The surface of the sun has a temperature of about 5800K and consists largely of hydrogen...
The surface of the sun has a temperature of about 5800K and consists largely of hydrogen atoms.
Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67×10−27kg.)
The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun's mass, R its radius, and G the gravitational constant. The sun`s mass is M=1.99×1030kg, its radius R=6.96×108mand G=6.673×10−11N⋅m2/kg2. Calculate the escape speed for the sun.
Can appreciable quantities of hydrogen escape from the sun?
Can any hydrogen escape?
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The surface of the sun has a temperature of about 5800K and
consists largely of hydrogen...
The escape speed from an object is v2 = 2GM/R, where M is the mass of...
The escape speed from an object is v2 = 2GM/R, where M is the mass of the object, R is the object's starting radius, and G is the gravitational constant 6.67 × 10-11 m3 kg-1 s-2. What is the approximate escape speed, in km/s, from the Solar System starting from an orbit at 0.7 AU? In this case, the mass of the Sun, 2e+30 kg, can be used as the mass of the Solar system.
The Schwarzschild radius is the distance from an object at which the escape velocity is equal...
The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is smaller than its Schwarzschild radius, so not even light itself can escape a black hole. The Schwarzschild radius r depends on the mass m of the black hole according to the equation 2Gm r = where G = 6.673 x 10-11 N.m²/ kg? is the gravitational constant and c = 2.998...
Question 2 A space agency plans to send a probe to the Sun by launching it...
Question 2 A space agency plans to send a probe to the Sun by launching it into an elliptical orbit with apoapsis at the Earth, which orbits a distance ae = 150 x 10km from the Sun. The probe is designed to withstand temperatures at a periapsis equal to ten times the Sun's radius Rs, where Rs = 696 x 10'km. a) Calculate the eccentricity of the elliptical orbit. (3 marks) (b) Assume that the probe is placed into the...
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...
Jupiter's exosphere has a temperature of about 900.0 K. What is the thermal speed of hydrogen...
Jupiter's exosphere has a temperature of about 900.0 K. What is the thermal speed of hydrogen (in km/s) in Jupiter's exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.
The Schwarzschild radius RBH for an object of mass M is defined as RBH = 2GM...
The Schwarzschild radius RBH for an object of mass M is defined as RBH = 2GM where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99 x...
The Schwarzschild radius RBH for an object of mass M is defined as 2GM RBH =...
The Schwarzschild radius RBH for an object of mass M is defined as 2GM RBH = - where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99...
2. The potential energy of two masses, m, and m, separated by a distance r is...
2. The potential energy of two masses, m, and m, separated by a distance r is given by: Gm.my VO) --- G 6.67X10" J m ka? Suppose a particle of mass m has a velocity v perpendicular to the earth's surface. Show that the minimum velocity that the particle must have in order to escape the earths surface 2GM. von Roth Then, considering that Mon = 5.98x1024 kg and Ron = 6.36x10m is its mean radius, calculate the escape velocity...
please explain the answer 4) The escape velocity on the surface of a planet is given...
please explain the answer
4) The escape velocity on the surface of a planet is given by 2GM R where G = 6.67 x 10-11m2 kg-1 3-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v in terms of average mass density p. Recall...
The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is smaller than its Schwarzschild radius, so not even light itself can escape a black hole. The Schwarzschild radius r depends on the mass m of the black hole according to the equation 2Gm r = where G = 6.673 x 10-11 N.m²/ kg? is the gravitational constant and c = 2.998...
Question 2 A space agency plans to send a probe to the Sun by launching it into an elliptical orbit with apoapsis at the Earth, which orbits a distance ae = 150 x 10km from the Sun. The probe is designed to withstand temperatures at a periapsis equal to ten times the Sun's radius Rs, where Rs = 696 x 10'km. a) Calculate the eccentricity of the elliptical orbit. (3 marks) (b) Assume that the probe is placed into the...
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...
The Schwarzschild radius RBH for an object of mass M is defined as RBH = 2GM where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99 x...
The Schwarzschild radius RBH for an object of mass M is defined as 2GM RBH = - where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99...
2. The potential energy of two masses, m, and m, separated by a distance r is given by: Gm.my VO) --- G 6.67X10" J m ka? Suppose a particle of mass m has a velocity v perpendicular to the earth's surface. Show that the minimum velocity that the particle must have in order to escape the earths surface 2GM. von Roth Then, considering that Mon = 5.98x1024 kg and Ron = 6.36x10m is its mean radius, calculate the escape velocity...
please explain the answer
4) The escape velocity on the surface of a planet is given by 2GM R where G = 6.67 x 10-11m2 kg-1 3-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v in terms of average mass density p. Recall...
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