ll T-Mobile 7:16 PM * 61% X extra credit problem (unit 3) summ MATH 117 EXTRA CR

Question

ll T-Mobile 7:16 PM * 61% X extra credit problem (unit 3) summ MATH 117 EXTRA CREDIT Due at the beginning of Unit 3 test Late submissions will not be accepted The Richter Scale. In 1935 the American geologisd Charkes Richter (1900-1984) defined the magnitude M of an earthquake to be log where I is the intewsity of the carthquoke (Mcasured by the amplitude ofa seismograph reading taken 100Km from the epicenter of the earthquake. And S is the intensity of a "standand" earthquake (whose amplinude is 1 microe-10em The magnitude of a standard earthquake is (1) (14 points) The 1906 carthquake in San Francisco had an estimated magnitude of 8.3 on the Richter scale. In the same year the stronpest earthquake ever rccondod occurred on the Colombia-Ecuador borde and was four times as intense. What was the magnitude of the Colombia-Ecuador carthquake en the Richter scale? (2) (9 points) The 1989 Loma Pricta carthquake that shook San Francisco had a magnitade of 7.1 on the Richter scale. How many times more intense was the 1906 earthquake (see peoblem 1 above) than the 1989 even? Attach intructions to your work. Open With Print

Explanation / Answer

M=log(I/S)

a. 8.3=log(I/S)

M=log(4I/S)

subtracting both equationd

8.3-M=log(I/S)-log(4I/S)

8.3-M=log[(I/S)/(4I/S)]

8.3-M=log(1/4)

8.3-M=-0.6

M=8.9

part 2

8.3=log(I1/S)

7.1=log(I2/S)

Subtracting the equations

8.3-7.1=log[(I1/S)/(I2/S)]

101.2=I1/I2

I1= 1.6I2

So the earthquake of part 1 is 1.6 times more intense as compared to earthquake of part 2.

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