Physics 8 Name____________________ Chapter 12.3 Date Started ________________ Marble container number ___ Due Date __________ Period ____ Lab: Conservation of Momentum Objective: to investigate the concept of conservation of momentum using a ramp and marbles. Materials: triple beam balance, 3 marbles (two large-same size (one has a black dot), one small marble), stopwatch, two -1 meter tracks, assortment of books to prop up track, meter stick Equations: P = m v %ššššš = Pin = Pout min vin = mout vout šššššššššš šššš šššššš”šš š£ššš¢š šššššš”šš š£ššš¢š v= š„ 100 š”šš”šš ššš š”šššš š”šš”šš š”ššš Something to stop the marble Diagram of set-up: Input Marble has a big dot 10cm height, prop up the tilted track with books Output Marble 2cm gap between the tracks so the Input marble stops in this gap Procedure: 1) Gather all materials; keep the three marbles securely on table. 2) Identify each marble. One large marble is the Input Marble (has a big dot), the other is the Output Marble. The small marble will be used near the end of the lab. 3) Set up the 1 meter ramps according to the diagram of set-up. 4) Record all data on the Data Table when each step asks to measure. Design an appropriate title for the Data Table. 5) Measure the mass of the Input Marble to the nearest 0.1g. Convert the measurement to Kg to the 0.0001kg place. 1 Physics 12.3 Conservation of Momentum Lab 11.2014 6) Steps to find the momentum of the Input Marble: a. Confirm that the input distance track is 1.0m. b. Measure the time of 3 Input Marble trials to the nearest 0.01s. c. Calculate the average of the 3 Input Marble trials to the nearest 0.0001s. d. Calculate the average velocity of the Input Marble to the nearest 0.0001m/s. Show the E.S.A. on the Data Table. Use v = d/t. e. Calculate the momentum of the Input Marble to the nearest 0.0001kgām/s. Show the E.S.A. on the Data Table. 7) Steps to find the Output Marble mass: a. Confirm that the output distance track is 1.0m b. Confirm that the diagram of set-up is proper, especially the 2cm gap. c. A “good trial” is when all of the momentum of the Input Marble is transferred to the Output Marble and the Input Marble stops at the gap while the Output Marble moves down the output track. d. Practice step “6.c” so you have consistent trial times. Measure the time of 3 Output Marble trials to the nearest 0.01s. e. Calculate the average of the 3 trials rolling time of Output Marble to the nearest 0.0001s. f. Calculate the average velocity of the Output Marble to the nearest 0.0001m/s. Show the E.S.A. on the Data Table. g. We will assume that this set-up is a closed momentum system where momentum input is equal to momentum output. Since you have calculated the Input Marble momentum you also know the Output Marble momentum. h. Calculate the Output Marble mass to the nearest 0.0001kg. Show the E.S.A. Use (min vin = mout vout ) Rearrange the equation and solve for mout. This calculated mass is used in procedure step #8. i. Measure the mass of the Output Marble to the nearest 0.1g. Convert the measurement to Kg. This measured mass is the “accepted value” that will be used in procedure step #8. 2 8) Calculate the % error of the Output Marble mass calculation compared to the “accepted value” of mass to the nearest 0.0001%. Show the E.S.A. If your % error is greater than 30%, Re-measure your data. Conclusion Questions: Complete these questions as well as all portions of P.4 data table. 1. Describe two sources of error that lead to your answer for step 8. Source#1:_____________________________________________________ _____________________________________________________________ _____________________________________________________________ __________________________________________________________ Source#2:_____________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ 2. Predict the output velocity, if a smaller output marble were used. Explain your reasoning. Use the smaller marble in another set-up. Show your results. Prediction:____________________________________________________ _____________________________________________________________ _____________________________________________________________ Reasoning: (Include: p,m,v) _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ Results (include E.S.A., 0.0001m/s):________________________________ Use: v = d / t 3 DATA TABLE TITLE: ___________________________________ Mass of Input Marble _______ g _______kg Input distance ________m Input Marble: Trial 1 ______s Trial 2 ______s Trial 3 ______s Input Marble average time _____s Input Marble average velocity E.S.A. Input Marble momentum E.S.A. Output distance _______m Output Marble: Trial 1 ______s Trial 2 ______s Trial 3 ______s Output Marble average time _____s Output Marble average velocity E.S.A. Output Marble calculated mass E.S.A. Output Marble measured mass ______ g _____ kg % error of the Output Marble mass calculation: 4