Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 21, Problem 61Q
To determine
Mass in kilograms of a black hole whose Schwarzschild radius is
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What is the Schwarzschild radius (in km) of a 20 solar mass black hole?
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
Calculate the Schwarzschild Radius for each of the following:
1. A 3.3 X 108 solar-mass black hole in the center of a quasar
2. a 3.5 solar-mass black hole formed in a type II supernova
3. a mini-black hole with the mass of the moon
4. a black hole with the mass of you (estimate your mass to be 51.8 kg)
Chapter 21 Solutions
Universe: Stars And Galaxies
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- What characteristics must a binary star have to be a good candidate for a black hole? Why is each of these characteristics important?arrow_forwardAs 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_forwardAs 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_forward
- How much would you weigh if you were suddenly transported to the white dwarf Sirius B? You may use your own weight (or if don’t want to own up to what it is, assume you weigh 70 kg or 150 lb). In this case, assume that the companion to Sirius has a mass equal to that of the Sun and a radius equal to that of Earth. Remember Newton’s law of gravity: F=GM1M2/R2 and that your weight is proportional to the force that you feel. What kind of star should you travel to if you want to lose weight (and not gain it)?arrow_forwardTRUE OR FALSE A Black Hole’s singularity has zero radius yet can accommodate infinite mass.arrow_forwardHow can we calculate Schwarzschild radius?arrow_forward
- Black hole candidates are conspicuous by their continuous or flickering emission of a. infrared light. b. ultraviolet light. c. gamma rays. d. X rays. e. all of the above.arrow_forwardWhat is the acceleration of gravity at the surface if the white dwarf has 1.5 the mass of the sun and is only half the radius of earth?arrow_forwardHow close, r, to the center of a neutron star would a manned satellite be orbiting if it were at the location where the gravitational force from the star equaled the gravitational force of the Earth's surface? RN = neutron star radius = 1 × 104 kmM N = neutron star mass = 3 × 1030 kgG = universal gravitational constant = 6.67 × 10-11 N m2 / kg2g⊕ = Earth gravitational acceleration = 9.807 m/s²arrow_forward
- What indicates that the gravitational wave originated from the merger of a black hole?arrow_forwardUse the Schwarzchild formula, Rs = 2GM/c2 , where Rs = Radius of the star, in meters, that would cause it to become a black hole M = Mass of the star, in kilograms, G = A constant, called the gravitational constant = 6.7 * 10-11m3/kg .s2, c = Speed of light = 3 * 108 meters per second. to determine to what length the radius of the Sun must be reduced for it to become a black hole. The Sun’s mass is approximately 2 * 1030 kilograms ?arrow_forward
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