![]() ![]() Published by Vernier Software & Technology in Beaverton, OR in 2007. The student handout was modified from the Physics with Vernier by Gastineau, J. Use website, for curve fitting the data to a straight line. Then curve fit the air resistance data to a straight line to get the most accurate result. Use the Monte Carlo method to determine the errors of the air resistance. What is the net force on the coffee filter? What will acceleration of the coffee filter be at terminal velocity? Using the sum of forces equation, have the students calculate the air resistance constant for each mass of the coffee filter. Have students draw a free body diagram of a falling coffee filter at terminal velocity. What did they observe yesterday? Did the heavier coffee filter fall faster than the lighter coffee filter? Then have students determine which relationship between mass and velocity is vtm or vt2m is correct.ĭay 3: Review which relationship between mass and velocity is correct. Have students collect data using loggerpro and motion detector to find terminal velocity.ĭay 2: Review the relationship between mass of coffee filter and terminal velocity. Then review how to use motion detector and loggerpro. This can be done using a class-starting question. To find if there is any relationship between temperature and thermal expansion, we will plot a nonlinear regression to see if the regression line fits the data, the relationship between the predictors and response, how well it fits the data, and determine if it fits the assumptions and analysis.The following schedule is for a 50 minute class.ĭay 1: It is suggested that the first day you review free body diagrams, velocity, and acceleration. The purpose of this study is to identify if there is any relationship between the coefficient of the thermal expansion of copper and its temperature in Kelvin. You can use this data to demonstrate Nonlinear Regression. Researchers for the NIST (National Institute of Standards and Technology) want to understand the relationship between the coefficient of thermal expansion for copper and the temperature in degrees Kelvin. You do not need to show error bars in your graph. You should also show your data table in your graph file by using the "print" function in Logger Pro (and not "print graph"). a Logger Pro can graph the balls kinetic energy according to K my if you supply the balls mass. Use the linear regression tool to fit both data sets and be sure to show the uncertainties of your linear fit data. Now analyze the balls kinetic and potential energy during its flight. You should show both lines on the same plot. temperature difference (ΔT) for both aluminum and brass wires. You should give the column a meaningful name, units, and short name (short nm) since these are used in generating labels on. ![]() If you are using generate values you need to (a) Select Data along the top bar, then New Manual Column for a column that will contain entered values. Using the data from Table, plot a graph of the resistance vs. Logger Pro will say that it is an incompatible le format. You can use scientific notation to present your final results or use an appropriate prefix for the units. The uncertainty of the slope is obtained using the "show uncertainty" setting in the linear fit options in Logger Pro. Be sure to include the uncertainty calculation (propagation of error). ![]() ΔT graph, calculate the temperature coefficient of resistivity (α) for aluminum and copper. Table: Resistance values of aluminum and brass wire for different temperatures Use the linear regression tool to fit both data sets and be sure to show the uncertainties of your linear fit data. SOLVED: Using the data from Table, plot a graph of the resistance vs.
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