# Math

Are the answers correct?

The Richter scale is used to measure the intensity of an earthquake. If E, measured in joules, is the energy released during an earthquake, then the magnitude is given by,

M = 2/3 log(E/E_0)
Where E_0 = 10^4.4 joules

1. If 8 x 10^14 joules of energy are released during an earthquake, what is the magnitude of the earthquake?

answer: M = 2/3 log_10((8×10^14)/(1×10^4.4)) =~7 - Magnitude on the Richter scale

2. How much energy will be released in an earthquake with a magnitude of 5.9?

Answer: 5.9 = 2/3 log_10(P/(1×10^4.4))
P = 1.77828×10^13
- Joules - the amount of energy released in a 5.9 Magnitude earthquake.

1. 👍 0
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3. 👁 137
1. first one around 2/3 of around 11 which is around 7, ok

9 = log (about 10^9 )check

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posted by Damon

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