation

The diagram shows a block with a mass of 50 kg. Multiple forces are acting on it from different directions:

- Forces to the left:
  - 100 N
  - 105 N
  - 140 N

- Forces to the right:
  - 200 N
  - 145 N

#### Questions to Explore:

11. **Draw a diagram showing the net force.**

12. **Calculate the net force (F<sub>net</sub>):**
   - To find the net force, sum the forces in each direction and subtract one from the other.

13. **Calculate the acceleration (a):**
   - Use Newton's second law: \( F_{\text{net}} = ma \).

#### Problem Solving Using \( F_{\text{net}} = ma \):

14. **Net force for a 60 kg skier:**
   - What net force is needed for a 60 kg skier to accelerate at 1.8 m/s²?

15. **Acceleration of a 25 kg object:**
   - A net force of 200 N is applied. Calculate the acceleration.

16. **Determine the mass:**
   - Find the mass of an object that accelerates at 5 m/s² with a net force of 340 N.

17. **Mass of two objects with the same net force:**
   - Two objects experience a net force of 30 N. One accelerates at 3 m/s², the other at 5 m/s². What are their masses?

### Method:
- Ensure calculations are clear by showing each step.
- Interpret each result within the context of the problem.

This exploration helps in understanding how different forces result in acceleration and how various factors are interrelated through Newton's laws of motion.
Transcribed Image Text:### Understanding Net Force and Acceleration #### Diagram Explanation The diagram shows a block with a mass of 50 kg. Multiple forces are acting on it from different directions: - Forces to the left: - 100 N - 105 N - 140 N - Forces to the right: - 200 N - 145 N #### Questions to Explore: 11. **Draw a diagram showing the net force.** 12. **Calculate the net force (F<sub>net</sub>):** - To find the net force, sum the forces in each direction and subtract one from the other. 13. **Calculate the acceleration (a):** - Use Newton's second law: \( F_{\text{net}} = ma \). #### Problem Solving Using \( F_{\text{net}} = ma \): 14. **Net force for a 60 kg skier:** - What net force is needed for a 60 kg skier to accelerate at 1.8 m/s²? 15. **Acceleration of a 25 kg object:** - A net force of 200 N is applied. Calculate the acceleration. 16. **Determine the mass:** - Find the mass of an object that accelerates at 5 m/s² with a net force of 340 N. 17. **Mass of two objects with the same net force:** - Two objects experience a net force of 30 N. One accelerates at 3 m/s², the other at 5 m/s². What are their masses? ### Method: - Ensure calculations are clear by showing each step. - Interpret each result within the context of the problem. This exploration helps in understanding how different forces result in acceleration and how various factors are interrelated through Newton's laws of motion.
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