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(3) Analyze the best-fit line. (Express answers to 3 sig. figs. whenever applicable) i. (log10)= (log10m)+ ;R2= [6] ii. Spring constant k= N/m[1] (4) Analyze the damped oscillator. i. Calculate the total energy Ei and lnEi from the data (remember to use the natural logarithm, which is the function LN in Excel; express answers to 3 sig. figs. ii. Find the best-fit line of lnE vs. t. (Express answers to 3 sig. figs.) lnE= t+ ;R2= [3] iii. Characteristic dissipation rate = 1/s [1]. and R2 in Pre-lab. ii. From the best-fit line, find the spring constant k. (4) In an experiment on a damped spring oscillator with spring constant k=15.3N/m, Student C obtains the displacement vs time curves as in Fig. 2(a), and records the maximum displacement data points as below. i. Use Eq. (9) to calculate the total energy Ei and its natural logarithm lnEi from the data. ii. Use EXCEL to find the best-fit line of lnE vs. t. Record the slope, y-intercept, and R2 in Pre-lab. iii. From the best-fit line, find the characteristic dissipation rate . (3) Analyze the best-fit line. (Express answers to 3 sig. figs. whenever applicable) i. (log10)= (log10m)+ ;R2= [6] ii. Spring constant k= N/m[1] (4) Analyze the damped oscillator. i. Calculate the total energy Ei and lnEi from the data (remember to use the natural logarithm, which is the function LN in Excel; express answers to 3 sig. figs. ii. Find the best-fit line of lnE vs. t. (Express answers to 3 sig. figs.) lnE= t+ ;R2= [3] iii. Characteristic dissipation rate = 1/s [1]. and R2 in Pre-lab. ii. From the best-fit line, find the spring constant k. (4) In an experiment on a damped spring oscillator with spring constant k=15.3N/m, Student C obtains the displacement vs time curves as in Fig. 2(a), and records the maximum displacement data points as below. i. Use Eq. (9) to calculate the total energy Ei and its natural logarithm lnEi from the data. ii. Use EXCEL to find the best-fit line of lnE vs. t. Record the slope, y-intercept, and R2 in Pre-lab. iii. From the best-fit line, find the characteristic dissipation rate