PHYSICS SEMESTER ONE LAB 4 LAB 4: CONSERVATION OF ENERGY: AIR TRACK AND SMART TIMER Lab format: This lab is performed via an internet connection with the Remote Web-based Science Laboratory (RWSL). Relationship to theory: This lab corresponds to Unit 5: Work and Energy OBJECTIVES Using an air track, a system is constructed which is nearly free of non-conservative forces, like friction. Hence, its mechanical energy should very nearly be conserved. By making measurements of the speed and change in height of the constituents of the system at four different instants, the mechanical energy of the system can be compared at those four instants. EQUIPMENT LIST Remote Web-based Science Lab air track 4 photogates launch mechanism gliders of different masses, with twobladed timing flags timing and analysis software INTRODUCTION Conservation laws are among the most fundamental concepts of physics. By definition, the value of a conserved quantity before a physical process begins is the same as the value of the conserved quantity after the process has occurred. In fact, not only the value (which can be interpreted as a magnitude) is conserved: conservation of magnitude and direction (such as you would see in an angular momentum) are also conserved. Any physical process brings something from an initial state to a final state, and the final state can be quite different from the initial. The conservation laws give us a way of comparing these two states. That is the root of their importance in physics. This experiment will examine the conservation of energy. You should review the definitions of kinetic energy and gravitational potential energy stated in your textbook and notes. The mechanical energy of the system in each part of this experiment consists of kinetic energy of the moving parts of the system, plus the gravitational potential energy of the falling/rising parts of the system. The photogate timing system is used to measure the average speed of the glider at two different locations. Remember that the timer will compute the average velocity of the glider as the timing flag passes through a gate, not the instantaneous velocity. With a constant acceleration, the average velocity from the photogate is very close to the instantaneous velocity at the centre of the photogate. Creative Commons Attribution 3.0 Unported License 1 PHYSICS SEMESTER ONE LAB 4 1. Why does it matter that the timer computes only average velocity? What sources of error will this introduce? 2. We say that the average velocity from the photogate (with constant acceleration) is very close to the instantaneous velocity … Can you estimate or guess how close these values will be? Friction can never be completely eliminated in the laboratory. Keep this in mind when you compare the mechanical energy at the eight different instants (four up and four down). PROCEDURE Conservation of energy on an inclined (tilted) track You may recall the rules for air track use from Lab 2: WARNINGS pay particular attention to whether or not the fan is on The air track is delicate. Even very small distortions in the level of the track can destroy any hope of ever obtaining good results. Never place a glider on the track without first turning on the air supply. Turn the air supply on or off only when there are no gliders on the track. Setup Experiment Screen The track setup screen is shown in Figure 4.1. New commands, and some of the lab 2 commands, that you will be using in this lab are indicated. Creative Commons Attribution 3.0 Unported License 2 PHYSICS SEMESTER ONE LAB 4 Track Tilt Adjustment Photogate Control Mass Move glider between Scale and Track then back to Storage A Figure 4.1: Setup Experiment Control Screen with controls new to Lab 4 indicated. Level the air track by adjusting the elevation of the end of the track until the laser beam is centred on the level position on the Tilt Screen. Use a camera to note the elevation of the Tilt Actuator Support (see Figure 4.2) at the adjustable end of the track. You will use this value to calculate the slope of the track when it is tilted. Select and measure the mass of a glider. There are several light and heavy gliders to choose from. You will be using one light glider and one heavy glider in this experiment. Weight the light glider from Storage A (Pick up and Weigh button), and place the glider on the air track using the Scale to Track End A button. Use the Launch command in the Run Experiment screen to launch the glider from the Return Solenoid to End B. Measure the length of the Timing Flag on the glider. This is probably easiest to measure when the track is level. Refer back to the notes in Lab 2 about estimating the uncertainty in this value. Creative Commons Attribution 3.0 Unported License 3 PHYSICS SEMESTER ONE LAB 4 Use the cameras to measure the locations of the photogates relative to the front of the timing flag nearest to End B. These values will be used with the tilt angle to determine the drop in elevation between photogates. Rulers Photogates Return Solenoid, End A Glider and Timing Flag Release Solenoid, End B Air Track level Δy θ Laser Pivot Tilt Actuator Support Δx Figure 4.2: RWSL Air Track and Apparatus Use the Track Tilt Adjustment slider or number box to lower the Tilt Actuator Support by between 4 and 6 cm. Note the new level of the Tilt Actuator Support. You will be comparing this value to the level air track value to determine the tilt angle θ (see Lab 2 for tilt calculation details). Also note the number value in the Track Tilt Adjustment number box as you will have to go back to this position with the glider from Storage B. The glider will probably glide back to End A during this activity. 3. When adjusting back to the number box, does the screw always approach the desired point turning the same direction, or will it take the shortest route, resulting in some error from slop in the threads? Creative Commons Attribution 3.0 Unported License 4 PHYSICS SEMESTER ONE LAB 4 Run Experiment Screen Trial Number Trial Data Launch Strength Reject Data Options Launch, Hold and Release buttons for one end of the air track Figure 4.3: Run Experiment Control Screen with Lab 4 controls indicated. Use the Launch command to launch the glider from the Return Solenoid to the Release Solenoid at End B. You may have to adjust the Launch Strength for the Release Solenoid to capture the glider. The Release Glider will hold the glider for 10 s before releasing it. Activate the photogates by clicking the Photogate control button to “ON” during this time. If you get impatient, you can press the Release button for End B. After each timing trial, you have the option of accepting the data and increasing the Trial Number for the next run, or Deleting Current data if there was a problem during the run. Make five more trials for this glider at this tilt angle. Return the track to level and move the glider back to Storage A. Repeat this with the heavy glider in Storage B. Weigh the glider, measure heavy glider timing flag and distances from the front of the flag. Re-tilt the track by entering the number value used with the light glider into the Track Tilt Adjustment number box. Check the level of the Tilt Actuator Support to verify that the track is returned to the light glider tilt level. 4. Although returning the air track to level before replacing the light glider with the heavy one is a necessary step for this lab, how does it affect the reproducibility of the experiment? Creative Commons Attribution 3.0 Unported License 5 PHYSICS SEMESTER ONE LAB 4 Launch the glider to end B and repeat measurements done with the light glider. Repeat this for both glider masses at a larger track tilt angle. Tilt Actuator Support should be between 7 and 10 cm below the level position. ANALYSIS Compute the mean value of the average velocity and the associated SDOM (see Appendix E). It should be easy for you to devise a simple spreadsheet to automatically convert your values. (If you get really stuck, you can use the accompanying spreadsheet file: Lab 4 Average Velocity.xls.) Then compute the mechanical energy (including uncertainty, of course) at the four instants identified by the photogate timing system. Do this by first computing the kinetic energy of the system at the four instants, and then the potential energy at the four photogate heights. The potential energy is most easily calculated by assuming that the potential energy of the system is zero at the initial timing flag position. The relative potential energies as the glider moves down the track should be negative. Use the tilt angle and photogate positions to determine the drops in elevation from the initial timing flag position. The change in the potential energy that occurred as the glider traveled between the gates can then be assigned in the appropriate way to be the potential energy of the system between average speed measurements. Compare the mechanical energy of the system at the four instants. 5. Are the results consistent with conservation of mechanical energy? Plot the mechanical energies for each set of measurements as a function of position for the four measurements where the glider travels up the track. Estimate and compare the coefficients of friction for the gliders of different mass and different track tilt. Compare the average air track coefficient of friction to that of synovial joints (be sure to include error analysis in your calculations. Also include your reference for your source of the synovial joint coefficient of friction value). QUESTIONS Along with your calculations and experimental results, complete all numbered questions in this lab. Creative Commons Attribution 3.0 Unported License 6 PHYSICS SEMESTER ONE LAB 4 REFERENCES This lab is adapted from reference 1. 1. Laboratory Manual for PHY 100 & 101 Introductory Physics I and II and PHY 120 & 121 Principles of Physics I and II, 5th Edition 2004, prepared by Jason Diemer, North Island College NANSLO Physics Core Units and Laboratory Experiments by the North American Network of Science Labs Online, a collaboration between WICHE, CCCS, and BCcampus is licensed under a Creative Commons Attribution 3.0 Unported License; based on a work at rwsl.nic.bc.ca. Funded by a grant from EDUCAUSE through the Next Generation Learning Challenges. Creative Commons Attribution 3.0 Unported License 7