2. The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a "standard earthquake." How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

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Mathematics

30 April, 02:15

2. The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a "standard earthquake." How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

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Answers (1)

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Randall Davis · Answer 1

M=log I / S

if M=6, 6=logI/S and then 10^6=I/S, so we get I=S x 10^6, we assume that

A=S x 10^6

if M=8, so, 8=logI/S and then 10^8=I/S, so we get I = S x 10^8=A=S x 10^6x10^2

since A=S x 10^6, so I = A x10^2, an earthquake with a magnitude of 8 is 10² stronger than an earthquake with a magnitude of 6.