ESSENTIAL COSMIC PERS.-W/MASTER.ACCESS
9th Edition
ISBN: 9780135795750
Author: Bennett
Publisher: PEARSON
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Chapter 14, Problem 49EAP
Surviving the Plunge. The tidal forces near a black hole with a mass similar to that of a star would tear a person apart before that person could fall through the event horizon. Black hole researchers have pointed out that a fanciful “black hole life preserver" could help counteract those tidal forces. The life preserver would need to have a mass similar to that of an asteroid and would need to be shaped like a flattened hoop and placed around the person’s waist. In what direction would the gravitational force from the hoop pull on the person's head? In what direction would it pull on the person's feet? Based on your answers, explain in general terms how the gravitational forces from the “life preserver" would help to counteract the black hole’s tidal forces.
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Event Horizon is a region around a black hole where:
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even light cannot escape.
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1. Let’s say we have a black hole with a mass 10 times that of the Sun (the Sun’s mass is 2 x 1030kg so the mass of the black hole is then 2 x1031 kg) Using the definitions for G and c what Schwarzschild radius of this black hole be?
g=6.67 x 10-11 m3 kg-1 s-2
c=3 x 108 m s-1
Chapter 14 Solutions
ESSENTIAL COSMIC PERS.-W/MASTER.ACCESS
Ch. 14 - Prob. 1VSCCh. 14 - Prob. 2VSCCh. 14 - Prob. 3VSCCh. 14 - Prob. 4VSCCh. 14 - Prob. 5VSCCh. 14 - Prob. 1EAPCh. 14 - Prob. 2EAPCh. 14 - Prob. 3EAPCh. 14 - Prob. 4EAPCh. 14 - Prob. 5EAP
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- 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 stellar black hole may form when a massive star dies. The mass of the star collapses down to a single point. Imagine an astronaut orbiting a black hole having eight times the mass of the Sun. Assume the orbit is circular. a. Find the speed of the astronaut if his orbital radius is r = 1 AU. b. Find his speed if his orbital radius is r = 11.8 km. c. CHECK and THINK: Compare your answers to the speed of light in a vacuum. What would the astronauts orbital speed be if his orbital radius were smaller than 11.8 km?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 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 Schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?arrow_forwardA student becomes so excited by the whole idea of black holes that he decides to jump into one. It has a mass 10 times the mass of our Sun. What is the trip like for him? What is it like for the rest of the class, watching from afar?arrow_forward
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- what 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_forwardNow look at the two images labeled "At a distance of 2.5M" and "At a distance of 2.1M". These show what happens as you move towards the black hole, looking away from it. What happens to your field of view of everything outside the black hole?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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