Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 2, Problem 10P
To determine
The time taken to reach the width of
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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…
The figure shows, not to scale, a cross section through the interior of Earth. Rather than
being uniform throughout, Earth is divided into three zones: an outer crust, a mantle, and an
inner core. The dimensions of these zones and the masses contained within them are shown
on the figure. Earth has a total mass of 5.98 x 1024 kg and a radius of 6370 km. Ignore
rotation and assume that Earth is spherical. (a) Calculate ag at the surface. (b) Suppose that a
bore hole (the Mohole) is driven to the crust-mantle interface at a depth of 25.0 km; what
would be the value of ag at the bottom of the hole? (c) Suppose that Earth were a uniform
sphere with the same total mass and size. What would be the value of ag at a depth of 25.0
km? (Precise measurements of ag are sensitive probes of the interior structure of Earth,
although results can be clouded by local variations in mass distribution.)
6345 km
(a) Number
(b) Number
25 km
Number i
3490 km
-Core, 1.93 x 1024 kg
Mantle, 4.01 × 1024 kg
Crust,…
The average elevation of Arabian peninsula (freeboard) is f=400 m. Considering that the oceanic crust is h=5 km of thickness and the sea average depth is D= 3700 m. (pc=2700 kg/m3, po=3000 kg/m3, pm=3300 kg/m3 pw=1000 kg/m3) What is the thickness H of the continental crust. B. If the Musandam has an average elevation of 800 m. How much is the thickness below Musandam considering stacking of sedimentary layers and not erosion.
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.4 - Make a velocitytime graph for the car in Figure...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which one of the following statements is true? (a)...Ch. 2.6 - In Figure 2.12, match each vxt graph on the top...Ch. 2.7 - Consider the following choices: (a) increases, (b)...Ch. 2 - Prob. 1OQCh. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - Prob. 3OQ
Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 5OQCh. 2 - Prob. 6OQCh. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - Prob. 8OQCh. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Prob. 10OQCh. 2 - Prob. 11OQCh. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - Prob. 17OQCh. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Prob. 2CQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Position, Velocity, and Speed The position versus...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - Prob. 6PCh. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - Prob. 21PCh. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - Prob. 24PCh. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - Prob. 26PCh. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 31PCh. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - Prob. 33PCh. 2 - Why is the following situation impossible?...Ch. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Prob. 41PCh. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - Prob. 60APCh. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - Prob. 62APCh. 2 - Prob. 63APCh. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - Prob. 65APCh. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Prob. 68APCh. 2 - Prob. 69APCh. 2 - Prob. 70APCh. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 72APCh. 2 - Prob. 73APCh. 2 - Prob. 74APCh. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 76APCh. 2 - Prob. 77APCh. 2 - Prob. 78APCh. 2 - Prob. 79APCh. 2 - Prob. 80APCh. 2 - Prob. 81CPCh. 2 - Prob. 82CPCh. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - Prob. 85CP
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- Review. The North American and European plates of the Earths crust are drifting apart with a relative speed of about 25 mm/yr. Take the speed as constant and find when the rift between them started to open, to reach a current width of 2.9 103 mi.arrow_forward4) The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model R = 0.67 log(0.37 E) + 1.46 Where E is the energy (in kilowatt-hours) released by the earthquake. An earthquake in Pakistan on June 8, 2007. released 132,372 kilowatt hours of energy, what was the earthquake's magnitude (to the nearest tenth)? a) 4.1 b) 4.3 d) 4.8 c) 4.6arrow_forwardA11 Consider linear flow through a core length L with cross sectional area equal to A. Assume that flow through the core can be modeled as flow through ncapillary tubes of radius r and length L. Show that; k = 4.04 x 10^6 x Φ x r^2 where Φ denotes porosity, and k denotes permeability in Darcies.arrow_forward
- HEIGHT OF A CONTINENT ABOVE THE MANTLE. In the figure below, a simple model considers a continent as a block (density = 2,800 kg/m^3) floating in the mantle (density = 3,300 kg/m3). Assuming the continent is 35 km thick (the average thickness of the Earth's crust), estimate the height (in km) of the continent above the surrounding mantle. Continent (density = 2800 kg/m3) mg Mantle rock (density = 3300 kg/m³) 5.3. 7.4. 9.8 12. 17.arrow_forwardA seismic survey is conducted in a region with two layers. The top layer is shale, with density 2500 kg/m3, and seismic velocity of 2900m/s, and the bottom layer is sandstone, with a density of 2100 kg/m3, and a seismic velocity of 3000m/s. The reflection coefficient will bea. Positiveb. Negativec. Zerod. Not enough informationarrow_forwardAn earthquake occurs 6,875 km from a seismograph. The P-waves arrive 11.6 minutes later. How fast is the P-wave traveling (in km/s)? If the lag time between P- and S-waves is 10.8 minutes, how fast are the S-waves traveling (in km/s)? Using the shadow of S-waves you determine that the radius of the core is 55% of the Earth's 6,378-km radius. How many kilometers from the surface is this (in km)? To calculate how fast the P-waves are traveling, we need to divide the distance the waves travel by the time. vP = d s vP = km/sarrow_forward
- f. Assuming the Earth as an ideal sphere, determine the percentage volume of the core relative to the total volume of the earth. Note: Radius of the Earth is 6371 km, and radius of the core is 3481km.arrow_forwardTo which magnitude does the following combination of units correspond: N.m.s / C2?arrow_forwardThe intensity of a wave of an earthquake is measured as 9 J/m². At a different point 8.6 km away from the first point the intensity is reduced by 20%. At what distance from the centre of the earthquake is the first intensity measured. Please give your result in km with 1 decimal. (The centre of the earthquake, the first point and the second point should all be in one straight line).arrow_forward
- Tectonic plates are large segments of the Earth's crust that move slowly. Suppose one such plate has an average speed of 8.0 cm per year. (a) What distance does it move in 45 seconds at this speed? (b) What is its speed in miles per million years? mi/million yr Additional Materialsarrow_forwardGiven the density of iron as 7800 kg/m 3 , and the Earth radius is 6.38 x 10 6 m, if 55% of the Earth's volume is filled with Iron, and 45% is filled with rocks that has a density of 2600 kg/m 3 , what is the total mass of the Earth? I am looking for the total mass. m=densityxvolume, but am confused as im not such if i take 55% of irons density and 45% of the rocks density?arrow_forwardThe intensity levels I of two earthquakes measured on a seismograph can be compared by the formula log(I1I2)=M1−M2 using the common (base 10) logarithm and where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hit Honshu, Japan. In March 2011, that same region experienced yet another, more devastating earthquake, this time with a magnitude of 9.0.[1] How many times greater was the intensity of the 2011 earthquake? Round to the nearest whole number. The intensity of the 2011 earthquake was ________ times greater than the intensity of the 2009 earthquake. 1 http://earthquake.usgs.gov/earthquakes/world/historical.php. Accessed 3/4/2014.arrow_forward
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