Question

Complete the sentence: A earthquake of magnitude 5 on the Richter scale .... A displaces the ground by 5 millimeters at 10 kilometers distance B is the same as a magnitude 5 on the Modified Mercalli Scale. C displaces the ground by 5 millimeters at 1 kilometer distance D releases 40 times the amount of energy as an earthquake of magnitude 4 on the Richter scale E releases 10 times the amount of energy as an earthquake of magnitude 4 on the Richter scale 

          Complete the sentence: A earthquake of magnitude 5 on the Richter scale ....
A
displaces the ground by 5 millimeters at 10 kilometers distance
B is the same as a magnitude 5 on the Modified Mercalli Scale.
C displaces the ground by 5 millimeters at 1 kilometer distance
D releases 40 times the amount of energy as an earthquake of magnitude 4 on the Richter scale
E releases 10 times the amount of energy as an earthquake of magnitude 4 on the Richter scale
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Complete the sentence: A earthquake of magnitude 5 on the Richter scale .... A displaces the ground by 5 millimeters at 10 kilometers distance B is the same as a magnitude 5 on the Modified Mercalli Scale. C displaces the ground by 5 millimeters at 1 kilometer distance D releases 40 times the amount of energy as an earthquake of magnitude 4 on the Richter scale E releases 10 times the amount of energy as an earthquake of magnitude 4 on the Richter scale

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Complete the sentence: A earthquake of magnitude 5 on the Richter scale .... displaces the ground by 5 millimeters at 10 kilometers distance is the same as a magnitude 5 on the Modified Mercalli Scale. displaces the ground by 5 millimeters at 1 kilometer distance releases 40 times the amount of energy as an earthquake of magnitude 4 on the Richter scale E. releases 10 times the amount of energy as an earthquake of magnitude 4 on the Richter scale Complete the sentence:A earthquake of magnitude 5 on the Richter scale ... displaces the ground by5 millimeters at 10 kilometers distance is the same as a magnitude 5 on the Modified Mercalli Scale displaces the ground by5 millimeters at 1 kilometer distance releases 40 times the amount of energy as an earthquake of magnitude 4 on the Richter scale releases 10 times the amount of energy as an earthquake of magnitude 4 on the Richter scale
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On the Richter scale, the magnitude, M, of an earthquake is given by M = (2/3)log(E/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 A The earthquake in Haiti in 2010 released 2.0*10^15 joules. What was its magnitude on the Richter scale?

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The Richter scale defines the magnitude of an earthquake, $M$, by the energy it releases, $E$ (measured in joules) according to $M=(-4.4+\log E) / 1.5$. (a) Find the energy released by the 1906 San Francisco earthquake, which registered $M=8.2$ on the Richter scale and devastated the city. (b) The Boxing Day Tsunami of 2004 was caused by an earthquake in the Indian Ocean that registered $M=9.1$ on the Richter scale. Find the energy released by this earthquake. (c) If the energy of one earthquake is 10 times that of another, how much greater is its magnitude on the Richter scale?

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Transcript

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00:01 This problem, to find the magnitude of the earthquake on the rectal scale, m is 2 by 3.
00:09 Log.
00:10 Note that here log means base 10, not base e...
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