Word problems

Just change the wording exactly as I said. Nothing was wrong except for talking about the "intensity of the bridge". Give it a try and we'll tell you if you're right.

Well, actually, there's no bridge in the problem at all, so change "bridge" to "building". Your final answer in #17 was fine!
 
Dr.Peterson said:
Just change the wording exactly as I said. Nothing was wrong except for talking about the "intensity of the bridge". Give it a try and we'll tell you if you're right.

Well, actually, there's no bridge in the problem at all, so change "bridge" to "building". Your final answer in #17 was fine!
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The building at Denali can withstand a quake of magnitude 6.7.
The building at Rat Islands can withstand a quake of magnitude 7.8.
The building is strong enough to withstand an earthquake 70 times as intense as the Denali quake and 30 times as intense as the Rat Islands quake.
Using the formula, M = log I, where M is the magnitude and I is the intensity.
M= log I is the same as I = 10^M
Denali intensity is 10^6.7 = 5011872.33627
Multiplying Denali’s intensity by 70 we get 70 * 5 million or 350831063.539 for the intensity of the new Denali building.
And Rat Islands intensity is 10^7.8 = 63095734.448
Multiplying Rat Islands intensity by 30 for the new building we get 10^7.8 * 30 = 1892872033.44
So the intensity of the new Rat Islands building is greater than the intensity of the new Denali building.


Then work out the magnitudes of each to compare what the structures would withstand using M = log I with each intensity answer

Compare 70 x I for D and 30 x I for RI
70 * 350831063.539 = 24558174447.7
30 *1892872033.44 = 56786161003.2

Solution: The building in Rat Islands can withstand a higher magnitude of quake.
 
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