"The earthquake with a magnitude 8 releases a million times more energy than an earthquake with magnitude 4."
Assess the accuracy of this statement. Explain your answer in mathematical terms.© BrainMass Inc. brainmass.com September 27, 2022, 5:00 pm ad1c9bdddf
SOLUTION This solution is FREE courtesy of BrainMass!
The energy in an earthquake is approximately proportional to 10^(3M/2) where M is the magnitude.
For M = 8, E is approximately proportional to 10^(3x8/2) = 10^12
For M = 4, E is approximately proportional to 10^(3x4/2) = 10^6
Dividing (M = 8) / (M = 40 gives an energy ratio of (10^12) / (10^6) = 10^6 which is a million times more for M =8 compared to M =4.© BrainMass Inc. brainmass.com September 27, 2022, 5:00 pm ad1c9bdddf>