Data Set #2: Measurements of braking distance at varying initial speeds
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1 Measurement, Uncertainty, and Data Analysis Activity #4: Graphing and Trends Student Worksheet For each of the following data sets, create a graph displaying the data. Using Excel (or another graphing program approved by your teacher), do the following: Data Set #1: Measurements of mass of a liquid at varying volumes volume (ml) mass (g) Data Set #2: Measurements of braking distance at varying initial speeds initial speed (m/s) distance (m) Data Set #3: Measurements of pressure and volume of a balloon at constant temperature pressure (kpa) volume (dm 3 )
2 Data Set #4: Measurements of radioactivity at increasing distances emanating from a single radioactive source Radioactivity (Bq) Distance (m)
3 Measurement, Uncertainty, and Data Analysis Activity #4: Graphing and Trends Notes for Teachers and Sample Results The objective of this activity is to give students a chance to practice graphing data and fitting trendlines. Also, it is meant to give them some practice identifying the physical meaning of the parts of the a trendline s equation. The equations will not fit exactly to the expected form, so students will need to learn what a quadratic looks like when fit as a power function. Data Set #1: Measurements of mass of a liquid at varying volumes volume (ml) mass (g) Label your axes, including both the name and units of the quantity being plotted. Mass (g) Data Set #1: Mass and Volume M = V R² = Volume (ml) a. Independent = Volume, Dependent = Mass a. Direct Relationship a. The slope = g/ml a. Density!
4 Data Set #2: Measurements of braking distance at varying initial speeds initial speed (m/s) distance (m) Data Set #2: Braking Distances Distance (m) d = v R² = Initial Speed (m/s) a. Independent = initial speed, Depedent = distance a. Quadratic a. Constant = s 2 /m a. Something like an inverse of acceleration; will be a constant dependent on the force applied by the brakes and the mass of the car. (specifically, mass/force)
5 Data Set #3: Measurements of pressure and volume of a balloon at constant temperature pressure (kpa) volume (dm 3 ) Volume (dm 3 ) Data Set #3: Pressure and Volume V = P R² = Pressure (kpa) a. Independent = pressure, dependent = volume a. Indirect a. kpa*dm 3 a. By comparison with the ideal gas law, PV = nrt, the constant is proportional to nrt, and would equal it if we converted volume to m 3 and pressure to Pa.
6 Data Set #4: Measurements of radioactivity at increasing distances emanating from a single radioactive source Radioactivity (Bq) Distance (m) Data Set #4: Radioactivity Radioactivity (Bq) R = d R² = Distance (m) a. Independent variable = distance, dependent variable = radioactivity a. Inverse Square a is in Bq*m 2. a. This will be a property of the emitting source, related to its half life.
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