Dynamic Final Data (Red Spring): M' M n t T 1000 g losog 25 32. 8 s / 1. 31 1. 72. 800 g 8sog 25 29. 7 35 1 . 19 1 . 42 600 g 650g 25 26. 1 15 1. 04 1. 08 400 g 4509 25 21. 8 15 0.872 0. 760 200 g 250g 25 16. 29 s 0 . 644 0. 415 Dynamic Final Data (Blue Spring): M' M T T2 1200 g 1000 g 800 g 600 g 400 % Dynamic Calculations: Slope S= 0. 001635 5/9 Error on Slope AS = + 12. 102 x 10Static Data Analysis: (1) Find the static spring constant k, from the slope S' of your M vs x plot, using equation (C). Show your calculations. (2) Determine A k, using the uncertainty AS' in the slope of your M vs x plot. Hint: apply Rule 1 for combining errors. (3) Write the result of your static measurement here: K, + Aks = Dynamic Data Analysis: (1) What type of function provided a good fit to your data? (2) Calculate ka by using the slope of the computer generated T vs M graph and equation (F). (3) Calculate A k, from the error AS in the slope. Hint: apply Rule 3 for combining errors. (4) Record the final value of ka + A ka using correct significant digits and units.Review Questions: (1) What does the x-intercept of the static graph represent? (2) Why should n be large enough to get timing runs t of at least 20 s, rather than runs of a just few seconds? (3) What do your graphs of T vs M and T' vs M tell you about the dependence of the period T on the total applied mass M? (4) Does the dynamic stiffness ka of your spring appear to be constant over the range of your measurements? What aspect of the graph suggests this? (5) Do your values of k, and kj agree? If they disagree, what factor(s) may have caused the observed difference? (6) The accepted value of the spring constant for the Red spring is k = 25 N/m + 5% and for the Blue spring is k = 30 N/m + 5%. Do your measurements agree with the accepted value' What is the percent difference?Static Final Data (Red Spring): Unloading Loading M X M' M X M 10sog 85. 01 em 200 g 250g 53. 1 Cm 1000 g 8 50 9 717. 1 cm 400 g 300 g uSog 6 1. 2 cm 600 g 600 g 6 509 69. 1 cm 6509 69. 2 (m 400 g 450g 61. 2 cm 800 g 650g 771.0 cm 200 g 250 g 53. 1 cm 1000 g 10Sog 85. 1 (m Static Final Data (Blue Spring): Unloading Loading M' M X M' M X 1200 g 400 g 1000 g 600 g 800 g 800 g 600 g 1000 g 400 g 1200 g Static Calculations: Slope S' = 25. 16 9/ cm Error on Slope AS' = + 0. 05365 9/ cm