Determining the Pop Time of a Toy Popper (1 Class Period, Groups of 3) Objective In this experiment, we will be revisiting the measurements we made when we attempted to calculate the force and time of a toy popper’s pop. This experiment will allow us to compare our previous results with direct measurements of the event using a LabQuest handheld computer and a force probe. We will then calculate the error in the time and force from the two sets of data. Background The LabQuest handheld computer is able to collect 1000 data points per second and make complex calculations. We will use these features to find the actual time and force of the “pop.” The calculation for error is as follows: (Experimental - Accepted) Relative Error = 100% Accepted Assume the results from the LabQuest are the accepted values and the data derived from the height calculations are the experimental values. Materials LabQuest Handheld computer Dual-Range Force Sensor Toy poppers Two meter sticks Ring Stand Hanging scale platform Procedure: 1. As in the previous experiment, place the popper on the table and accurately measure the height using the two meter sticks. Do this at least three times and average the height. Once you have determined the height, you can calculate vi using vi 2gh . 2. Measure the height of the popper ( h p ). Determine the average velocity of the popper, vavg a 3. 4. 5. 6. vi vi v f 2 , then calculate the time of the pop with t pop hp vavg . Calculate the acceleration . Use a gram scale to get the mass of the popper (remember to convert the grams into t pop kg) and calculate the force of the pop using the formula F ma . Use a hanging platform or make one by cutting a 3”-4” square piece of foam board. Use string to make three supports and tie them into a knot at the top. Tie a second knot about 1/2” below the first one. This upper loop will stop the platform from falling over. Unscrew the bar of the ring stand and place it flat on the table so that it hangs over the edge towards you. You may want to place a book on it to keep it from rolling. Hang the DualRange Force Sensor on the bar so that the hook is hanging down. Now attach your platform onto the hook of the sensor. Turn on your LabQuest and plug the Dual-Range Force Sensor into Channel 1 on the top of the device. Make sure the 10N range is selected on the sensor. Zero out the sensor with the platform attached. Click “Sensor” then “Data Collection.” Under Timing, set Rate to 1 sample/ms, Length 30 ms. Enable Triggering, select “Start collecting when the sensor is increasing across 2.0 N,” and enter “Collect 20 points before trigger.” 7. Press the button to start collecting data, then invert the popper and place it on the platform. The LabQuest will wait for the triggering event. When it pops, you will have collected the event on the LabQuest. 8. Highlight the event from the beginning of the pop to the end of the pop. Select “Analyze,” then “Statistics” and “Force.” You will be able to read the maximum force of the pop from the screen. Read the time from the bottom of the screen, this is the LabQuest – tpop in your chart. You will also need this for step 11. 9. Record the maximum force from the display and the duration of the pop on your chart. 10. Print the graph and include it in the lab report. 11. The Impulse we were studying can also be read directly from the LabQuest. Select the section of the curve that begins the event and returns to the same level. Select “Analyze,” then “Integral,” and then “Force.” The number you get on the screen for the integral is the impulse, which is the force (in Newtons) times the time (in milliseconds). Divide the integral value by the mass (in kg) to calculate the vi of the pop. 12. Repeat the experiment from the beginning with a different size popper. If you are using one of the mini poppers, you will need to lower the triggering force to 0.25 N for the small popper to trigger the LabQuest. 13. In the analysis section, create the table below. Calculate the error for the initial velocity, time and maximum force. This is the force value that you found determined from the height of the pop. On the LabQuest, this is the value from the statistics, not the average force from the integral. Large Popper Small Popper Height Experimental - Vi Experiment - tpop Experiment – Force LabQuest – Vi LabQuest - tpop LabQuest – Force % Error – Vi % Error - tpop % Error - Force Make sure you show sample calculations and explain every one of your steps. Pay attention to significant figures. Questions 1. Explain why the average force is different from the peak force read from the screen. 2. Can we measure the time of the pop using a stop watch? Why or why not? 3. What could you have done in this lab to improve the accuracy of your results? 4. What should be done to improve this lab for next year’s students? Lab Report Checklist: Headers are filled in completely Introduction Material & Procedure Data & Observations Analysis Conclusion Report is neat, spelling is correct Units are included where needed Correct significant figures used Signed on the last page