Question: Consider the equation M w = 2/3 log 10 E 10.7, relating the moment magnitude of an earthquake and the energy E (in ergs)

Consider the equation M_w= 2/3 log₁₀E − 10.7, relating the moment magnitude of an earthquake and the energy E (in ergs) released by it.
(a) Express E as a function of M_w.
(b) Show that when M_wincreases by 1, the energy increases by a factor of approximately 31.6.
(c) Compute dE/dM_w.

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Solving M log10 E 107 for E yields 3 log10 E Mw 107 b Using the res... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

The moment magnitude scale is used by seismologists to express the sizes of earthquakes. The scale is calculated using the formula where S is the seismic moment in dyne cm. a. Find the magnitude of...

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Consider the equation Mw = 2/3 l o g 10 E 10.7 relating the moment magnitude of an earthquake and the energy E (in ergs) released by it. (a) Express E as a function of Mw (b) Show that when Mw...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

space weather PLEASE HELP ME use MATLAB NO REFERENCE 1.1 Free Space Maxwell's equations describe the behavior of electromagnetic fields and their interaction with mat- ter. They are one of the major...

answer all For a floating-point implementation with p = 4, = 10, explain the round to even method of rounding using the half-way cases 7.3125, 7.3175 as examples. To illustrate how their modes of...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

What is relative purchasing power parity?

Define capital market, and explain the roles debt and equity play in capital markets.

Question content area top Part 1 You invest $ 1 1 , 8 4 0 in stock and receive $ 1 3 1 , $ 1 4 2 $ 1 5 3 , and $ 1 7 6 in dividends over the following 4 4 years. At the end of the 4 4 years , you...

As of December 31, 2004, Stoneland Corpora- tion has assets of $3,500 and stockholders' equity of $2,000. What are the liabilities for Stoneland Corporation as of December 31, 2004? (a) $1,500. (c)...

Problem requires the following discussion of a secant line. The slope of the secant line containing the two points (x, f (x)) and (x + h, f (x + h)) on the graph of a function y = f(x) may be given...

Suppose that the graph of a function f is known. Explain how the graph of y = f(x) - 2 differs from the graph of y = f(x - 2).

If f(x) = 2x - A/x - 3 and f(4) = 0, what is the value of A? Where is not defined?

Exercise 7 : Which file contains information that answers questions about cybersecurity?

please answer, and explain each part If you have $500 yourself, what does y=1.1 mean for a portfolio with P and F

What happens when we place the authentication system in our demilitarized zone (DMZ)that is, in the layer closest to the Internet? What do we have to do to protect the authentication system? Does...