Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 27P
Figure 13-42 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 × 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.)
Figure 13-42 Problem 27.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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 planet Saturn has an average radius of 9 Earth radii and a density of 0.7 g/cm3 (yes, less dense than water!). How many Earth radii must a moon remain beyond the center of this giant planet, if the moon is made of water ice (0.9 g/cm3)?
(i)
How many Saturn radii does this equal?
Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s2, and atmospheric pressure is 9.00 ✕ 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 kg/m3.
(a)
What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean?
N
(b)
What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of ethane with radius 2.00 m? (Enter your answer in N.)
What is the mass of the ethane? How is it related to density and volume? What is the volume of a cylinder? What is the weight in terms of mass and gravitational acceleration? Note the gravitational acceleration is not 9.80 m/s2 on this planet. N
(c)
What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean?
Pa
Chapter 13 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 13 - In Fig. 13-21, a central particle of mass M is...Ch. 13 - Prob. 2QCh. 13 - In Fig. 13-23, a central particle is surrounded by...Ch. 13 - In Fig. 13-24, two particles, of masses m and 2m,...Ch. 13 - Prob. 5QCh. 13 - In Fig. 13-26, three particles are fixed in place....Ch. 13 - Rank the four systems of equal- mass particles...Ch. 13 - Figure 13-27 gives the gravitational acceleration...Ch. 13 - Figure 13-28 shows three particles initially fixed...Ch. 13 - Figure 13-29 shows six paths by which a rocket...
Ch. 13 - Figure 13-30 shows three uniform spherical planets...Ch. 13 - In Fig. 13-31, a particle of mass m which is not...Ch. 13 - ILW A mass M is split into two parts, m and M m,...Ch. 13 - Moon effect. Some people believe that the Moon...Ch. 13 - Prob. 3PCh. 13 - The Sun and Earth each exert a gravitational force...Ch. 13 - Miniature black holes. Left over from the big-bang...Ch. 13 - GO In Fig. 13-32, a square of edge length 20.0 cm...Ch. 13 - One dimension. In Fig. 13-33, two point particles...Ch. 13 - In Fig. 13-34, three 5.00 kg spheres are located...Ch. 13 - SSM WWW We want to position a space probe along a...Ch. 13 - Prob. 10PCh. 13 - As seen in Fig. 13-36, two spheres of mass m and a...Ch. 13 - GO In Fig. 13-37a, particle A is fixed in place at...Ch. 13 - Figure 13-38 shows a spherical hollow inside a...Ch. 13 - Prob. 14PCh. 13 - GO Three dimensions. Three point particles are...Ch. 13 - GO In Fig. 13-40, a particle of mass m1 = 0.67 kg...Ch. 13 - a What will an object weigh on the Moons surface...Ch. 13 - Mountain pull. A large mountain can slightly...Ch. 13 - SSM At what altitude above Earths surface would...Ch. 13 - Mile-high building. In 1956, Frank Lloyd Wright...Ch. 13 - ILW Certain neutron stars extremely dense stars...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Two concentric spherical shells with uniformly...Ch. 13 - A solid sphere has a uniformly distributed mass of...Ch. 13 - Prob. 26PCh. 13 - Figure 13-42 shows, not to scale, a cross section...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - In Problem 1, what ratio m/M gives the least...Ch. 13 - SSM The mean diameters of Mars and Earth are 6.9 ...Ch. 13 - a What is the gravitational potential energy of...Ch. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - GO Figure 13-44 shows four particles, each of mass...Ch. 13 - Zero, a hypothetical planet, has a mass of 5.0 ...Ch. 13 - GO The three spheres in Fig, 13-45, with masses mA...Ch. 13 - In deep space, sphere A of mass 20 kg is located...Ch. 13 - Prob. 39PCh. 13 - A projectile is shot directly away from Earths...Ch. 13 - SSM Two neutron stars arc separated by a distance...Ch. 13 - GO Figure 13-46a shows a particle A that can he...Ch. 13 - a What linear speed must an Earth satellite have...Ch. 13 - Prob. 44PCh. 13 - The Martian satellite Photos travels in an...Ch. 13 - The first known collision between space debris and...Ch. 13 - Prob. 47PCh. 13 - The mean distance of Mars from the Sun is 1.52...Ch. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - The Suns center is at one focus of Earths orbit....Ch. 13 - A 20 kg satellite has a circular orbit with a...Ch. 13 - Prob. 54PCh. 13 - In 1610, Galileo used his telescope to discover...Ch. 13 - In 1993 the spacecraft Galileo sent an image Fig....Ch. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Three identical stars of mass M form an...Ch. 13 - In Fig. 13-50, two satellites, A and B, both of...Ch. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - SSM WWW An asteroid, whose mass is 2.0 10-4 times...Ch. 13 - A satellite orbits a planet of unknown mass in a...Ch. 13 - A Satellite is in a circular Earth orbit of radius...Ch. 13 - One way to attack a satellite in Earth orbit is to...Ch. 13 - Prob. 67PCh. 13 - GO Two small spaceships, each with mass m = 2000...Ch. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - Several planets Jupiter. Saturn, Uranus are...Ch. 13 - Prob. 72PCh. 13 - Figure 13-53 is a graph of the kinetic energy K of...Ch. 13 - The mysterious visitor that appears in the...Ch. 13 - ILW The masses and coordinates of three spheres...Ch. 13 - SSM A very early, simple satellite consisted of an...Ch. 13 - GO Four uniform spheres, with masses mA = 40 kg,...Ch. 13 - a In Problem 77, remove sphere A and calculate the...Ch. 13 - Prob. 79PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Prob. 82PCh. 13 - Prob. 83PCh. 13 - Prob. 84PCh. 13 - Prob. 85PCh. 13 - Prob. 86PCh. 13 - Prob. 87PCh. 13 - Prob. 88PCh. 13 - Prob. 89PCh. 13 - A 50 kg satellite circles planet Cruton every 6.0...Ch. 13 - Prob. 91PCh. 13 - A 150.0 kg rocket moving radially outward from...Ch. 13 - Prob. 93PCh. 13 - Two 20 kg spheres are fixed in place on a y axis,...Ch. 13 - Sphere A with mass 80 kg is located at the origin...Ch. 13 - In his 1865 science fiction novel From the Earth...Ch. 13 - Prob. 97PCh. 13 - Prob. 98PCh. 13 - A thin rod with mass M = 5.00 kg is bent in a...Ch. 13 - In Fig. 13-57, identical blocks with identical...Ch. 13 - A spaceship is on a straight-line path between...
Additional Science Textbook Solutions
Find more solutions based on key concepts
A toroid has 250 trims of wire and carries a current of 20 A. Its inner and outer radii are 8.0 and 9.0 cm. Wha...
University Physics Volume 2
Suppose that you placed a very small bulb at the location of the image in part B. How would the rays from the b...
Tutorials in Introductory Physics
To measure the heat capacity of an object, all you usually have to do is put it in thermal contact with another...
An Introduction to Thermal Physics
A radiant heat lamp is a rod, tong and in diameter through which of electric energy is deposited Assume that th...
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
The amount of heat that flows per second from the boiling water to the ice-water mixture.
Sears And Zemansky's University Physics With Modern Physics
The Sun’s position in the Milky Way is shown in the picture above. What is the approximate distance from the Su...
Lecture- Tutorials for Introductory Astronomy
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 6.50 m/s2, and atmospheric pressure is 7.20 ✕ 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 kg/m3. (a) What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean? ____N (b) What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of ethane with radius 2.00 m? (Enter your answer in N.) ____N (c) What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean? ____Paarrow_forwardImagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.80 m/s?, and atmospheric pressure is 8.20 x 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 kg/m. (a) What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean? N (b) What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of ethane with radius 2.00 m? (Enter your answer in N.) (c) What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean? Paarrow_forward12-16. Estimate the maximum rotation rate of a strengthless asteroid (held together by gravity alone) by setting the rotation speed at the equator equal to the escape velocity. (a) Approximate the asteroid by a spherical body. (Hint: Your answer should depend only on the density of the body, not its size.)arrow_forward
- You can determine the radius of a planet by measuring the change in the flux coming from the star (i.e. the transit method). If the radius of the planet increases, the overall flux decreases, but what happens to the change in the flux Group of answer choices Increases Decreases Stays constantarrow_forwardThe 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…arrow_forwardThe 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…arrow_forward
- 16-9. Show that the escape velocity from a planet's surface is given by v = (2gR)'/2 where g is the gravitational constant and R the radius of the planet. Given that the gravita- tional constant of the earth is 980 cm/sec² and the radius is 6.4 × 10 cm, calculate the fraction of hydrogen, helium, nitrogen, and oxygen molecules having velocities exceeding the escape velocity.arrow_forwardThe planet Jupiter has a mass of 1.9 × 1027 kg and a radius of 72,000 km. The Earth, meanwhile, has a mass of 6.0 × 1024 kg and a radius of 6,400 km. What is the volume of Earth in m^3?arrow_forwardConsider a solid sphere (e.g., a planet) with mass M and radius R. The volume mass density for this planet is given by r2 p(r) = for rR where A is a constant with the units of kg/m'.arrow_forward
- In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?arrow_forwardJupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 kmkm (or even higher) above the surface. Io has a mass of 8.93×10^22kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, m_E=5.96×10^24kg) Express your answer with the appropriate units.arrow_forwardA spherical planet has an outer radius R; its density p varies as a function of distance r given by p(r) = 3 – 2(r²/R²) (so the density is 3 units at the centre, and 1 at the surface r = R). Calculate the mass of the planet.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Gravitational Force (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=pxp1Z91S5uQ;License: Standard YouTube License, CC-BY