## Educational Content: Analyzing Forces and Acceleration### Free Body DiagramYour Free Body Diagram for Part 2 should appear as follows:- **Instructions for Constructing the 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.- **Diagram Description:** - The diagram shows several vectors: - **\(N\)**: A vertical vector pointing upwards at 90°. - **\(mg\)**: A vertical vector pointing downwards at 270° (denoting the mass and gravitational force). - **\(F_L\)**: A horizontal vector pointing to the left at 180°, labeled with a force of 65.0 N. - **\(F_R\)**: A horizontal vector pointing to the right at 0°, labeled with a force of 96.0 N.### Problem ScenarioSuppose 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 & PrepareConsider the direction of the forces. The forces applied by the two children outside of the wagon are in opposition to one another. Consider how friction acts in relation to the direction of motion. Will its effect be additive or subtractive?### Questions(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:\[ a = \_\_\_\_ \, \text{m/s}^2 \]This exercise helps you understand the dynamics of forces in motion and calculate resulting accelerations under varying conditions.

Free Body Diagram:Given,The force exerted by the first child is The force exerted by the second…

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. Think & Prepare 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? (a) Calculate the acceleration. Enter to 3 significant figures a= m/s² (b) What would the acceleration be if friction were 31 N? Enter to 3 significant figures a= m/s²

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. Think & Prepare 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? (a) Calculate the acceleration. Enter to 3 significant figures a= m/s² (b) What would the acceleration be if friction were 31 N? Enter to 3 significant figures a= m/s²

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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