(b) The magnitude M of an earthquake on the Richter scale is given by log M = Eo whereE is the energy, measured in Joules, released by the earthquake and Eo 104.40J. %3D (1) If an earthquake releases 5.96 x 1016 J of energy, what is its magnitude on the Richter scale? (ii) Two earthquakes have Richter scale readings M,-Bog (금)and-og() %3D %3D Given that E = 1000E2, show that M1- M = 2 %3D %3D (iii) Show that M =log ) can be written as log(E) = 4.4+1.5M. %3D

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter17: Traveling Waves
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(b) The magnitude M of an earthquake on the Richter scale is given by
2
M = log
Eo
whereE is the energy, measured in Joules, released by the earthquake and Eo = 10*40J.
(1) If an earthquake releases 5.96 x 1016 J of energy, what is its magnitude on the
Richter scale?
(ii) Two earthquakes have Richter scale readings
and/
%3D
Given that E
= 1000E2, show that M - M2 = 2
%3D
%3D
(iii) Show that M =log E)
can be written as log(E) = 4.4 + 1.5M.
%3D
Transcribed Image Text:(b) The magnitude M of an earthquake on the Richter scale is given by 2 M = log Eo whereE is the energy, measured in Joules, released by the earthquake and Eo = 10*40J. (1) If an earthquake releases 5.96 x 1016 J of energy, what is its magnitude on the Richter scale? (ii) Two earthquakes have Richter scale readings and/ %3D Given that E = 1000E2, show that M - M2 = 2 %3D %3D (iii) Show that M =log E) can be written as log(E) = 4.4 + 1.5M. %3D
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