# (Solved Homework): The magnitude, M, of an earthquake on the Richter scale is given by: M = 2/3 log E/E_0 where E is the energ…

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(Solved Homework): The magnitude, M, of an earthquake on the Richter scale is given by: M = 2/3 log E/E_0 where E is the energ…
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The magnitude, M, of an earthquake on the Richter scale is given by: M = 2/3 log E/E_0 where E is the energy released by the earthquake, and the constant, E_0 =10^4.4 Joules, is the energy of a small reference earthquake. Determine how many times more energy is released from an earthquake that registers 7.2 on the Richter scale than an earthquake that registers 5.3.

The matlab code is given below and below that output is attached.

Matlab code:

clc;
clear all;
% refrence earthquake magnitude
E_0 = 10^(4.4);
syms E;
% earthquake magnitude equation
M =(2/3*log10(E/E_0));

% Energy released when earthquake magnitude = 7.2
E_1 = double(solve(M==7.2, E))

% Energy released when earthquake magnitude = 5.3
E_2 = double(solve(M==5.3, E))

% no of times E_1 is more than E_2
times = E_1/E_2

Output:

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