Answer:
Determine the spring constant from the graph.
Make a position vs. time graph for the spring’s motion.
Determine the amplitude and period of the spring’s motion from your graph.
Calculate the period of the spring’s motion using the spring’s period equation.
Determine the percent error by comparing the period from the graph (experimental value) to the calculated value (accepted value).
Answer:
a- k = (y_2 - y_1) / (x_2 - x_1)=(4.75-1.78)/(0.083-0.006)=40 N/m
b- graph
C- The maximum amplitude of displacement y = 0.1 m The time period of the displacement T_a = 2 s / 3 cycles = 0.67s
D- T_theo = 2*pi*sqrt(m/k) T_theo = 2*pi*sqrt(0.4/40) = 0.628 s
E- RE = ( T_a - T_theo) / T_theo * 100 RE = (0.67 - 0.62831) / 0.62831 * 100 = 6.63% - The value obtained is within the 10% tolerance of experimental Error. Hence, we can conclude that the experiment was conducted reasonably.
Explanation: