College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Physics Problem: Coefficient of Friction Calculation**

*Problem Statement:*
You are dragging a toy tractor across a horizontal floor, using a horizontal force. You observe that the toy is moving at a constant speed if you pull with a force of 81 N.

*Question:*
If the mass of the toy is 11.09 kg, what is the coefficient of friction?

*Your Answer:*

__(Input Box)__

**Explanation:**

To solve this problem, follow these steps:

1. **Understand the Given Data:**
   - Force applied (F) = 81 N
   - Mass of the toy (m) = 11.09 kg
   - Acceleration due to gravity (g) = 9.81 m/s² (standard value)

2. **Calculate the Normal Force (N):**
   - Since the toy is on a horizontal surface, the normal force (N) is equal to the weight of the toy.
   - N = m * g
   - N = 11.09 kg * 9.81 m/s²
   - N ≈ 108.72 N

3. **Relate the Applied Force to the Frictional Force:**
   - The toy moves at a constant speed, meaning the applied force is equal to the frictional force.
   - F_applied = Frictional Force

4. **Use the Formula for Friction:**
   - Frictional Force = μ * N, where μ is the coefficient of friction.
   - F = μ * N
   - 81 N = μ * 108.72 N

5. **Solve for the Coefficient of Friction (μ):**
   - μ = F / N
   - μ = 81 N / 108.72 N
   - μ ≈ 0.745

*Answer:*

__(Input Box)__

The coefficient of friction (μ) is approximately 0.745.

By following these steps, you can determine the coefficient of friction for an object being dragged across a horizontal surface when given the mass and force applied.
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Transcribed Image Text:**Physics Problem: Coefficient of Friction Calculation** *Problem Statement:* You are dragging a toy tractor across a horizontal floor, using a horizontal force. You observe that the toy is moving at a constant speed if you pull with a force of 81 N. *Question:* If the mass of the toy is 11.09 kg, what is the coefficient of friction? *Your Answer:* __(Input Box)__ **Explanation:** To solve this problem, follow these steps: 1. **Understand the Given Data:** - Force applied (F) = 81 N - Mass of the toy (m) = 11.09 kg - Acceleration due to gravity (g) = 9.81 m/s² (standard value) 2. **Calculate the Normal Force (N):** - Since the toy is on a horizontal surface, the normal force (N) is equal to the weight of the toy. - N = m * g - N = 11.09 kg * 9.81 m/s² - N ≈ 108.72 N 3. **Relate the Applied Force to the Frictional Force:** - The toy moves at a constant speed, meaning the applied force is equal to the frictional force. - F_applied = Frictional Force 4. **Use the Formula for Friction:** - Frictional Force = μ * N, where μ is the coefficient of friction. - F = μ * N - 81 N = μ * 108.72 N 5. **Solve for the Coefficient of Friction (μ):** - μ = F / N - μ = 81 N / 108.72 N - μ ≈ 0.745 *Answer:* __(Input Box)__ The coefficient of friction (μ) is approximately 0.745. By following these steps, you can determine the coefficient of friction for an object being dragged across a horizontal surface when given the mass and force applied.
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