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On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthquake measured in joules, and Eo is the energy released by a very small reference earthquake. Eo has been standardized to 10^4.4 joules.

Part A
The earthquake in Haiti in 2010 released 2.0*10^15 joules. What was its magnitude on the Richter scale?

Part B
If the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading of the larger earthquake than the smaller?

On the Richter scale the magnitude M of an earthquake is given by M 23logEEo where E is the energy released by the earthquake measured in joules and Eo is the e class=
On the Richter scale the magnitude M of an earthquake is given by M 23logEEo where E is the energy released by the earthquake measured in joules and Eo is the e class=

Respuesta :

jcherry99

Answer:

See below

Step-by-step explanation:

Part A

Formula

M = 2/3 * log(E/Eo)

Givens

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

Solution

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

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