The Cosmic Perspective Fundamentals (2nd Edition)
2nd Edition
ISBN: 9780133889567
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 10, Problem 17SEQ
To determine
The direction of the force acting on the person's head by the flattened hoop. The direction of the force acting on the person's feet by the flattened hoop. The way a life preserver counteracts the black hole's tidal force.
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What is the Schwarzschild radius (in km) of a 6Msun black hole?
What fraction of the Earth's radius is this?
What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius?
Part 1 of 3
The Schwarzschild radius of a black hole is given by:
2GM
Rs
=
c2
so for the given mass,
2G(6)(Msun)
Rs
c2
where M.
Sun = 1.99 x 1030 kg.
Then convert this into kilometers using 1 km = 1,000 m.
Rs
km
Event Horizon is a region around a black hole where:
group of answer choices:
even light cannot escape.
all the events are occurring
speed of an object is close to speed of light.
no physical object can pass through. r
nothing can enter .
M1
Chapter 10 Solutions
The Cosmic Perspective Fundamentals (2nd Edition)
Ch. 10 - Prob. 1QQCh. 10 - Prob. 2QQCh. 10 - Prob. 3QQCh. 10 - Prob. 4QQCh. 10 - Prob. 5QQCh. 10 - Prob. 6QQCh. 10 - Prob. 7QQCh. 10 - Choose the best answer to each of the following....Ch. 10 - Prob. 9QQCh. 10 - Choose the best answer to each of the following....
Ch. 10 - Prob. 11QQCh. 10 - Prob. 12QQCh. 10 - Explain all answers clearly, with complete...Ch. 10 - Explain all answers clearly, with complete...Ch. 10 - Prob. 15SEQCh. 10 - Prob. 16SEQCh. 10 - Prob. 17SEQCh. 10 - Prob. 18SEQCh. 10 - Prob. 19SEQCh. 10 - Explain all answers clearly, with complete...
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- What is the Schwarzschild radius of a blank hole that has a mass eight times that of our Sun? Note that stars must be more massive than the Sun to form black holes as a result of a supernova.arrow_forwardIf the Sun were to collapse into a black hole, the point of no return for an investigator would be approximately 3 km from the center singularity. Would the investingator be able to survive visiting even 300 km from the center? Answer this by finding the difference in the gravitatoinal attraction the black holes exerts on a 1.0-kg mass at the head and at the feet of the investigator.arrow_forwardWhat would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.arrow_forward
- As an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the object apart as it approaches the Schwarzschild radius? How does the mass of the black hole and size of the object affect your answer?arrow_forwardA black hole is an object with mass, but no spatial extent. It truly is a particle. A black hole may form from a dead star. Such a black hole has a mass several times the mass of the Sun. Imagine a black hole whose mass is ten times the mass of the Sun. a. Would you expect the period of an object orbiting the black hole with a semimajor axis of 1 AU to have a period greater than, less than, or equal to 1 yr? Explain your reasoning. b. Use Equation 7.6 to calculate this period.arrow_forwardWhat is the Schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?arrow_forward
- As a person approaches the Schwarzschild radius fo a black hole, outside observers see all the processes of that person (their clocks, their heart rate, etc.) slowing down, and coming to a halst as they reach the Schwarzschild radius. (The person falling into the black hole sees their own processes unaffected.) But the speed of light is the same everywhere for all observers. What does this say about space as you approach the black hole?arrow_forwardwhat is the mass of the black hole ? give your answer as a multiple of Ms where Ms is the solar mass, Ms = 2.0 * 10^(30) express your answer as a multiple of the solar mass mass Ms.arrow_forwardThe escape velocity at the event horizon of a black hole is 3×108 m/s, i.e., the velocity of light. What is the mass of the black hole if the distance from its centre to the event horizon is 18km? a) 12.15 x 10-30 kg b) 12.15 x 1030 kg c) Infinity d) Cannot be determinedarrow_forward
- 4. The Schwarzschild radius of a black hole is the radius at which light cannot escape. By setting the escape speed found in lecture 1 to c, the speed of light, determine the Schwarzschild radius R, of a black hole in terms of its mass M.arrow_forwardA gravitational dead zone is found between two hyper giant stars, HG A and HG B, 34 million km from HG A. It is known that the mass of B is 25 x the mass of A. Determine the distance between the two stars in millions of km.arrow_forwardAstrophysical theory suggests that a burned-out star whose mass is at least three solar masses will collapse under its own gravity to form a black hole. If it does, what is the radius of its event horizon?arrow_forward
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