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Experiment 1: Hanging Mass Lab Results 1. Use the table below to record your data and calculations. For this table, m is the mass of the hanging weight, F is the force of gravity, mg, on the hanging weight, Xfinal is the stretched length of the spring, and Ax is the difference between Xfinal and the rest length Xinitial- Convert your measurements to the indicated units. m (kg) F (N) Xfinal (m) - (xinitial) 0.100 1.50 1.50-1.45=0.05 0.200 1.55 1.55-1.45=0.1 0.300 1.60 1.60-1.45=0.15 0.400 1.64 1.64-1.45=0.19 0.500 1.68 1.68-1.45=.23 0.600 1.74 1.74-1.45=,29 Data Analysis 2. Ceate and save a graph of F (y-axis) versus Ax (x-axis) from the table above. Click the graphing icon to create your graph W Click the box underneath the graph to show the trendline and press Save graph. It will automatically calculate your slope and intercept. What is the spring constant, k, of the spring? Experiment 2: Oscillating Mass Lab Results 1. Use the table below to record your data and calculations. Be sure to express your answer using the correct units. For this table, m is the mass on the hanger and t is the time required for 10 oscillations. m (kg) t (s) 0.100 4.9 0.200 6.45 0.300 7.75 0.400 8.86 0.500 9.86 0.600 10.75 Data Analysis 2. From the data in the table above, fill in the table below with the period, T, and spring constant, k. Remember that t was the time for 10 oscillations, so the period, T, is equal to t/10 and that k is expressed as follows. k = 4r²²m T 2 m (kg) T (s) k (N/m) 0.100 0.200 0.300 0.400 0.500 0.600 3. Estimate the spring constant k of the spring by taking the average of the values calculated from your data. Conclusions 1. Compare the spring constant values you obtained from Experiments 1 and 2, and discuss the reasons for any discrepancy. What was the period of the spring's oscillation when a 500 g mass was added? To find the period, divide the total time by the number of oscillations. Choose the closest answer. Using your data from Experiment 2, calculate the spring constant (k) of the spring using the period you calculated for an added mass of 500 g. Choose the closest answer. k A spring extends 1.5 m when a 0.80 kg mass is hung from it. Which of the following values is closest to the spring constant (k) of the spring? F = kAx A 64.0 kg bungee jumper leaps from a bridge. The spring constant k of the bungee cord is 16.0 N/m. What will be the period of his oscillation as he bounces up and down on the bungee cord? T = 2nt V m k Suppose you were to take the spring from this lab to Jupiter where gi - 24.79 m/s2. How would this affect the period of oscillation of the spring?

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