document.write( "Question 65623This question is from textbook Algebra & trigonometry
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document.write( ": Two earthquakes differ by 1.0 when measured on the richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter? How do their intensities compare? \n" );
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Algebra.Com's Answer #46364 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two earthquakes differ by 1.0 when measured on the richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter? How do their intensities compare? \n" ); document.write( "---------- \n" ); document.write( "Assume one of the earthquakes has magnitude M and the other has magnitude M+1. \n" ); document.write( "Then M=10log(P/Po) where Po is the minimum detectable earthquake power. \n" ); document.write( "Then M/10= log(P/Po) \n" ); document.write( "Then P/Po=10^(M/10) \n" ); document.write( "And P=Po[10^(M/10)] \n" ); document.write( "Note: P is the Power of the earthquake whose Ricter measurement is M. \n" ); document.write( "---------------- \n" ); document.write( "For the 2nd earthquake: \n" ); document.write( "M+1=10log(P/Po) \n" ); document.write( "(M+1)/10=log(P/Po) \n" ); document.write( "P/Po=10^[(M/10)+1/10] \n" ); document.write( "P=Po[10^(M/10}*(10^(1/10) \n" ); document.write( "P=Po[10^(M/10)]*1.25 \n" ); document.write( "------------ \n" ); document.write( "So the 2nd earthquake is 1.25 times as powerful as the 1st. \n" ); document.write( "That means the 2nd is 25% stronger than the 1st. \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |