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(c) The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale. Express this reading in terms of I_(0). A Richter scale rating of 6.3 expressed in terms of I_(0) is 2,000,000I_(0). (Round to the nearest million.) (d) The magnitude of a second earthquake measured 8.8 on the Richter scale. Express the magnitude of an 8.8 reading in terms of I_(0). A Richter scale rating of 8.8 expressed in terms of I_(0) is 6.31*10^(8)I_(0). (Use scientific notation. Round to two decimal places as needed.) (e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake? The force of the second earthquake was 316 times greater than the force of the first earthquake. (Round to the nearest whole number as needed.) (f) The relationship between the energy E of an earthquake and the magnitude on the Richter scale is given by the formula R(E)=(2)/(3) log ((E)/(E_(0))), where E_(0) is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes. The energy of the second earthquake was times greater than the energy of the first earthquake. (Do not round until the final answer. Then round to the nearest whole number as needed. c The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale.Express this reading in terms of lo A Richter scale rating of 6.3 expressed in terms of Io is 2,000,000 lo (Round to the nearest million.) d The magnitude of a second earthquake measured 8.8 on the Richter scale.Express the magnitude of an 8.8 reading in terms of lo A Richter scale rating of 8.8 expressed in terms of lo is 6.31.108 lo (Use scientific notation.Round to two decimal places as needed. e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake? The force of the second earthquake was 316 times greater than the force of the first earthquake. (Round to the nearest whole number as needed.) ,wher Eo is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes The energy of the second earthquake was times greater than the energy of the first earthquake. (Do not round until the final answer. Then round to the nearest whole number as needed.)

          (c) The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale. Express this reading in terms of I_(0).
A Richter scale rating of 6.3 expressed in terms of I_(0) is 2,000,000I_(0).
(Round to the nearest million.)
(d) The magnitude of a second earthquake measured 8.8 on the Richter scale. Express the magnitude of an 8.8 reading in terms of I_(0).
A Richter scale rating of 8.8 expressed in terms of I_(0) is 6.31*10^(8)I_(0).
(Use scientific notation. Round to two decimal places as needed.)
(e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake?
The force of the second earthquake was 316 times greater than the force of the first earthquake.
(Round to the nearest whole number as needed.)
(f) The relationship between the energy E of an earthquake and the magnitude on the Richter scale is given by the formula R(E)=(2)/(3) log ((E)/(E_(0))), where
E_(0) is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes.
The energy of the second earthquake was times greater than the energy of the first earthquake.
(Do not round until the final answer. Then round to the nearest whole number as needed.
c The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale.Express this reading in terms of lo
A Richter scale rating of 6.3 expressed in terms of Io is 2,000,000 lo (Round to the nearest million.)
d The magnitude of a second earthquake measured 8.8 on the Richter scale.Express the magnitude of an 8.8 reading in terms of lo
A Richter scale rating of 8.8 expressed in terms of lo is 6.31.108 lo (Use scientific notation.Round to two decimal places as needed. e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake? The force of the second earthquake was 316 times greater than the force of the first earthquake. (Round to the nearest whole number as needed.)
,wher
Eo is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes
The energy of the second earthquake was times greater than the energy of the first earthquake. (Do not round until the final answer. Then round to the nearest whole number as needed.)
        
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c the magnitude of the first earthquake in a certain year measured 63 on the richter scale express this reading in terms of i0 a richter scale rating of 63 expressed in terms of i0 is 2000 76495

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(c) The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale. Express this reading in terms of I_(0). A Richter scale rating of 6.3 expressed in terms of I_(0) is 2,000,000I_(0). (Round to the nearest million.) (d) The magnitude of a second earthquake measured 8.8 on the Richter scale. Express the magnitude of an 8.8 reading in terms of I_(0). A Richter scale rating of 8.8 expressed in terms of I_(0) is 6.31*10^(8)I_(0). (Use scientific notation. Round to two decimal places as needed.) (e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake? The force of the second earthquake was 316 times greater than the force of the first earthquake. (Round to the nearest whole number as needed.) (f) The relationship between the energy E of an earthquake and the magnitude on the Richter scale is given by the formula R(E)=(2)/(3) log ((E)/(E_(0))), where E_(0) is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes. The energy of the second earthquake was times greater than the energy of the first earthquake. (Do not round until the final answer. Then round to the nearest whole number as needed. c The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale.Express this reading in terms of lo A Richter scale rating of 6.3 expressed in terms of Io is 2,000,000 lo (Round to the nearest million.) d The magnitude of a second earthquake measured 8.8 on the Richter scale.Express the magnitude of an 8.8 reading in terms of lo A Richter scale rating of 8.8 expressed in terms of lo is 6.31.108 lo (Use scientific notation.Round to two decimal places as needed. e) Compare your answers to parts (c) and (d). How much greater was the force of the second earthquake than the first earthquake? The force of the second earthquake was 316 times greater than the force of the first earthquake. (Round to the nearest whole number as needed.) ,wher Eo is the energy of a certain small earthquake. Compare the energies of the second and first earthquakes The energy of the second earthquake was times greater than the energy of the first earthquake. (Do not round until the final answer. Then round to the nearest whole number as needed.)
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The Richter scale is used to measure the intensity of earthquakes. The Richter scale rating of an earthquake is given by the formula R = 2/3(log(E) - 11.8), where E is the energy released by the earthquake (measured in ergs). (a) The San Francisco earthquake of 1906 is estimated to have registered R = 7.9 on the Richter scale. How many ergs of energy were released? (Round the significand, or coefficient of the scientific notation to three decimal places.) (b) The Japan earthquake of 2011 registered 9.0 on the Richter scale. Compare the two: The energy released in the 1906 earthquake was what percentage of the energy released in the 2011 quake? (Round your answer to two decimal places.) (c) Solve the equation given above for E in terms of R. (d) Use the result of part (c) to find the ratio of two earthquakes registering R1 and R2 on the Richter scale, assuming they release E1 and E2 ergs of energy, respectively. (Simplify your answer completely. Enter your answer in terms of R1 and R2 only.) (e) Fill in the blank. If one earthquake registers 2 points more on the Richter scale than another, then it releases ______ times the amount of energy.

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The Richter scale is used to measure the intensity of earthquakes. The Richter scale rating of an earthquake is given by the formula $$ R=\frac{2}{3}(\log E-11.8) $$ where $E$ is the energy released by the earthquake (measured in ergs ${ }^{34}$ ). a. The San Francisco earthquake of 1906 registered $R=8.2$ on the Richter scale. How many ergs of energy were released? b. In 1989 another San Francisco earthquake registered $7.1$ on the Richter scale. Compare the two: The energy released in the 1989 earthquake was what percentage of the energy released in the 1906 quake? c. Solve the equation given above for $E$ in terms of $R$. d. Use the result of part (c) to show that if two earthquakes registering $R_{1}$ and $R_{2}$ on the Richter scale release $E_{1}$ and $E_{2}$ ergs of energy, respectively, then $$ \frac{E_{2}}{E_{1}}=10^{1.5\left(R_{2}-R_{1}\right)} $$ e. Fill in the blank: If one earthquake registers 2 points more on the Richter scale than another, then it releases times the amount of energy.

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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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Transcript

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00:01 Okay on this question you got most all of it right except you missed parts c and d so we're gonna look at part c part c says to isolate e in this equation so i'm gonna have to get e by itself.
00:18 So let me write it down one more time and we'll get started okay the first thing i need to do is get rid of that two -thirds that's multiplied by that parentheses to get rid of a two -thirds it's multiplied you divide by two -thirds, which is the same as multiplying by three halves and you know what you do on one side you do on the other side so right now i've got three halves are equals and this cancels log e minus 11 .8.
00:57 Alright, so now i'm going to add 11 .8 to both sides to get rid of that one and i've got three halves are plus 11 .8 equals log e now, you know that when there's not a base, you know it's base 10 and a logarithm is equal to the power.
01:22 So this is the power this is your base and e is what it's equal to so e is equal to 10 to the 3 halves are plus 11 .8 that whole thing is your power okay, so that's what c's should be now we're going to answer d but i'm going to erase this where i'll have a lot plenty of space.
01:52 I'll be right back okay on this question you okay...
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