cient of friction between the box and the surface. force opposing the motion. 3. The same box is then pulled over an especially rough surface and comes to a stop. The pulling force is still applied and the box does not move. a. Draw a free-body diagram of the box, and identify the force opposing the motion. b. The applied pulling force is increased to 70.0 N. The box remains stationary. Determine the coefficient of friction between the box and the floor. c. The applied pulling force is steadily increased. Just before the box moves forward, the force is recorded to be 144.0 N. Determine the maximum coefficient of friction between the box and the surface. 4. The same box is being pulled hy a fon n
cient of friction between the box and the surface. force opposing the motion. 3. The same box is then pulled over an especially rough surface and comes to a stop. The pulling force is still applied and the box does not move. a. Draw a free-body diagram of the box, and identify the force opposing the motion. b. The applied pulling force is increased to 70.0 N. The box remains stationary. Determine the coefficient of friction between the box and the floor. c. The applied pulling force is steadily increased. Just before the box moves forward, the force is recorded to be 144.0 N. Determine the maximum coefficient of friction between the box and the surface. 4. The same box is being pulled hy a fon n
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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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How to solve number 3?
![**Prelab Questions**
**Student Name:** [Name Redacted]
**Date:** 10/14/22
1. **Question 1:**
A block is subjected to two forces:
- A force \( F \) of 50 N acting horizontally.
- The acceleration \( a \) of the block is \( 3.00 \, \text{m/s}^2 \).
Using the formula:
\[
F = ma
\]
Calculate the mass \( m \).
\[
50 = m(3)
\]
\[
\frac{50}{3} = m
\]
\[
m = 16.7 \, \text{kg}
\]
2. **Question 2:**
The same block now experiences a force of friction.
- **Forces on the block:**
- Force \( F = 50 \, \text{N} \).
- Normal force \( F_N \).
The force opposing motion is friction.
Using the formula for friction:
\[
f = \mu F_N
\]
Given:
\[
a = 0 \, \text{m/s}^2 \, \text{(so net force = 0)}
\]
Calculate the normal force and coefficient of friction \( \mu \).
\[
F_N = 16.7 \times 9.81
\]
Substitute in the friction formula:
\[
50 = \mu \times 164
\]
\[
\mu = \frac{50}{164}
\]
\[
\mu = 0.305
\]
3. **Question 3:**
[Content Not Provided]
**Note:** The steps and calculations show how to determine the mass and coefficient of friction of a block using basic dynamics and friction principles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F863da103-24dc-44b6-9872-1c1c325096dc%2Fc814f517-6c8d-48c5-a1e7-e74a95703c68%2Fbnadgdk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Prelab Questions**
**Student Name:** [Name Redacted]
**Date:** 10/14/22
1. **Question 1:**
A block is subjected to two forces:
- A force \( F \) of 50 N acting horizontally.
- The acceleration \( a \) of the block is \( 3.00 \, \text{m/s}^2 \).
Using the formula:
\[
F = ma
\]
Calculate the mass \( m \).
\[
50 = m(3)
\]
\[
\frac{50}{3} = m
\]
\[
m = 16.7 \, \text{kg}
\]
2. **Question 2:**
The same block now experiences a force of friction.
- **Forces on the block:**
- Force \( F = 50 \, \text{N} \).
- Normal force \( F_N \).
The force opposing motion is friction.
Using the formula for friction:
\[
f = \mu F_N
\]
Given:
\[
a = 0 \, \text{m/s}^2 \, \text{(so net force = 0)}
\]
Calculate the normal force and coefficient of friction \( \mu \).
\[
F_N = 16.7 \times 9.81
\]
Substitute in the friction formula:
\[
50 = \mu \times 164
\]
\[
\mu = \frac{50}{164}
\]
\[
\mu = 0.305
\]
3. **Question 3:**
[Content Not Provided]
**Note:** The steps and calculations show how to determine the mass and coefficient of friction of a block using basic dynamics and friction principles.
Transcribed Image Text:### Friction and Dynamics: Experimental Procedures
#### 1. Preliminary Actions
- Calculate the mass, \( m \), of the box assuming the floor is frictionless.
- Analyze the box’s behavior as it encounters different surfaces.
#### 2. Constant Velocity on a Rough Surface
- a. Draw a free-body diagram of the box, identifying the force opposing motion.
- b. Determine the coefficient of friction between the box and the surface.
#### 3. Box on a Very Rough Surface
- a. Draw the free-body diagram of the box, identifying the opposing force.
- b. Assess the applied pulling force at 70.0 N keeping the box stationary, identifying the coefficient of static friction.
- c. Increase the applied force steadily. Identify when it reaches 144.0 N, determining the maximum coefficient of friction before motion starts.
#### 4. Forces at an Angle
- Analyze a box being pulled by a force, \( F \), at an angle \( \theta \).
- a. Draw a free-body diagram of the box.
- b. Identify forces on the \( x \)- and \( y \)-axes.
- c. Predict the changes in frictional force as \( \theta \) increases from 0° to 45°.
#### 5. Coefficient Calculation
- Create a procedure using prior questions to determine coefficients of kinetic and static friction.
### Safety Precautions
- All materials are nonhazardous; adhere to laboratory safety guidelines.
### Procedure
#### Introductory Activity
1. Place the wood block flat on a tabletop.
2. Attach a Vernier force sensor or spring scale.
3. Measure static friction and record multiple trials for accuracy.
4. Measure kinetic friction similarly and record the results.
5. Analyze the data to find coefficients of friction between the wood block and tabletop.
#### Guided-Inquiry Design
1. Formulate a group discussion.
2. Discuss, in your words, the cause of friction.
3. Use background knowledge to compute static and kinetic frictions.
4. Explore the relationships between normal force, \( N \), and friction force, \( F_f \).
#### Predictions
- Analyze how factors like surface area and mass impact the force of friction.
This experiment provides a hands-on approach to understanding friction dynamics, enhancing comprehension through practical application and detailed observation.
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