4L1 - Shoe Lab (Impulse and Friction)

Last updated over 3 years ago

Note from the author:

Impulse and Friction lab for Engineering a Shoe (unit 4) in the Patterns Physics curriculum.

Investigation 1: Modeling the Impact of a Shoe

Investigation 1: Modeling the Impact of a Shoe

Height and Mass Assigned

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Hypothesis
I think that doubling the cushioning will __________ the TIME of impact and will__________ the impact force.

Set up a Force plate with a chromebook. 

2. Open Graphical Analysis. 

3. Change the "Data Collection Settings" by clicking on the bottom left corner of the screen.
4. Use the image below to set your Graphical Analysis software  settings for Data Collection.

Drop the object from the assigned height with 1 piece of cushioning.

To find the time and force, select the "bump" that resulted and click the "Graph Tools" to find the IV, the change in time (\Delta\ x) in seconds (s), and the DV, the mean force in Newtons (N).

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE
7. Enter your data in the data table. Repeat each drop for a total of 4 trials.

8. When you're done, take a screenshot of your completed data table and add it below.

USE THIS LINK FOR DESMOS
>> Be sure to log in with your Google account and save your graph.

1. Change the A constant to decide which mathematical equation best fits the data.

2. Label the X and Y axes using the graph settings button (“wrench”) on the upper right of the screen.

3. Take a screenshot of your graph and add it below.

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Choose the “generic” equation from the Desmos analysis that describes the relationship between time of impact and impact force:

Write down the mathematical model for the relationship between impact time and average impact force:
The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.

Investigation 2: Modeling the Effect of Mass on Traction

Investigation 2: Modeling the Effect of Mass on Traction

Below is a part of the a lab report written by two students, Sal and Maryanne. In the report, each student makes their own hypothesis about the effect of force on the friction in a shoe.

Title of Experiment: Traction of Shoes Investigation
Performed by: Sal and Maryanne

Aim (with Background):
We have been studying shoes in class. When you are trying to change direction or start to run, you want to make sure that you do not slip. In order to design our shoes better, we need to better understand how friction works. The aim of this experiment is to look at how the force pushing down on a shoe affects force of friction.

Research Question: How does the force with which the shoe is pressed against the ground affect the friction of the shoe?

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What is the primary force acting on the shoe that presses it to the ground?

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Of the two hypotheses above, which do you think is more correct?

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Why did you pick that one?

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Read the written procedure below, and highlight the portion that says how to measure the force of friction.

Written Description:
In this experiment the independent variable is the force of the shoe pressing against the ground, measured in Newtons (N). To change the force the shoe is pressing down with, mass is added inside the shoe in addition to the mass of the shoe itself. A wide range of masses was used to get a large range of data. To measure the force of friction, the dependent variable, a spring scale was used. The shoe was pulled horizontally by the spring scale until just before the shoe moved, and the maximum force was measured in Newtons (N) using the spring scale. Multiple trials were completed in order to collect as accurate data as possible.

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE
For each row you will add an additional 100 grams (0.100 kg) of mass to the shoe and then record the force on a spring scale.

After you are done collecting data, put a screenshot of your data table below.

USE THIS LINK FOR DESMOS
>> Be sure to log in with your Google account and save your graph.

1. Change the A constant to decide which mathematical equation best fits the data.

2. Label the X and Y axes using the graph settings button (“wrench”) on the upper right of the screen.

3. Take a screenshot of your graph and add it below.

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Choose the “generic” equation from the Desmos analysis that describes the relationship between the force pushing down on the shoe and the force of friction:

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Write down the mathematical model for the relationship between normal force and frictional force:
The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.

4L1 - Shoe Lab (Impulse and Friction)

Investigation 1: Modeling the Impact of a Shoe

Height and Mass Assigned

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE7. Enter your data in the data table. Repeat each drop for a total of 4 trials.8. When you're done, take a screenshot of your completed data table and add it below.

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE

USE THIS LINK FOR DESMOS

Choose the “generic” equation from the Desmos analysis that describes the relationship between time of impact and impact force:

Write down the mathematical model for the relationship between impact time and average impact force:The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.

Investigation 2: Modeling the Effect of Mass on Traction

Aim (with Background):

Research Question: How does the force with which the shoe is pressed against the ground affect the friction of the shoe?

What is the primary force acting on the shoe that presses it to the ground?

Of the two hypotheses above, which do you think is more correct?

Why did you pick that one?

Read the written procedure below, and highlight the portion that says how to measure the force of friction.

Read the written procedure below, and highlight the portion that says how to measure the force of friction.

Written Description:

USE THIS LINK TO OPEN A COPY OF THE DATA TABLEFor each row you will add an additional 100 grams (0.100 kg) of mass to the shoe and then record the force on a spring scale.After you are done collecting data, put a screenshot of your data table below.

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE

USE THIS LINK FOR DESMOS

Choose the “generic” equation from the Desmos analysis that describes the relationship between the force pushing down on the shoe and the force of friction:

Write down the mathematical model for the relationship between normal force and frictional force:The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE
7. Enter your data in the data table. Repeat each drop for a total of 4 trials.

8. When you're done, take a screenshot of your completed data table and add it below.

Write down the mathematical model for the relationship between impact time and average impact force:
The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.

USE THIS LINK TO OPEN A COPY OF THE DATA TABLE
For each row you will add an additional 100 grams (0.100 kg) of mass to the shoe and then record the force on a spring scale.

After you are done collecting data, put a screenshot of your data table below.

Write down the mathematical model for the relationship between normal force and frictional force:
The mathematical model is the specific equation for the IV and DV with the A constant as a number and the correct letters for the IV and DV instead of X and Y.