Analysis 1. Consider the equation for centripetal force. If you are investigating the relationship between force and mass, what would be an appropriate fitting function, and why? 2. Make a scatter plot of Force vs. Mass and use the fitting function you identified in the previous question to make a trendline. Place the plot, along with the equation used for the fit, below, Be sure the plot axes are properly labeled: 3. Does the Force vs. Mass plot follow the expected trend? Explain: 4. Use the fit to find 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 below: Post-Lab Questions 1. Summarize the findings of Experiments I and II. In a paragraph for each experiment, clearly (a) explain the relationship between centripetal force, mass, and rotation speed and (b) state the derived values from the fits (of slope and intercept, as they are relevant to the equations) and how they support your explanation in (a). 2. (a) Explain why it was useful to make a plot of the logarithms of force and speed for Experiment 1. (b) Why was this not necessary for Experiment 2? 3. (a) Determine whether the values of r you found from your fits were larger or smaller than the values found using the calipers. (b) State one possible source of error that would make the "rotational" value of r bigger or smaller (whichever was actually observed) than the "calipers" value, and explain why