During the 1950's, scientists devised an experimental formula relating the energy E (in ergs) of an earthquake or explosion to the Richter scale magnitude M of the occurrence. The formula that arose is log E = 11.4 + 1.5M During the Gulf War of 1991, the United Nations forces used explosives amounting to 90 kilotons. Using the fact that a kiloton of explosives releases approximately 1020 ergs of energy, determine the magnitude M of an earthquake that would release the same amount of energy.
During the 1950's, scientists devised an experimental formula relating the energy E (in ergs) of an earthquake or explosion to the Richter scale magnitude M of the occurrence. The formula that arose is log E = 11.4 + 1.5M During the Gulf War of 1991, the United Nations forces used explosives amounting to 90 kilotons. Using the fact that a kiloton of explosives releases approximately 1020 ergs of energy, determine the magnitude M of an earthquake that would release the same amount of energy.
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Transcribed Image Text:During the 1950's, scientists devised an experimental
formula relating the energy E (in ergs) of an earthquake
or explosion to the Richter scale magnitude M of the
occurrence. The formula that arose is
log E = 11.4 + 1.5M
During the Gulf War of 1991, the United Nations forces
used explosives amounting to 90 kilotons. Using the fact
that a kiloton of explosives releases approximately 1020
ergs of energy, determine the magnitude M of an
earthquake that would release the same amount of
energy.
Expert Solution
Step 1
Given explosion used 90 kilotons.
And 1 kiloton released energy 1020ergs.
Therefore energy released by 90 kilotons is
E=90 X 1020ergs=9X1021ergs
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