Check for Understanding Algebra a (2-3) Discover and Analyze Logarithms: Investigation 4 1. The formula for the magnitud

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Check For Understanding Algebra A 2 3 Discover And Analyze Logarithms Investigation 4 1 The Formula For The Magnitud 1 (188.64 KiB) Viewed 106 times

Check for Understanding Algebra a (2-3) Discover and Analyze Logarithms: Investigation 4 1. The formula for the magnitude of an earthquake is M = log A-D, where M is the magnitude, A is the amplitude in millimeters of a seismic wave produced by the earthquake, and D is the distance correction factor. Fill in the table below. Assume a distance correction factor of -2.63 for a distance of 50 km from the earthquake's epicenter, -3.00 for a distance of 100 km, -3.53 for a distance of 200 km, and -3.79 for a distance of 250 km. Round magnitudes to the nearest tenth. Distance of Sensor from Epicenter (km) Amplitude of Seismic Waves at Sensor (mm) 489.1 Richter Scale Magnitude Earthquake M= log A-D M= logo 200 1 50 6.4 2 250 3 22.6 2. 100 4 5,907.8 Once you know M, an earthquake's magnitude, you can use the formula log E = 1.44M + 5.24 to estimate E, the energy released by the earthquake in Joules. Consider the four earthquakes from the previous question, and fill in the blanks in the sentence below. Write energies in scientific notation to the nearest hundredth. Earthquake 1 released Joules of energy, earthquake 2 released Joules of energy, earthquake 3 released Joules of energy, and earthquake 4 released Joules of energy. 3. The largest earthquake ever recorded was in Chile in 1960. Had they been possible to record, the seismic waves produced would have measured about 1.62 km at 150 km from the epicenter. One of the biggest volcanic eruptions ever recorded was in what is now Indonesia in 1883, when the volcano Krakatoa released approximately 8x1017 Joules of energy. Which of these events released more energy? Explain. Use a distance correction factor of -3.29 for 150 km from the epicenter of the Chilean earthquake.