Data: Mass of free mass holder = 4.3g Average radius of rotation r = 6.7 cm Speed (m/s) Force (N) 2.19 0.70 2.03 0.613 2.06 0.650 2.50 1.27 1.64 0.298 2.89 1.767 We will use two approaches to analyze the first experiment: (1) create a plot of Force vs. Speed, and fit with a "Power Series" trendline of the formy Axb; (2) take the log of both Force and Speed and fit with a linear trendline (y = mx + b). Be sure all your answers are in blue. = 1. Consider the equation that relates centripetal force to tangential speed. Relate this to the equation that you will use for the fit, y = Axb. (a) What will the variable A represent? (b) What do you expect to be the value of b? a). 2. Create a scatter plot of Force vs. Speed and add the "Power Series" trendline. 1 Place the plot, along with the equation used for the fit, below. Be sure the plot axes are properly labeled: Centripetal Force Group... 3. Did b have the expected value? State your findings and calculate a % error for b: 4. Use the fitted value of A to determine an experimental value for r. Show your work below: 5. Compare the value of r you found in the previous step with the measured value from the calipers and find a % difference between these values. Show your work and answer below: 6. Create columns in the spreadsheet for the log of force as well as log of speed. Populate these columns using "=log()". Below, show that taking the logarithm of both sides of the centripetal force equation "linearizes" it (makes the equation take the form y = mx + b).