(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
The Richter Scale is used for measuring the magnitude of earthquakes. the magnitude of an earthquake is, by deifnition, measured 100 kilometers from its originating point, and is given by the equation M = log(s/10^-4), where S is the "strength" of the earthquake, as determined by the shockwaves it sends through the ground. Earthquake strengths vary greatly from 0 in some cases to 800,000,000 or more in other cases which is why a logarithmic scale is used to measure their magnitudes.
(I already know Part A)
Part B
Suppose a given earthquake is twice as strong as another earthquake. Determine the difference in magnitude of these earthquakes.
Part C
The largest manmade explosion was the test detonation of the Tsar Bomba hydrogen bomb. It was equivalent to about 50 million tons of TNT. It was similar in intensity to a magnitude 8.5 earthquake. The stronger earthquake ever recorded was the 1960 Valdivia earthquake than the Tsar Bomba? How much TNT was the earthquake equivalent to? Show…
The Richter Scale is used for measuring the magnitude of earthquakes. the magnitude of an earthquake is, by deifnition, measured 100 kilometers from its originating point, and is given by the equation M = log(s/10^-4), where S is the "strength" of the earthquake, as determined by the shockwaves it sends through the ground. Earthquake strengths vary greatly from 0 in some cases to 800,000,000 or more in other cases which is why a logarithmic scale is used to measure their magnitudes.
Part A
One of the strongest earthquakes ever recorded had a magnitude of 8.9 on the Richter Scale.
i) Determine the strength of this earthquake.
ii) What would be the magnitude of an earthquake four times weaker than this one?
iii) How many times stronger was this earthquake than the magnitude 2 earthquake that stuck central New Jersey in 2012?
Part B
Suppose a given earthquake is twice as strong as another earthquake. Determine the difference in magnitude of these earthquakes.
Part C
The largest…
Sailors use the following quadratic function to estimate wave height h, in feet, from wind speed w, in miles per hour:
h = 0.02w2.
(a) What wave height does the formula give for a wind speed of 35 miles per hour? ft(b) A sailor observes that the wave height is 6 feet. According to the formula above, what is the speed of the wind? (Round your answer to two decimal places.)
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