Loading...

What is the relationship between the coefficients of static and kinetic friction?

Icon

Let's Investigate

In this investigation, you will determine the coefficients of static and kinetic friction. Coefficients of friction are a measure of the amount of friction existing between two surfaces.

The coefficient of static friction, \({ µs }\), is the measure of the amount of friction between two surfaces that are at rest.

The coefficient of kinetic friction, \({ µs }\), is the measure of the amount of friction between two surfaces that are moving.

By the end of this lab activity, you will be able to answer the question, “What is the relationship between the coefficients of static and kinetic friction?” using data to support your answer.

For this investigation, you will use the friction mode of the PhET simulation “Forces and Motion-Basics,” which appears below. Using this simulation, you will find the force of friction. Then, you will calculate the coefficients of static and kinetic friction using the formula. Finally, you will determine how the two coefficients compare to each other.

Once you have completed the experiment, you will communicate the results by writing a laboratory report. You will create your laboratory report in a word- processing program.

Attribution: PhET Interactive Simulations | University of Colorado | https://phet.colorado.edu

The instructions, the laboratory report requirements, and the rubric that will be used to grade the report are shown on the tabs below. Click the button below to download the instructions OR read and follow the steps on the first tab to complete the investigation.

Laboratory Instructions

Laboratory
Report

Grading
Rubric

Read and follow the directions on each slide.

Click the “Friction” mode of the simulation. On the screen, you will see a crate and a figure that can apply force to the crate.

screenshot of simulation

The controller for the “Applied Force” is located below the track. The applied force is set to 0 newtons. To make the figure apply a force to the crate, use the arrows on the right side of the force reading. The double arrows add 50 N at a time, and the single arrow adds 1 N at a time.

screenshot of simulation

The section toward the top right side of the simulation window has various labelled areas.

If “Values” is checked, the values for the forces and masses will be shown. If “Masses” is checked, the mass of each object will be shown; and if “Speed” is checked, the relative speed of the object will be shown.

There is also a slider to vary the friction with a default of medium friction. “Forces” should already be selected. For this activity select “Sum of Forces,” “Values,” “Masses,” and keep the friction slider at the default value of medium friction.

Make two data tables for recording information. Make one data table for the coefficient of static friction and one for the coefficient of kinetic friction. On each of these data tables, have places to record the mass, normal force, friction force, and coefficient of friction for four trials.

Follow these instructions to calculate the coefficient of static friction using the simulation.

Coefficient of Static Friction, \({ µs }\)

The coefficient of static friction is calculated by using the static friction force. This is the force that must be overcome for the crate to begin moving.

  1. To determine the static friction force, you will need to add force to the object until the object just starts to move. Use the crate, which has a mass of 50 kg, and click on the right-facing double arrow twice. This exerts a force of 100 N on the crate. If the crate has not started to move, click on the single arrow until the crate just barely starts to move. If you overshoot the movement, you can reset and start adding forces again.
  2. The force at which the object barely starts to move is the static friction force.
  3. Record the mass and friction force in your data table.
  4. Calculate \({ Fn }\) (normal force) for the crate and record it in your data table.
  5. Use the normal force and the static friction force to calculate the coefficient of static friction.

Follow these instructions to calculate the coefficient of kinetic friction using the simulation.

Coefficient of Kinetic Friction \({ µk }\)

The coefficient of kinetic friction is calculated by using the kinetic friction force. This is the force that must be applied for the crate to keep moving at a constant speed once it has started moving. Important Note: To make sure the crate is moving at a constant speed, the sum of the forces must equal zero.

  1. To determine the kinetic friction force, you will repeat the procedures for static friction. Once the crate is moving, reduce the force applied using the left arrows until the crate starts moving at a constant speed (no acceleration). Once the crate is moving at a constant speed and the sum of the forces is zero, the friction force shown as the object is moving is the kinetic friction force.
  2. Record the mass and friction force in your data table.
  3. Calculate \({ Fn }\) (normal force) for the crate and record it in your data table.
  4. Use the normal force and the kinetic friction force to calculate the coefficient of kinetic friction.

Add another crate on top of the first one. Calculate the new normal force based on the new mass. Record the mass and the normal force of the two crates. Repeat the procedure of pushing on the crates until they just move. Find the static friction force and the sliding friction force and record them in your data table. Use the forces to calculate the coefficient of static and kinetic friction for the two crates.

Change the mass two more times by changing the objects. For each mass, record the mass and new normal forces in your data table. Find the friction forces for each and calculate and record the coefficients of static and kinetic friction.

next slide

Compare the coefficient of static friction and the coefficient of kinetic friction and determine how they compare to each other. As you write your lab report, answer the question “What is the relationship between the coefficients of static and kinetic friction?”

For this experiment, you will be writing a formal laboratory report. Make sure to review the parts of a laboratory report and include each of these sections in your submission.

Title The title of the laboratory report tells the reader what you did in the experiment. Make it brief but include enough information to help the reader understand what was tested.
Introduction The first part of the introduction summarizes the purpose of the experiment. This part is likely going to be only a paragraph in length.
The second part of the introduction provides a summary of the background information that is needed to understand the experiment. In other words, this is a brief report on the background research that you performed to define the problem and design the experiment.
The last part of the introduction is a statement of your hypothesis.
Materials This section is simply a list of the materials that are needed to perform the experiment. Remember, one of the goals of communication is to allow for another person to repeat your experiment, so be specific and thorough.
Procedure and Methods This section should describe the methods and procedures used to perform the experiment. It should include a description of how to control the experiment as well as when and how to take measurements and observations. You can include a diagram of the setup if it is helpful to the reader.
Data This section includes the raw data that was collected when the experiment was completed. Make sure the data is organized and presented in data tables that are easily read and understood. In this section, do not discuss the results... that comes later.
Analysis and Results This is where you discuss the results of the experiment. The data section contains the raw data and this section would contain any calculations (like averages) that were made. In this section is where you interpret the data. You will refer to any figures and graphs in this section using numerical references (i.e. Figure 1, Graph 1).
Conclusions The conclusion is a simple summary of what happened in the experiment. Discuss whether or not the data supported the hypothesis or not. Also, include a discussion on any unexpected error that was introduced into the experiment and how you might improve the experiment if doing it again.
Figures and Graphs Use this section to display any graphs that you create from the data and analysis of the data. In the case of the paper airplane lab, a graph would include the paper weight on the x-axis and the distance flown on the y-axis as a line graph. This would show the relationship between the independent variable and the dependent variable. Make sure to label these with numbers to reference in your Analysis and Results section. This laboratory should include a graph that compares mass to acceleration.
References The last thing you need to provide is any references you used for your background research. You should include at least two or three creditable resources, if not more.

Take a look at the laboratory report rubric that will be used to grade this report. Once you have finished writing your laboratory report, turn it in to your teacher.

Report Components

All required elements are present and additional elements that add to the report (e.g., thoughtful comments, graphics) have been added.

Purpose

The purpose of the lab or the question to be answered during the lab is clearly identified and stated.

Background Information

Report illustrates an accurate and thorough understanding of scientific concepts underlying the lab.

Materials, Procedures

All materials and setup used in the experiment are clearly and accurately described.

Methods

Procedures appear to be replicable. Steps are outlined sequentially and are adequately detailed.

Data, Graphs, and Figures

Professional looking and accurate representation of the data in tables and/or graphs. Graphs and tables are labeled and titled.

Analysis

The relationship between the variables is discussed and trends/patterns logically analyzed. Predictions are made about what might happen if part of the lab were changed or how the experimental design could be changed.

Conclusion

Conclusion includes whether the findings supported the hypothesis, possible sources of error, and what was learned from the experiment.

References

Several reputable background sources were used and cited correctly. Material is translated into student's own words.