Calculate the rate of mass loss through Hawking radiation for Sagittarius A.
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- Assume that the mass of the core of a star that just went Supernova type II is $2.5 \mathrm{M}_{\odot}$ before and after the collapse, while the Radius changes from $10^3 \mathrm{~km}$, before the collapse, to 12 km , after the collapse respectively.(a) What is the change in potential energy of the core between the two stages before and after the collapse?(b) Knowing that the luminosity of the Sun is $4 \times 10^{26} \mathrm{~W}$ how many years would it take the Sun to release the same amount of energy?Calculate the gravitational redshift of radiation of wavelength 550 nm that is emitted from a neutron star having a mass of 5.8 x 1030 kg and a radius of 10 km. Assume that the radiation is being detected far from the neutron star.Explain why mass exchange can proceed very rapidly if the mass-losing star is the more massive of the pair.
- The Virgo cluster has a distance of about 17 Mpc from the earth. Using Hubble's law, determine the recessional velocity Vr to this cluster.What is the escape velocity (in km/s) from the surface of a 1.1 M neutron star? From a 3.0 M neutron star?How can a neutron star in a binary system generate X-rays?