The proof that the Schwarzschild radius for a star with mass equal to that of earth is 8.9 mm .

Question

Want to see the full answer?

Answer 1

Question

Chapter 44, Problem 19P

To determine

The proof that the Schwarzschild radius for a star with mass equal to that of earth is 8.9 mm.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

*39 Will the universe continue to expand forever? To attack this question, assume that the theory of dark energy is in error and that the recessional speed v of a galaxy a distance r from us is determined only by the gravitational interaction of the matter that lies inside a sphere of radius r centered on us. If the total mass inside this sphere is M, the escape speed v, from the sphere is v. = V2GMIT (Eq. 13-28). (a) Show that to prevent unlimited expansion, the aver- age density p inside the sphere must be at least equal to ЗН 87G (b) Evaluate this "critical density" numerically; express your an- swer in terms of hydrogen atoms per cubic meter. Measurements of the actual density are difficult and are complicated by the pres- ence of dark matter.

31) If G is given by 6.67 X 10-11 and the mass of the Sun is 1.98 X 1030 kg, what would be the radius of the Sun if it could be condensed into a black hole? A black hole is an object for which the escape velocity (2GM/R)½ is c the speed of light. For comparison the radius of the Sun is 6.958 X105 km.

(c) In the case of a binary-star system, with stars of mass my and m2 separated by a distance r, the period, T, of the system is given by T²= (d) D 472 Show from first principles that di, the orbital radius of the star of mass mi, is given by G (m₁+ m₂) +3 d₁=m₂ GT² 4π² (m₁ + m₂) ² ³