Static and Kinetic Friction Lab Introduction The amount of friction force (Ffr) between two surfaces in contact depend on the nature of the surfaces in contact () and the amount of compression between the surfaces (FN) according to Ffr = FN Objectives Measure the coefficients of static and kinetic friction for cork and track. Determine if the coefficient of kinetic friction depends on weight. Materials computer Vernier computer interface Logger Pro Vernier Force Sensor Protractor string Wood block with cork base balance or scale mass set metal ramp Procedure Part I Peak Static Friction and Kinetic Friction 1. Measure the mass of the block and record it in the data table. 2. Connect the Dual-Range Force Sensor to Channel 1 of the interface. Set the range switch on the Force Sensor to 50 N. 3. Open the file “stat and kin friction” from the group share folder. 4. Tie one end of a string to the hook on the Force Sensor and the other end to the hook on the wooden block. Practice pulling the block and masses with the Force Sensor using a straightline motion (see below): Slowly and gently pull horizontally with a small force. Very gradually, increase the force until the block starts to slide, and then keep the block moving at a constant speed. Mass Wooden block Dual-Range Force Sensor Metal ramp Pull 5. Hold the Force Sensor in position, ready to pull the block, but with no tension in the string. Click to set the Force Sensor to zero. 6. Click to begin collecting data. Pull the block as before, taking care to increase the force gradually. Repeat the process as needed until you have a graph that reflects the desired motion, including pulling the block at constant speed once it begins moving. 7. Examine the data by clicking the Statistics button, . The maximum value of the force occurs when the block started to slide. Read this value of the maximum force of static friction from the floating box and record the number in your data table. 8. Drag across the region of the graph corresponding to the block moving at constant velocity. Click on the Statistics button again and read the average (or mean) force during the time interval. This force is the magnitude of the kinetic frictional force. 9. Repeat Steps 6-8 for two more measurements and average the results to determine the reliability of your measurements. Record the values in the data table. 10. Add masses totaling 250 g to the block. Repeat Steps 6 – 9, recording values in the data table. 11. Repeat for additional masses of 500, 750, and 1000 g. Record values in your data table. Part 2 Peak Static Friction for an incline 1. Put the block on the horizontal ramp. 2. Slowly increase the ramp’s angle of inclination to the horizontal until the block just begins to slide. 3. The largest angle at which the block does not slide is called the critical angle, c. Measure this with a protractor and enter in the table. 4. Repeat two more times. Average the results. 5. Repeat 1 – 4 with 1000 g mass taped securely to the top . DATA TABLE Part I Peak Static and Kinetic Friction Mass of block (kg) Total mass (kg) Normal force (N) Total mass (kg) Normal force (N) Peak static friction (N) Trial 1 Trial 2 Trial 3 Average peak static friction (N) Kinetic friction (N) Trial 1 Trial 2 Trial 3 Average kinetic friction (N) Part 2 Peak Static Friction for an Incline Total mass (kg) Critical Angle (c) Trial 1 Trial 2 Trial 3 Average Critical Angle (c) Analysis 1. For Part I, calculate the normal force of the table on the block alone and with each combination of added masses. Since the block is on a horizontal surface, the normal force will be equal in magnitude and opposite in direction to the weight of the block and any masses it carries. Fill in the Normal Force entries for both Part I data tables. 2. Plot a graph of the maximum static friction force (vertical axis) vs. the normal force (horizontal axis). Use either Logger Pro or graph paper. Include full title, axis labels and units. 3. Since Fmaximum static = s FN, the slope of this graph is the coefficient of static friction s. Find the numeric value of the slope, including any units. Should a line fitted to these data pass through the origin? 4. In a similar graphical manner, find the coefficient of kinetic friction k. Create a plot of the average kinetic friction forces vs. the normal force. Recall that Fkinetic = k FN. Should a line fitted to these data pass through the origin? 5. Does the force of kinetic friction depend on the weight of the block? Explain. 6. Does the coefficient of kinetic friction depend on the weight of the block? 7. For Part 2, derive the maximum angle for which the block will not slide down the ramp c = tan-1(µs) where µs is the coefficient of static friction 8. Using your measured critical angle, determine µs 9. Compare (% difference) your coefficients of static friction determined in Part 1 to that determined in Part 2. Discuss the values. Do you expect them to be the same or different? Static and Kinetic Friction Lab Scoring Rubric Name(s) _____________________________________________ Class ______ 1. Data Tables filled out correctly ____________ 15 pts 2. Graph of the maximum static friction force (vertical axis) vs. the normal force. Title, fully labeled, linear fit with slope. ____________ 10 pts 3. Stated coefficient of static friction s from graph ____________ 2 pts 4. Graph of the average kinetic friction forces vs. the normal force. Title, fully labeled, linear fit with slope. ____________ 10 pts 5. Stated coefficient of kinetic friction k from graph ____________ 2 pts 6. Explained whether the force of kinetic friction depends on the weight of the block ____________ 2 pts 7. Explained whether coefficient of kinetic friction depends on the weight of the block? ____________ 2 pts 8. Derived maximum angle before slipping c = tan-1(µs) ____________ 4 pts 9. Show how used critical angle to determine the coefficient of static friction ____________ 3 pts 10. Compared the two calculated values for the coefficient of static friction ____________ 5 pts Total ____________ 55 pts