The magnitude M of an earthquake is related to the energy E that it releases. The formula is M = log E + 7.5 1.5. Here the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the energy produced by burning one million cubic feet of natural gas. (a) What is the magnitude of a 50-terajoule earthquake? Round your answer to one decimal place b) On January 18, 2011, a quake of magnitude 7.2 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.) (c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake from part (b)? Round your answer to the nearest whole number
The magnitude M of an earthquake is related to the energy E that it releases. The formula is M = log E + 7.5 1.5. Here the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the energy produced by burning one million cubic feet of natural gas. (a) What is the magnitude of a 50-terajoule earthquake? Round your answer to one decimal place b) On January 18, 2011, a quake of magnitude 7.2 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.) (c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake from part (b)? Round your answer to the nearest whole number
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 66SE: The intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula...
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The magnitude M of an earthquake is related to the energy E that it releases. The formula is
M =
.
log E + 7.5 |
1.5 |
Here the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the energy produced by burning one million cubic feet of natural gas.
(a) What is the magnitude of a 50-terajoule earthquake? Round your answer to one decimal place
b) On January 18, 2011, a quake of magnitude 7.2 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.)
(c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake from part (b)? Round your answer to the nearest whole number
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