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 115, the magnitudes are not considered, and the vectors do not need to be centered on the mass (a) Calculate the acceleration. Enter to 3 significant figures N:90 m/s² F: 180 179.87 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 61.0 N, the second a force FA of 90.0 N, friction f is 12.0 N and the mass of the third child plus wagon is 24.0 kg. Assume that all quantities are correct to 3 significant figures. mg: 270 Think & Prepare 1. Consider the direction of the forces. The forces applied by the two children outside of the wagon are stated to be in opposition to one another. What about friction? With respect to the direction of motion, how does it act? Will its effect be additive or subtractive? ✔m/s² Foor (b) What would the acceleration be if friction were 29 N? Enter to 3 significant figures
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 115, the magnitudes are not considered, and the vectors do not need to be centered on the mass (a) Calculate the acceleration. Enter to 3 significant figures N:90 m/s² F: 180 179.87 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 61.0 N, the second a force FA of 90.0 N, friction f is 12.0 N and the mass of the third child plus wagon is 24.0 kg. Assume that all quantities are correct to 3 significant figures. mg: 270 Think & Prepare 1. Consider the direction of the forces. The forces applied by the two children outside of the wagon are stated to be in opposition to one another. What about friction? With respect to the direction of motion, how does it act? Will its effect be additive or subtractive? ✔m/s² Foor (b) What would the acceleration be if friction were 29 N? Enter to 3 significant figures
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter4: Forces In One Dimension
Section: Chapter Questions
Problem 90A
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![1. Your free body diagram for Part 2 should have looked like this:
![Free Body Diagram]
- **Diagram Explanation:**
- The diagram is a free-body representation of a system with vectors indicating forces acting on a mass. The vectors are as follows:
- \( N: 90^\circ \) (Normal force perpendicular to the surface)
- \( F_L: 180^\circ, 179.57 \) (Force exerted by the first child to the left)
- \( F_R: 0.00^\circ \) (Force exerted by the second child to the right)
- \( mg: 270^\circ \) (Gravitational force acting downward)
- **Instructions:**
1. Construct the free-body diagram.
2. Place the tail of the vectors within the confines of the mass.
3. Orient the vectors by dragging the heads in the proper direction.
4. Note: the angles may be within ±15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass.
---
**Problem Description:**
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 61.0 N, the second a force \( F_R \) of 90.0 N, friction \( f \) is 12.0 N, and the mass of the third child plus wagon is 24.0 kg.
Assume that all quantities are correct to 3 significant figures.
**Think & Prepare:**
1. Consider the direction of the forces. The forces applied by the two children outside of the wagon are stated to be in opposition to one another. What about friction? With respect to the direction of motion, how does it act? Will its effect be additive or subtractive?
**Tasks:**
(a) Calculate the acceleration.
- *Enter to 3 significant figures*
\( a = \text{______} \, \text{m/s}^2 \)
(b) What would the acceleration be if friction were 29 N?
- *Enter to 3 significant figures*
\( a = \text{______} \, \text{m/s}^2 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8512e4d2-f559-44cb-9fee-36fee0c29e9a%2Fbd37586d-1d79-4903-b2c3-d7ea14311d76%2Fnssc8kl_processed.png&w=3840&q=75)
Transcribed Image Text:1. Your free body diagram for Part 2 should have looked like this:
![Free Body Diagram]
- **Diagram Explanation:**
- The diagram is a free-body representation of a system with vectors indicating forces acting on a mass. The vectors are as follows:
- \( N: 90^\circ \) (Normal force perpendicular to the surface)
- \( F_L: 180^\circ, 179.57 \) (Force exerted by the first child to the left)
- \( F_R: 0.00^\circ \) (Force exerted by the second child to the right)
- \( mg: 270^\circ \) (Gravitational force acting downward)
- **Instructions:**
1. Construct the free-body diagram.
2. Place the tail of the vectors within the confines of the mass.
3. Orient the vectors by dragging the heads in the proper direction.
4. Note: the angles may be within ±15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass.
---
**Problem Description:**
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 61.0 N, the second a force \( F_R \) of 90.0 N, friction \( f \) is 12.0 N, and the mass of the third child plus wagon is 24.0 kg.
Assume that all quantities are correct to 3 significant figures.
**Think & Prepare:**
1. Consider the direction of the forces. The forces applied by the two children outside of the wagon are stated to be in opposition to one another. What about friction? With respect to the direction of motion, how does it act? Will its effect be additive or subtractive?
**Tasks:**
(a) Calculate the acceleration.
- *Enter to 3 significant figures*
\( a = \text{______} \, \text{m/s}^2 \)
(b) What would the acceleration be if friction were 29 N?
- *Enter to 3 significant figures*
\( a = \text{______} \, \text{m/s}^2 \)
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