Forces Lab INTRODUCTION Newton’s Laws of Motion state: Newton’s 1st Law: An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. Newton’s 2nd Law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Newton’s 3rd Law: If object 1 and object 2 interact, the force exerted by object 1 on object 2 is equal in magnitude but opposite in direction to the force exerted by object 2 and object 1. (For every action, there is an equal and opposite reaction). PART A: OBJECTIVES – HOVERCRAFT LAB Based on Newton’s Laws of Motion examine the behavior of objects in a frictionless or friction-reduced environment? When pushing over a set distance, determine the force applied to the manned hovercraft at the point of release. Determine the force of resistance after the point of release. PART B: OBJECTIVES – COEFFICIENT OF STATIC AND KINETIC FRICTION Use a Dual-Range Force Sensor to measure the force of static friction. Use a Dual-Range Force Sensor to measure the force of kinetic friction Determine if the coefficient of kinetic friction depends on weight or speed. 1 PART A: PROCEDURE – HOVERCRAFT LAB Materials and Apparatus Logger Pro graphing software Hovercraft, vacuum, extension cords (30 meters) Eight stopwatches Measuring tape Masking tape Personnel o One student to ride hovercraft with vacuum (RIDER) o Two students to catch manned hovercraft beyond the finish line (CATCHERS) o Eight students with stopwatches to record time (TIMERS) o One student or instructor to push manned hovercraft (PUSHER) o One student to log recorded times (RECORDER) Procedure 1 Choose a surface that is “smooth” and “flat” (i.e. school hallway) with at least 40 meters of distance. 2 Designate a starting point (0-meter marker) with tape. This point represents the starting line or origin. 3 Using measuring tape, place tape on the ground at 3-meter intervals for 24 meters. 4 The TIMERS will be placed at each tape marker with a stopwatch. Do not place a student 0-meter tape marker. 5 The CATCHERS will be placed 2 – 3 meters beyond the finishing line to gently slow down hovercraft at end of trip. 6 The PUSHER will start from an exact distance of 15 meters in front of the starting line. Use measuring tape to get exact distance in front of starting line. 7 The RIDER will get on hovercraft with vacuum. The instructor will make sure the RIDER is situated properly on the hovercraft. The instructor will turn the hovercraft “on” and move the RIDER into a resting position exactly 15 meters in front of the starting line. 8 Once in position 15 meters in front of starting line, the PUSHER with push the RIDER towards the starting line. 9 Once the RIDER and the front of the hovercraft reach the first tape marker, the PUSHER will release the RIDER from their hands and simultaneously yell “start”. 10 Once the PUSHER yells “start”, the TIMERS will simultaneously start their stopwatches. As the front of the hovercraft passes each tape marker the TIMERS will stop their stopwatches. 11 The RECORDER will log the times at each tape marker and note the name of the RIDER. 2 PART A: DATA TABLE #1: “WIND UP / CHAPTER #1” Trial Initial Velocity (m/s) 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 Time (s) Displ (m) Accel (m/s2) 3 Final Velocity (m/s) Total Mass (kg) Force Applied (N) PART A: DATA TABLE #2: “COASTING / CHAPTER #2” Trial Initial Velocity (m/s) Time (s) Displ (m) Accel (m/s2) 1 2 3 4 5 6 7 8 9 10 4 Final Velocity (m/s) Total Mass (kg) Force Resistance (N) PART A: ANALYSIS 1. Calculate the following during the “wind-up”: (Show work for one trial and answers for each other trial) Acceleration Final velocity Force applied 2. Calculate the following during the “coasting”: (Show work for one trial and answers for each other trial) Acceleration Final velocity Force of resistance 5 PART B: OBJECTIVES – COEFFICIENT OF STATIC AND KINETIC FRICTION MATERIALS Computer Vernier computer interface Logger Pro Vernier Motion Detector Vernier Force Sensor String block of wood with hook balance or scale mass set PART B: PROCEDURE – COEFFICIENT OF STATIC AND KINETIC FRICTION Part I Starting 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 “12a Static Kinetic Frict” from the Physics with Vernier 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. Place a total of 1 kg mass on top of the block, fastened so the masses cannot shift. Practice pulling the block and masses with the Force Sensor using this straight-line motion: Slowly and gently pull horizontally with a small force. Very gradually, taking one full second, increase the force until the block starts to slide, and then keep the block moving at a constant speed for another second. 5. Sketch a graph of force vs. time for the force you felt on your hand. Label the portion of the graph corresponding to the block at rest, the time when the block just started to move, and the time when the block was moving at constant speed. 6. 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. 7. 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. Print or copy the graph for use in the Analysis portion of this activity. Part II and III Peak Static Friction and Kinetic Friction In this section, you will measure the peak static friction force and the kinetic friction force as a function of the normal force on the block. In each run, you will pull the block as before, but by changing the masses on the block, you will vary the normal force on the block. 6 Mass Wooden block Dual-Range Force Sensor Pull Figure 1 8. Remove all masses from the block. 9. Click to begin collecting data and pull as before to gather force vs. time data. 10. 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. 11. 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. 12. Repeat Steps 9-11 for two more measurements and average the results to determine the reliability of your measurements. Record the values in the data table. 13. Add masses totaling 250 g to the block. Repeat Steps 9–12, recording values in the data table. 14. Repeat for additional masses of 500, 750, and 1000 g. Record values in your data table. 7 PART B: DATA TABLE #1 – COEFFICIENT OF STATIC AND KINETIC FRICTION Part I Starting Friction Mass of block Kg Part II Peak Static Friction Total mass (kg) Normal force (N) Peak static friction Trial 1 Trial 2 Trial 3 Average peak static friction (N) S Part III Peak Kinetic Friction Total mass (kg) Normal force (N) Kinetic friction Trial 1 Trial 2 Trial 3 8 Average kinetic friction (N) K PART B: ANALYSIS – COEFFICIENT OF STATIC AND KINETIC FRICTION 1. For part II, calculate the following: (Show work for one trial and answers for each other trial) Average peak static friction Coefficient of static friction 2. For part II, calculate the following: (Show work for one trial and answers for each other trial) Average peak kinetic friction Coefficient of kinetic friction 3. Does the coefficient of kinetic friction depend on speed? 4. Does the force of kinetic friction depend on the weight of the block? 5. Does the coefficient of kinetic friction depend on the weight of the block? 9