It has been stated that the vibrating earth has a resonance period of 54 min and a

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It has been stated that the vibrating earth has a resonance period of 54 min and a Q factor of about 400 and that after a large earthquake, the earth “rings” (continues to vibrate) for about 2 months.

(a) Find the percentage of the energy of vibration lost to damping forces during each cycle.

(b) Show that after n periods, the energy is En = (0.984)nE0, where E0 is the original energy.

(c) If the original energy of vibration of an earthquake is E0, what is the energy after 2 days?

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