EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 29, Problem 67PCE
(a)
To determine
The maximum radius of the black hole of Sagittarius.
(b)
To determine
The acceleration of gravity at the Schwarzschild radius of black hole.
(c)
To determine
The change observed in the acceleration of gravity at the Schwarzschild radius of black hole when the mass is doubled.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A star is observed to undergo circular orbit around the black hole located at the centre of the Milky Way galaxy. The orbital period is measured to be 16 years and the distance between the star and the black hole is determined to be 1000 Astronomical Units. Estimate the mass of the black hole in units of the Solar mass, and explain any approximations you make in your calculation.
A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 500 kg. It has strayed
too close to a black hole having a mass 102 times that of the Sun. The nose of the spacecraft points toward the black hole,
and the distance between the nose and the center of the black hole is 10.0 km.
Black hole
-100 m-
(a) Determine the total force on the spacecraft.
N
10.0 km
(b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in
the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship
approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)
N/kg
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light.
Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole.
(a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.
Chapter 29 Solutions
EBK PHYSICS
Ch. 29.1 - Observer 1 shines a beam of light toward observer...Ch. 29.2 - Two identical atomic clocks are manufactured at a...Ch. 29.3 - A horizontal meterstick moving to the right is...Ch. 29.4 - A passenger jogs toward the front of a train with...Ch. 29.5 - Is the relativistic momentum of an object moving...Ch. 29.6 - An object of mass m moves with speed u. Rank the...Ch. 29.7 - If the speed of light were infinite, would the...Ch. 29.8 - Prob. 8EYUCh. 29 - Some distant galaxies are moving away from us at...Ch. 29 - Prob. 2CQ
Ch. 29 - When we view a distant galaxy, we notice that the...Ch. 29 - Prob. 4CQCh. 29 - Give an argument that shows that an object of...Ch. 29 - Section 29-1 The Postulates of Special Relativity ...Ch. 29 - Albert is piloting his spaceship heading east with...Ch. 29 - A street performer tosses a ball straight up into...Ch. 29 - Prob. 4PCECh. 29 - Predict/Explain Suppose you are a traveling...Ch. 29 - A neon sign in front of a cafe flashes on and off...Ch. 29 - A lighthouse sweeps its beam of light around in a...Ch. 29 - As a spaceship flies past with speed u, you...Ch. 29 - How fast should your spacecraft travel so that...Ch. 29 - Usain Bon set a world record for the 100-m dash on...Ch. 29 - (a) Find the average distance (in the Earths frame...Ch. 29 - Referring to Example 29-3, (a) how much does Benny...Ch. 29 - The Pi Meson An elementary particle called a pi...Ch. 29 - Predict/Calculate (a) Is it possible for you to...Ch. 29 - In order to cross the galaxy quickly, a spaceship...Ch. 29 - An observer moving toward Earth with a speed of...Ch. 29 - Predict/Calculate An astronaut moving with a speed...Ch. 29 - BIO Newly sprouted sunflowers can grow at the rate...Ch. 29 - As measured in earths frame of reference, the...Ch. 29 - Captain Jean Luc is piloting the USS Enterprise...Ch. 29 - Prob. 21PCECh. 29 - How fast does a 275-m spaceship move relative to...Ch. 29 - Suppose the speed of light in a vacuum were only...Ch. 29 - A rectangular painting is W = 117 cm wide and H =...Ch. 29 - Prob. 25PCECh. 29 - A cubical box is 0.75 m on a side (a) What are the...Ch. 29 - When parked, your car is 5 8 m long....Ch. 29 - An astronaut travels to a distant star with a...Ch. 29 - Predict/Calculate Laboratory measurements show...Ch. 29 - You and a friend travel through space in identical...Ch. 29 - A ladder 5.0 m long leans against a wall inside a...Ch. 29 - When traveling past an observer with a relative...Ch. 29 - Predict/Calculate The starships Picard and La...Ch. 29 - A spaceship moving toward Earth with a speed of...Ch. 29 - Suppose the probe in Problem 34 is launched in the...Ch. 29 - Suppose the speed of light is 35 mi/h. A paper...Ch. 29 - Two asteroids head straight for Earth from the...Ch. 29 - Two rocket ships approach Earth from opposite...Ch. 29 - A spaceship and an asteroid are moving in the same...Ch. 29 - An electron moves to the right in a laboratory...Ch. 29 - A uranium nucleus is traveling at 0.95c in the...Ch. 29 - Predict/Calculate Two rocket ships are racing...Ch. 29 - A 2.8 106-kg spaceship moves away from Earth with...Ch. 29 - An asteroid with a mass of 8.2 1011-kg is...Ch. 29 - An object has a relativistic momentum that is 8.50...Ch. 29 - A football player with a mass of 88 kg and a speed...Ch. 29 - A space probe with a rest mass of 8 2 107 kg and...Ch. 29 - At what speed does the classical momentum, p = mu,...Ch. 29 - A proton has 1836 times the rest mass of an...Ch. 29 - Star A has a mass of 3 0 1023 kg kg and is...Ch. 29 - Particles A through D have the following rest...Ch. 29 - Find the work that must be done on a proton to...Ch. 29 - A spring with a force constant of 595 N/m is...Ch. 29 - The 15 gallons of gasoline required to refuel your...Ch. 29 - Prob. 55PCECh. 29 - When a proton encounters an antiproton, the two...Ch. 29 - If a neutron moves with a speed of 0.99c, what are...Ch. 29 - A rocket with a mass of 2.7 106 kg has a...Ch. 29 - An object has a total energy that is 4.8 times its...Ch. 29 - Prob. 60PCECh. 29 - A nuclear power plant converts fuel energy at an...Ch. 29 - Prob. 62PCECh. 29 - What is the percent difference between the...Ch. 29 - Predict/Calculate Consider a baseball with a rest...Ch. 29 - A lump of putty with a mass of 0.240 kg and a...Ch. 29 - Prob. 66PCECh. 29 - Prob. 67PCECh. 29 - Prob. 68GPCh. 29 - CE You are standing next to a runway as an...Ch. 29 - CE An apple drops from the bough of a tree to the...Ch. 29 - CE Predict/Explain Consider two apple pies that...Ch. 29 - CE Predict/Explain An uncharged capacitor is...Ch. 29 - Cosmic Rays Protons in cosmic rays have been...Ch. 29 - At the CERN particle accelerator in Geneva,...Ch. 29 - A 14C nucleus, initially at rest, emits a beta...Ch. 29 - A clock at rest has a rectangular shape, with a...Ch. 29 - A starship moving toward Earth with a speed of...Ch. 29 - Prob. 78GPCh. 29 - A 2.5-m titanium rod in a moving spacecraft is at...Ch. 29 - Electrons are accelerated from rest through a...Ch. 29 - The rest energy, m0c2, of a particle with a...Ch. 29 - Predict/Calculate Consider a relativistic air...Ch. 29 - Predict/Calculate In Conceptual Example 29-7...Ch. 29 - A pulsar is a collapsed, rotating star that sends...Ch. 29 - Prob. 85GPCh. 29 - Decay of the Particle When at rest, the particle...Ch. 29 - Prob. 87PPCh. 29 - Prob. 88PPCh. 29 - Prob. 89PPCh. 29 - Prob. 90PPCh. 29 - Referring to Example 29-9 The Picard approaches...Ch. 29 - Referring to Example 29-9 Faraway Point starbase...
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
- Two black holes (the remains of exploded stars), separated by a distance of 10.0 AU (1 AU = 1.50 1011 m), attract one another with a gravitational force of 8.90 1025 N. The combined mass of the two black holes is 4.00 1030 kg. What is the mass of each black hole?arrow_forwardA massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?arrow_forwardCompute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.arrow_forward
- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardAstronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forward
- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardFor many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forward(a) Show that tidal force on a small object of mass m, defined as the difference in the gravitational force that would be exerted on m at a distance at the near and the far side of the object, due to the gravitational at a distance R from M, is given by Ftidal=2GMmR3r where r is the distance between the near and far side and rR .(b) Assume you are fallijng feet first into the black hole at the center of our galaxy. It has mass of 4 million solar masses. What would be the difference between the force at your head and your feet at the Schwarzschild radius (event horizon)? Assume your feet and head each have mass 5.0 kg and are 2.0 m apart. Would you survive passing through the event horizon?arrow_forward
- A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardHow far from the center of the Sun would the net gravitational force of Earth and the Sun on a spaceship be zero?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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning