A laboratory group examines whether the oscillation period of a vertical mass–spring system depends on amplitude. They record the following data for a block of fixed mass attached to the same spring. Amplitude is measured from the equilibrium position to the point of release.
Trial
Amplitude A (m)
Measured Period T (s)
1
0.030
0.70
2
0.060
0.71
3
0.090
0.73
4
0.120
0.77
(a) Plotting period versus amplitude would ideally produce what type of relationship if the period were truly independent of amplitude? Explain your reasoning without drawing the graph.
(b) Examine the data. Does the measured period appear to depend on amplitude? Support your answer with evidence from the table.
(c) Propose at least two plausible sources of experimental error or physical effects that could account for the slight trend (if any) observed in the data.
(d) Describe one modification to the experimental procedure that would provide a more definitive test of whether the period depends on amplitude.