College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 27, Problem 21P
(a)
To determine
The rotational speed at the equator of the star.
(b)
To determine
The speed of a point on the equator with respect to a point directly opposite it on the star’s surface.
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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 27 Solutions
College Physics (10th Edition)
Ch. 27 - Suppose the speed of light were 30 m/s instead of...Ch. 27 - The average life span in the United States is...Ch. 27 - Two events occur at the same spatial point in a...Ch. 27 - Does the fact that simultaneity is not an absolute...Ch. 27 - Prob. 5CQCh. 27 - Prob. 6CQCh. 27 - A student asserted that a massless particle must...Ch. 27 - Why do you think the development of Newtonian...Ch. 27 - Youre approaching the star Betelgeuse in your...Ch. 27 - Discuss several good reasons for believing that no...
Ch. 27 - People sometimes interpret the theory of...Ch. 27 - Prob. 12CQCh. 27 - A rocket flies toward the earth at 12c, and the...Ch. 27 - A rocket is travelling at 13C relative to earth...Ch. 27 - A spaceship flies past a planet at a speed of...Ch. 27 - A square measuring 1 m by 1 m is moving away from...Ch. 27 - To an observer moving along with the square in the...Ch. 27 - To the observer moving along with the square in...Ch. 27 - A high-speed train passes a train platform....Ch. 27 - If it requires energy U to accelerate a rocket...Ch. 27 - A rocket is traveling toward the earth at 12c when...Ch. 27 - For the missile in the preceding problem, the...Ch. 27 - Prob. 11MCPCh. 27 - A rocket ship is moving toward earth at 23c. The...Ch. 27 - A spaceship is traveling toward earth from the...Ch. 27 - A rocket is moving to the right at half the speed...Ch. 27 - A futuristic spaceship flies past Pluto with a...Ch. 27 - Inside a spaceship flying past the earth at...Ch. 27 - Prob. 5PCh. 27 - The negative pion is an unstable particle with an...Ch. 27 - An alien spacecraft is flying overhead at a great...Ch. 27 - How fast must a rocket travel relative to the...Ch. 27 - A spacecraft flies away from the earth with a...Ch. 27 - You measure the length of a futuristic car to be...Ch. 27 - Prob. 11PCh. 27 - A spacecraft is moving at a speed of 0.800c...Ch. 27 - A rocket ship flies past the earth at 85.0% of the...Ch. 27 - || A spaceship makes the long trip from earth to...Ch. 27 - || A muon is created 55.0 km above the surface of...Ch. 27 - An enemy spaceship is moving toward your...Ch. 27 - || An enemy spaceship, which is moving at high...Ch. 27 - | Two particles in a high-energy accelerator...Ch. 27 - | A pursuit spacecraft from the planet Zirkon is...Ch. 27 - | Two panicles are created in a high-energy...Ch. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - A particle of mass m is moving at a speed v. (a)...Ch. 27 - Relativistic baseball. Calculate the magnitude of...Ch. 27 - Sketch a graph of (a) the nonrelativistic...Ch. 27 - An electron is acted upon by a force of 5.00 1015...Ch. 27 - Using both the nonrelativistic and relativistic...Ch. 27 - A particle is moving with a speed of 0.80c....Ch. 27 - Prob. 29PCh. 27 - Gasoline contains about 1.2 108 J of usable...Ch. 27 - A proton (rest mass 1.67 1027 kg) has total...Ch. 27 - In a hypothetical nuclear-fusion reactor, two...Ch. 27 - An antimatter reactor. When a particle meets its...Ch. 27 - A particle has a rest mass of 6 64 1027 kg and a...Ch. 27 - Prob. 35PCh. 27 - Sketch a graph of (a) the nonrelativistic...Ch. 27 - The starships of the Solar Federation are marked...Ch. 27 - A space probe is sent to the vicinity of the star...Ch. 27 - Two events are observed in a frame of reference S...Ch. 27 - Why are we bombarded by muons? Muons are unstable...Ch. 27 - A cube of metal with sides of length a sits at...Ch. 27 - In an experiment, two protons are shot directly...Ch. 27 - A 0.100 g speck of dust is accelerated from rest...Ch. 27 - By what minimum amount does the mass of 4.00 kg of...Ch. 27 - In certain radioactive beta decay processes (more...Ch. 27 - A 45 inclined plane is at rest in a physics...Ch. 27 - Prob. 47GPCh. 27 - A nuclear device containing 8.00 kg of plutonium...Ch. 27 - Electrons are accelerated through a potential...Ch. 27 - A nuclear physicist measures the momentum and...Ch. 27 - Prob. 51GPCh. 27 - Prob. 52GPCh. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...
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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 planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?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_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
- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardTwo double stars, one having mass 1.0 Msun and the other 3.0 Msun, rotate about their common center of mass. Their separation is 6 light years. What is their period of revolution?arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
- Suppose 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_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_forwardThe 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. (b) Is the ratio an upper limit estimate or a lower limit estimate?arrow_forward
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