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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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...
icon
Related questions
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning