On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthquake measured in joules, and Eo is the energy released by a very small reference earthquake. Eo has been standardized to 10^4.4 joules.Part AThe earthquake in Haiti in 2010 released 2.0*10^15 joules. What was its magnitude on the Richter scale?Part BIf the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading of the larger earthquake than the smaller?
Accepted Solution
A:
Answer:See belowStep-by-step explanation:Part AFormulaM = 2/3 * log(E/Eo)GivensM = ??E = 2 * 10^15 joulesEo = 10^4.4SolutionM = (2/3) * log(2 * 10^15 / 10^4.4)M = (2/3 ) log (7.96 * 10 ^ 11)M = (2/3) * 11.901M = 7.934Part BWhat the question is saying is that E/Eo = 10000 You don't have to figure out exact values.M = 2/3 * log(10000)M = 2/3 * 4M = 8/3 or 2 2/3 or 2.66667If you have choices, please list them.