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23 Nov 2019

To what radius would a star of mass 2.13 1030 kg have to be contracted for its escape speed to equal the speed of light? (Black holes have escape speeds greater than the speed of light; hence we see no light from them.)

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Jamar Ferry
Jamar FerryLv2
25 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. The escape speed Vis the minimum speed needed to project a mass m upward from thesurface of another
mass M (such as a planet, asteroid, or star). It is given byusing:

M = 1.99 × 1030 kg ,

G= gravitational constant 6.67 x10-11 N*m2/kg2

R = 6.96 × 108m. is the radius of thesurface from the center of M

v=√2GM ====>>>>>> v= 6.1758 x105 m/s

R
a) Suppose the Sun mysteriously begins to contract. What would bethe radius for which v escape fromthesurface equals the speed of light c? [This radius is known as theSchwarzschild radius. Anything thrown from that surface willeventually fall back on the surface. Interestingly Newton’suniversal gravitation and Einstein’s general relativity predict thesame value fo the Schwarzschild radius.]

b) Find the Schwarzschild radius for Earth’s mass 5.97 ×1024 kg.

In a double-star system, two stars of mass 3.0 x 1030 kg eachrotate about the system's center of mass at a radius of
1.0 x 1011 m. (a) What is their common angular speed? (b) If ameteoroid passes through the system's center of mass
perpendicular to their orbital plane, what minimum speed must ithave at that point if it is to escape to "infinity" from
the two-star system?

At what temperature would the rms speed of a carbon monoxidemolecule equal the following speeds? (Note: The mass of a carbonmonoxide molecule is 4.648 10-26 kg.)

(a) the escape speed from Earth, 1.12 104 m/s

(b) the escape speed from the Moon, 2.37 103 m/s

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