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. If the mass of the toy is 11.09 kg, what is the coefficient of friction? Your Answer: Answer
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. If the mass of the toy is 11.09 kg, what is the coefficient of friction? Your Answer: Answer
College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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: 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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