Students are given five different springs with different spring constants k, a meter stick and a...

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Students are given five different springs with different spring constants k, a meter stick and a stopwatch. They choose to measure the period T of oscillation of an object of unknown mass hanging from each of the springs. They obtain the data in the table below. k(N/m) T(s) 25 0.902 30 0.825 35 0.771 40 40 50 50 0.729 0.646 a. What should be plotted on the vertical and horizontal axes so that the mass of the object can be calculated from the best-fit line of the linear data? Horizontal axis. Vertical axis. Justify your choices. b. Use the empty space in the table to calculate any necessary quantities and plot the data you listed in part (a) on the axes below. Clearly scale and label all axes, including units if appropriate. Draw a straight line that best fits the data points. c. Using your best-fit line, calculate the experimental value of the unknown mass. < 587 / 738 > The teacher reveals that the actual mass of the unknown is 0.500 kg. d. Calculate the percent difference between the experimental and actual values of the mass. e. The uncertainty in the spring constant of each spring is 10% and the uncertainty in the period of each oscillation is 0.007 s. Based on this information, is the experimental value obtained for the mass of the object the same as the actual value to within the limits of precision of the measurements? Justify your response. f. Briefly describe another experiment students could do with the same equipment to determine the unknown mass of the object. Include a diagram of what students should measure and how students should analyze the data to obtain a value for the mass. Stewart et al., College Physics for the AP Physics 1 Course, 2e, 2019 W. H. Freeman and Company 587 / 738 > Students are given five different springs with different spring constants k, a meter stick and a stopwatch. They choose to measure the period T of oscillation of an object of unknown mass hanging from each of the springs. They obtain the data in the table below. k(N/m) T(s) 25 0.902 30 0.825 35 0.771 40 40 50 50 0.729 0.646 a. What should be plotted on the vertical and horizontal axes so that the mass of the object can be calculated from the best-fit line of the linear data? Horizontal axis. Vertical axis. Justify your choices. b. Use the empty space in the table to calculate any necessary quantities and plot the data you listed in part (a) on the axes below. Clearly scale and label all axes, including units if appropriate. Draw a straight line that best fits the data points. c. Using your best-fit line, calculate the experimental value of the unknown mass. < 587 / 738 > The teacher reveals that the actual mass of the unknown is 0.500 kg. d. Calculate the percent difference between the experimental and actual values of the mass. e. The uncertainty in the spring constant of each spring is 10% and the uncertainty in the period of each oscillation is 0.007 s. Based on this information, is the experimental value obtained for the mass of the object the same as the actual value to within the limits of precision of the measurements? Justify your response. f. Briefly describe another experiment students could do with the same equipment to determine the unknown mass of the object. Include a diagram of what students should measure and how students should analyze the data to obtain a value for the mass. Stewart et al., College Physics for the AP Physics 1 Course, 2e, 2019 W. H. Freeman and Company 587 / 738 >