### Physics Problem: Pulling a Wagon **Problem Statement:** I am pulling my kids in their wagon on the way to the park. The handle makes an angle of 40° above the horizontal, and I am pulling with a force of 85.0 N along the handle. My kids and the wagon have a combined mass of 28 kg. **Questions:** 1. **Draw a Free-Body Diagram:** - **Task:** Draw a free-body diagram, labeling all the forces acting on the wagon and any angles that may appear in your diagram. Include friction. There should be four forces in your diagram. 2. **Newton's Second Law in x- and y-directions:** - **Task:** Write out Newton's second law in the x- and y-directions (\(\sum F_x = m a_x\) and \(\sum F_y = m a_y\)). 3. **Normal Force Calculation:** - **Task:** What is the normal force exerted on the wagon from the ground? 4. **Magnitude of the Frictional Force:** - **Task:** What is the magnitude of the frictional force if the wagon is moving at a constant velocity? 5. **Coefficient of Kinetic Friction:** - **Task:** What is the coefficient of kinetic friction between the wagon and the ground? **Explanation of Diagrams:** - The free-body diagram you need to draw should include the following forces: - Force of gravity (\(F_g\), acting downward) - Normal force (\(F_N\), acting upward from the ground) - Force of pull (\(F_p\), acting at a 40° angle above the horizontal) - Frictional force (\(F_f\), acting opposite to the direction of motion) To solve the problem, use the components of these forces in Newton’s second law equations in the x- and y-directions. This will help in finding the normal force and the frictional forces, ultimately leading to the calculation of the coefficient of kinetic friction.
### Physics Problem: Pulling a Wagon **Problem Statement:** I am pulling my kids in their wagon on the way to the park. The handle makes an angle of 40° above the horizontal, and I am pulling with a force of 85.0 N along the handle. My kids and the wagon have a combined mass of 28 kg. **Questions:** 1. **Draw a Free-Body Diagram:** - **Task:** Draw a free-body diagram, labeling all the forces acting on the wagon and any angles that may appear in your diagram. Include friction. There should be four forces in your diagram. 2. **Newton's Second Law in x- and y-directions:** - **Task:** Write out Newton's second law in the x- and y-directions (\(\sum F_x = m a_x\) and \(\sum F_y = m a_y\)). 3. **Normal Force Calculation:** - **Task:** What is the normal force exerted on the wagon from the ground? 4. **Magnitude of the Frictional Force:** - **Task:** What is the magnitude of the frictional force if the wagon is moving at a constant velocity? 5. **Coefficient of Kinetic Friction:** - **Task:** What is the coefficient of kinetic friction between the wagon and the ground? **Explanation of Diagrams:** - The free-body diagram you need to draw should include the following forces: - Force of gravity (\(F_g\), acting downward) - Normal force (\(F_N\), acting upward from the ground) - Force of pull (\(F_p\), acting at a 40° angle above the horizontal) - Frictional force (\(F_f\), acting opposite to the direction of motion) To solve the problem, use the components of these forces in Newton’s second law equations in the x- and y-directions. This will help in finding the normal force and the frictional forces, ultimately leading to the calculation of the coefficient of kinetic friction.
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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Transcribed Image Text:### Physics Problem: Pulling a Wagon
**Problem Statement:**
I am pulling my kids in their wagon on the way to the park. The handle makes an angle of 40° above the horizontal, and I am pulling with a force of 85.0 N along the handle. My kids and the wagon have a combined mass of 28 kg.
**Questions:**
1. **Draw a Free-Body Diagram:**
- **Task:** Draw a free-body diagram, labeling all the forces acting on the wagon and any angles that may appear in your diagram. Include friction. There should be four forces in your diagram.
2. **Newton's Second Law in x- and y-directions:**
- **Task:** Write out Newton's second law in the x- and y-directions (\(\sum F_x = m a_x\) and \(\sum F_y = m a_y\)).
3. **Normal Force Calculation:**
- **Task:** What is the normal force exerted on the wagon from the ground?
4. **Magnitude of the Frictional Force:**
- **Task:** What is the magnitude of the frictional force if the wagon is moving at a constant velocity?
5. **Coefficient of Kinetic Friction:**
- **Task:** What is the coefficient of kinetic friction between the wagon and the ground?
**Explanation of Diagrams:**
- The free-body diagram you need to draw should include the following forces:
- Force of gravity (\(F_g\), acting downward)
- Normal force (\(F_N\), acting upward from the ground)
- Force of pull (\(F_p\), acting at a 40° angle above the horizontal)
- Frictional force (\(F_f\), acting opposite to the direction of motion)
To solve the problem, use the components of these forces in Newton’s second law equations in the x- and y-directions. This will help in finding the normal force and the frictional forces, ultimately leading to the calculation of the coefficient of kinetic friction.
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