A) If the initial amplitude is 7.00cm, what will be the amplitude after 31.0 oscillations?© BrainMass Inc. brainmass.com June 3, 2020, 10:18 pm ad1c9bdddf
After a the first period the amplitude will be A(1) = A(0)*0.977
After the second period the amplitude will be A(2) = A(1)*0.977 = A(0)*0.977^2
It is easy to see that after N periods, the amplitude will be A(N) = A(1)*0.977^N
In our case, N=31 and A(0)=7cm
Thus, after 31 ...
This solution solves for an oscillator's amplitude and the time that its energy will be reduced to 65% of its initial value.