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Reminder Round all answers to two decimal places unless otherwise indicated.
Magnitude and Energy The magnitude
Here the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting
a.What is the magnitude of a
b.On September 24, 2013, a quake of magnitude
c.The atomic bomb dropped on Hiroshima released about
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Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term
- Richter Scale The Richter scale provides a measure of the magnitude of an earthquake. In fact, the largest Richter number M ever recorded for an earthquake was 8.9 from the 1933 earthquake in Japan. The following formula shows a relationship between the amount of energy released and the Richter number. M=23logE0.007, Where E is measured in kilowatt-hours. Source: Mathematics Teacher. a. For the 1933 earthquake in Japan, what value of E gives a Richter number M=8.9?. b. If the average household uses 247 kWh per month, how many months would the energy released by an earthquake of this magnitude power 10 million household? c. Find the rate of change of the Richter number M with respect to energy when E=70,000 kWh. d. What happens to dM/dE as E increases?arrow_forwardEarthquake Intensity The magnitude of an earthquake, measured on the Richter scale, is given by RI=logII0, where I is the amplitude registered on a seismograph located 100 Km from the epicenter of the earthquake, and I0 is the amplitude of a certain small size earthquake. Find the Richter scale ratings of earthquakes with the following amplitudes. a. 1,000,000I0 b. 100,000,000I0 c. On June 15,1999, the city of Puebla in central Mexico was shaken by an earthquake that measured 6.7 on the Richter scale. Express this reading in terms of I0. Source: Exploring Colonial Mexico. d. On September 19,1985, Mexicos largest recent earthquake, measuring 8.1 on the Richter scale, killed about 10,000 people. Express the magnitude of an 8.1 reading in terms of I0.Source: History.com. e. Compare your answers to part c and d. How much greater was the force of the 1985 earthquake than the 1999 earthquake? f. The relationship between the energy E of an earthquake and the magnitude on the Richter scale is given by RE=23logEE0, where E0 is the energy of a certain small earthquakes. Compare the energies of the 1999 and 1985 earthquakes. g. According to newspaper article, "Scientists say such an earthquake of magnitude 7.5 could release 15 times as much energy as the magnitude 6.7 trembler that struck the Northbridge section of Los Angeles" in 1994.Source: The New York Times. Using the formula from part f, verify this quote by computing the magnitude of an earthquake with 15times the energy of a magnitude 6.7 earthquake.arrow_forwardThe intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula logI1I2=M1M2 where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hitHonshu, Japan. In March 2011, that same regionexperienced yet another, more devastating earthquake, this time with a magnitude of 9.0.[23] Haw many timesgreater was the intensity of the 2011 earthquake?Round to the nearest whole number.arrow_forward
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