
Consider a white dwarf with the same mass as our sun. What would its radius need...
Consider a white dwarf with the same mass as our sun. What would its radius need to be (in Earth radii) to have an escape speed of 7000 kilometers per second?
The sun's mass is roughly 333,000 times that of the Earth. A white dwarf with the mass of our sun would be roughly the size of the Earth. What launch speed would be required to put an object in orbit around a white dwarf in kilometers per second?
a) Consider a star with the same ass as our sun but with a different radius. To escape this stur an object launched from its surface needs a speed equal to the speed of light (3 x 10m/s). What is the radius of this star? b) A satellite with mm Sooky is launched into orbit from Earth's surface. If the satellite travels in a circular orbit with speed 7000 m/s what was the speed of the satellite when it was...
Suppose our Sun eventually collapses into a white dwarf, losing about half its mass in the process, and winding up with a radius 1.0% of its existing radius. Assuming the lost mass carries away no angular momentum, what would the Sun's new rotation rate be? (Take the Sun's current period to be about 30 days.) What would be its final KE in terms of its initial KE of today?
The radius of a white dwarf, in kilometers, can be approximated
by the expression
where the mass is in solar masses and the radius is in km. A
spectral line from a white dwarf spectrum observed at a wavelength
of 540.002545207479 nm is recognized to be a line with true
wavelength 540 nm. What is the mass of the white dwarf that is
being observed?
The mass of the white dwarf is:
radius -(-8(mass)13.8) 105
radius -(-8(mass)13.8) 105
If our sun were to collapse so that all of its mass were compacted into a sphere of radius 200m, what would the escape velocity be 200 m from its surface? At what radius would the escape velocity be the same as the speed of light, c? Comment on these two answers.
After the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. (a) Calculate the average density of the white dwarf. ____kg/m3 (b) Calculate the surface free-fall acceleration. ____m/s2 (c) Calculate the gravitational potential energy associated with a 2.83-kg object at the surface of the white dwarf.
Stars much heavier than our sun will not form white dwarf, but collapse further, becoming (if condition are right) neutron stars. They result from the supernova explosion of a massive star, combined with gravitational collapse, that compresses the core past white dwarf star density to that of atomic nuclei. Eventually neutron degeneracy pressure stabilizes the collapse, just as the electron does for white dwarfs. The Fermi Energy is given by where Z/A =1 and V corresponds to volume. The neutron...
After our Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state, in which it has approximately the same mass as it has now but a radius equal to roughly the size of the Earth's radius. (a) Calculate the average density of this white dwarf if the Sun were to collapse to a radius of 6.25 x 10°m. kg/m (b) Calculate the free-fall acceleration at its surface. m/s2 (c) Calculate the gravitational potential...
After our Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state, in which it has approximately the same mass as it has now but a radius equal to roughly the size of the Earth's radius. (a) Calculate the average density of this white dwarf if the Sun were to collapse to a radius of 6.18 x 10 m. O kg/m3 (b) Calculate the free-fall acceleration at its surface. Cm/s2 (c) Calculate the...