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The magnitude of an earthquake is defined as M=log(A / A0), where A is the amplitude of the ground motion and A0 is the amplitude corrected for the distance from the actual earthquake that would be expected for a 'standard earthquake'. On March 2, 2012, an earthquake with an amplitude 105.1 times A0 was recorded in Norman Wells, North West Territories. Meanwhile, on October 12, 2012, off the shore of Haida Gwaii, British Columbia, there was another earthquake with an amplitude 107.7 times A0.

 

Algebraically determine, based on their Richter scale magnitudes, how much stronger the Haida gwaii earthquake was (to the nearest whole number).

 

Thank you.

 Jun 8, 2022
 #1
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M of first earthquake =   log 10^5.1  =   5.1

 

M of second earthquake  = log 10^7.7   = 7.7

 

Ratio of M's   =    7.7  / 5.1 =   1.509     =    about 2 times as strong based on their Richter scale magnitudes

 

cool cool cool 

 Jun 8, 2022

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