a black hole has a mass that is 10,000 times the mass of the sun. what is its schwarzschild radius? show all work for full credit.
Mass of sun =1.98*10^30kg
The radius is given by
rs =2GM/c^2 =1.48*10^-27*1000*1.98*10^30=2930*10^6km
Given black hole mass M = 10000 times the mass of the sun
mass of sun = 2*1030 kg
so here M = 2 * 1030 * 10000
Schwardzschild radius rs = 2 * G * M / C2
where G = gravitational constant
C = speed of the light
M = mass of the black hole
the value of 2G/ C2 = 1.48 * 10-27 m/kg
rs =( 2 * 6.67*10^-11 * 2* 10000) / ( 3*108)2 = 1.48 * 10-27 * 2 * 1030 * 104
rs = 2.96 * 107 m
a black hole has a mass that is 10,000 times the mass of the sun. what...
Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00 × 108 m/s, making all escape impossible. Part A What is the radius of the event horizon for a black hole with a mass 6.0 times the mass of the sun? This distance is called the Schwarzschild radius.
If the mass of the sun is 98*1030 kg. Then calculate the Schwarzschild radius if the sun collapsed into a black hole? Calculate the Schwarzschild radius of a supermassive black hole of mass 2 billion solar masses?
A black hole has a Schwarzschild radius of 88.61 km or 8.86×104 meters. What is its mass?
: What is the Schwarzschild radius, in kilometers, of a 13-MSun black hole? of a 2,500-MSun black hole? We used the equation........Rs=2.9 km (m/Msun) 1. What is the mass, in MSun, of a black hole whose Schwarzschild radius is 990 km?
The Schwarzschild radius, or event horizon, of a black hole is the distance from a black hole at which the escape velocity is the speed of light. Calculate the Schwarzschild radius of a black hole with the mass of Mount Rushmore (reminder: Mt. Rushmore has a mass of about 3 x 1013 grams).
a star can become a black hole if all of its mass is within its schwarzchil radius . the sun which has a mass of 1.99*10^30kg , will eventually burn out and collapse . what would be its schawarzchilds radius , if it was possible for it to be a black hole ?
Now we consider a black hole of the same mass as the Sun: Mbh 2x 1030 kg. (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a pl M, you can only escape the planet's gravity if you start from a radius r > 2GM/ t of mass Hint: Use Newtonian mechanics. What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
A 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 fifty-seven times the mass of the Sun. 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...
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...