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Suppose we have two spherical objects that are just black holes; that is, for each rb...
2) Densities We discussed White Dwarfs and Neutron stars, very dense objects compared to stars like...
2) Densities We discussed White Dwarfs and Neutron stars, very dense objects compared to stars like our sun. On the other hand, we also discussed Red Giants which are much less dense than our sun. To realize just how dense, please compute the average densities (in kg/m) for a) the sun (Rsun=7 x 10 km, Msun= 2 x 1030 kg) b) when the sun becomes a red giant (R= 1AU, M=Msun). By what factor is a Red Giant less dense...
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100...
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100 solar masses. Since we can see, in this Universe, out to a redshift of z-8, find an upper limit on the number density of these black holes, assuming that a black hole of one solar mass would have a radius of 3 km and that black hole radius scales linearly with mass. Using your upper limit on the number density of such intermediate mass...
3. In this problem, we are going to examine the supermassive black hole in the center...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of an object such that, if all the mass of the object were compressed within a sphere of such radius, the escape speed from the surface would equal the speed of light. It, thus, defines a spherical boundary called the event horizon, commonly associated with black holes, beyond which the events cannot affect an outside observer. Theoretically, any amount of matter will become a black...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of an object such that, if all the mass of the object were compressed within a sphere of such radius, the escape speed from the surface would equal the speed of light. It, thus, defines a spherical boundary called the event horizon, commonly associated with black holes, beyond which the events cannot affect an outside observer. Theoretically, any amount of matter will become a black...
would be great if both were answered thank you utron Stars and Black Holes (Numerical) Q...
would be great if both were answered thank you
utron Stars and Black Holes (Numerical) Q Search this ca i Schwarzschild Radius. Find the Schwarzschild radius for the least massive black hole. km Is your calculated value greater than, the same as, or smaller than the diameter of a typical neutron star and the diameter of Manhattan, New York, which is around 10.9 km? than the typical neutron star, than New York. Submit Answer 2 question attempts remaining Milky Way...
We know that the Earth moves about the Sun due to the gravity force exerted by...
We know that the Earth moves about the Sun due to the gravity force exerted by the Sun, that is, the Earth is a “satellite” to the Sun, just like the moon to the Earth. Assume the Earth follows uniform circle motion about the Sun, and ignore gravity force due to objects other than the Sun. Estimate the orbital speed of the Earth = _______ m/s? The Earth has mass =5.98 x 1024 kg and radius 6.4 x 106 m....
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an...
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an average orbital radius of 107,588,122 kilometers. It is observed that another planet in the same system has orbital period of 373 days. What is its average orbital radius of the second planet? Express your answer in kilometers, use scientific notation and round the coefficient to two decimals. In a newly discovered exoplanetary system one planet orbits its star in 57 days with an average...
Miniature black holes. Left over from the big-bang beginning of the universe, tiny black holes might...
Miniature black holes. Left over from the big-bang beginning of the universe, tiny black holes might still wander through the universe. If one with a mass of 4 × 1011 kg (and a radius of only 2 × 10-16 m) reached Earth, at what distance from your head would its gravitational pull on you match that of Earth's? Assume free-fall acceleration ag=9.83 m/s2. Number Enter your answer in accordance to the question statement Units Choose the answer from the menu...
Two identical black holes collide head-on. Each of them has a mass equivalent to 32 solar...
Two identical black holes collide head-on. Each of them has a mass equivalent to 32 solar masses. (The sun has a mass of about 2×10^30 kg.) As the black holes collide, they merge, forming a single, larger black hole and additional gravitational waves that carry momentum out of the system. Before the collision, one black hole is moving with a speed of 52 km/s, while the other one is moving at 66 km/s. After the collision the larger black hole...
2) Densities We discussed White Dwarfs and Neutron stars, very dense objects compared to stars like our sun. On the other hand, we also discussed Red Giants which are much less dense than our sun. To realize just how dense, please compute the average densities (in kg/m) for a) the sun (Rsun=7 x 10 km, Msun= 2 x 1030 kg) b) when the sun becomes a red giant (R= 1AU, M=Msun). By what factor is a Red Giant less dense...
1 + Z Now suppose that this Universe is filled homogenously with black holes of 100 solar masses. Since we can see, in this Universe, out to a redshift of z-8, find an upper limit on the number density of these black holes, assuming that a black hole of one solar mass would have a radius of 3 km and that black hole radius scales linearly with mass. Using your upper limit on the number density of such intermediate mass...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of an object such that, if all the mass of the object were compressed within a sphere of such radius, the escape speed from the surface would equal the speed of light. It, thus, defines a spherical boundary called the event horizon, commonly associated with black holes, beyond which the events cannot affect an outside observer. Theoretically, any amount of matter will become a black...
Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of an object such that, if all the mass of the object were compressed within a sphere of such radius, the escape speed from the surface would equal the speed of light. It, thus, defines a spherical boundary called the event horizon, commonly associated with black holes, beyond which the events cannot affect an outside observer. Theoretically, any amount of matter will become a black...
would be great if both were answered thank you
utron Stars and Black Holes (Numerical) Q Search this ca i Schwarzschild Radius. Find the Schwarzschild radius for the least massive black hole. km Is your calculated value greater than, the same as, or smaller than the diameter of a typical neutron star and the diameter of Manhattan, New York, which is around 10.9 km? than the typical neutron star, than New York. Submit Answer 2 question attempts remaining Milky Way...
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an average orbital radius of 107,588,122 kilometers. It is observed that another planet in the same system has orbital period of 373 days. What is its average orbital radius of the second planet? Express your answer in kilometers, use scientific notation and round the coefficient to two decimals. In a newly discovered exoplanetary system one planet orbits its star in 57 days with an average...
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