Question

2
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 142,990 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.

Answer 1

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

$E=142990 \times 7.8\\\\=1115322$

The magnitude of claimed earthquake is 1115322 .

Answer 2

Using the earthquake intensity relation on the Ritcher scale, the magnitude of the claimed earthquake would be 13.0

Uisng the relation :

• $M_{a} - M_{b} = log(\frac{I_{a}}{I_{b}})$

• Mb = 7.8
• Intensity = 142990

Substituting the values into the equation :

$M_{a} - 7.8 = log(142990)$

$M_{a} - 7.8 = 5.1553056$

$M_{a}= 5.1553056 + 7.8$

$M_{a} = 12.955$

Therefore, the magnitude of the claimed earthquake would be 13.0

Learn more : https://brainly.com/question/15948176