### 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). ## Educational Content: Free Body Diagram and Forces### Free Body Diagram Explanation1. **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 AnalysisSuppose 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 & Prepare1. **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.

Answered: Image /qna-images/answer/03c7e8ad-d790-4d44-be9d-0ae0d557a054.jpg

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 64PQ

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