Question

A group of StarFleet Academy students, in a physics lab located on a planet in a foreign solar system, studied the period of a vertically suspended spring as a function of the mass attached to the spring. They set up their apparatus so that they could observe the period of oscillation for small displacements from the equilibrium position.

(a) For a hanging mass of 0.180 kg, they observed the square of the average period, T², of 0.612 s². From this one data point, determine the dynamic spring constant for this spring, in N/m.

11.61 N/m


(b) Their complete set of experimental data is shown in the table below:

Mass (kg)	T2 (sec2)
0.0450	0.138
0.0900	0.320
0.135	0.415
0.180	0.612
0.225	0.692
0.270	1.00
0.315	1.17

Use a spreadsheet program to plot the square of the average period, T² as a function of the hanging mass (in kg). Choose your scales sensibly and be sure to label your axes. Also, add a linear trendline to your graph and make sure that the fitting results show on the plot.  

(c) Determine from the fit to the data the best-fit value for the dynamic spring constant k, in N/m.

k_experimental= _____N/m

(d) If the known value for the dynamic spring constant is 12.2 N/m, determine the percent difference between that known value and the experimental result.

Percent Difference = ____%

Bolded questions need to be answered, please.

Answer 1

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