1. Your free body diagram for Part 2 should have looked like this: Construct the free-body diagram. 1. Place the tail of the vectors within the confines of the mass. 2. Orient the vectors by dragging the heads in the proper direction. Note: the angles may be within +15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass. N:90° 1444 FL: 180; 179.87 mg; 270 FR: 0.04⁰ Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force F₁ of 65.0 N, the second a force FR of 96.0 N, friction f is 13.0 N, and the mass of the third child plus wagon is 26.0 kg.
1. Your free body diagram for Part 2 should have looked like this: Construct the free-body diagram. 1. Place the tail of the vectors within the confines of the mass. 2. Orient the vectors by dragging the heads in the proper direction. Note: the angles may be within +15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass. N:90° 1444 FL: 180; 179.87 mg; 270 FR: 0.04⁰ Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force F₁ of 65.0 N, the second a force FR of 96.0 N, friction f is 13.0 N, and the mass of the third child plus wagon is 26.0 kg.
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Chapter3: Vectors
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Problem 3.4OQ: The culling tool on a lathe is given two displacements, one of magnitude 4 cm and one of magnitude 3...
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![### Physics Problem on Acceleration
**(a) Calculate the acceleration.**
_Enter to 3 significant figures_
\[ a = \_\_\_\_ \, \text{m/s}^2 \]
**(b) What would the acceleration be if friction were 31 N?**
_Enter to 3 significant figures_
\[ a = \_\_\_\_ \, \text{m/s}^2 \]
### Notes:
- Ensure accuracy by maintaining three significant figures in your calculations.
- Apply Newton's second law and consider any forces acting on the object, such as friction when answering part (b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85a13651-0641-4e1f-9366-64e873b85445%2F03c7e8ad-d790-4d44-be9d-0ae0d557a054%2Fc24psj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problem on Acceleration
**(a) Calculate the acceleration.**
_Enter to 3 significant figures_
\[ a = \_\_\_\_ \, \text{m/s}^2 \]
**(b) What would the acceleration be if friction were 31 N?**
_Enter to 3 significant figures_
\[ a = \_\_\_\_ \, \text{m/s}^2 \]
### Notes:
- Ensure accuracy by maintaining three significant figures in your calculations.
- Apply Newton's second law and consider any forces acting on the object, such as friction when answering part (b).
Transcribed Image Text:## Educational Content: Free Body Diagram and Forces
### Free Body Diagram Explanation
1. **Diagram Instructions:**
- Construct the free-body diagram.
1. Place the tail of the vectors within the confines of the mass.
2. Orient the vectors by dragging the heads in the proper direction.
- Note: The angles may be within ±15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass.
2. **Diagram Details:**
- The diagram is a vector representation centered around a box, symbolizing the mass.
- Key Forces:
- **N** (Normal Force): Points upwards at 90°.
- **\(F_L\)** (Force to the Left): Arrows point left with an angle of 179.87° from the right.
- **\(F_R\)** (Force to the Right): Arrows point right at a slight angle of 0.04°.
- **\(mg\)** (Gravitational Force): Points directly downward at 270°.
- **f** (Friction): Not depicted separately but should be considered in force calculations.
### Problem Context and Analysis
Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force \(F_L\) of 65.0 N, the second a force \(F_R\) of 96.0 N. Friction \(f\) is 13.0 N, and the mass of the third child plus the wagon is 26.0 kg.
#### Think & Prepare
1. **Direction of Forces:**
- The forces applied by the two children are in opposition.
- Consider how friction acts in the context of the motion.
2. **Net Force Analysis:**
- Determine if friction acts to add to or subtract from the total net force.
- Analyze the resultant motion based on force interactions.
This explanation will help you understand the balance of forces and how vector components influence physical systems.
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