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Neutron stars are extremely dense objects formed from the remnants of supernova explosions. Many rotate very rapidly. Suppose the mass of a certain spherical neutron star is twice the mass of the Sun and its radius is 10.0 km. Determine the greatest possible angular speed it can have so that the matter at the surface of the star on its equator is just held in orbit by the gravitational force.

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Indranil Banerjee
Indranil BanerjeeLv3
6 Nov 2020

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Related textbook solutions

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

Related questions

Most stars maintain an equilibrium size by balancing two forces - an inward gravitational force and an outward force resulting from the star's nuclear reactions. When the star's fuel is spent, there is no counterbalance to the gravitational force. Whatever material is remaining collapses in on itself. Stars about the same size as the sun become white dwarfs, which glow from leftover heat. Stars that have about three times the mass of the Sun compact into neutron stars. And a star with a mass greater than three times the Sun's mass collapses into a single point, called a black hole. In most cases, protons and electrons are fused together to form neutrons - this is the reason for the name neutron star. Neutron stars rotate very fast because of the conservation of angular momentum. Imagine a star of mass 7.29·1030 kg and radius 9.05·108 m that rotates once in 26.0 days. Suppose this star undergoes gravitational collapse to form a neutron star of radius 12.3 km. Determine its rotation speed.

Most stars maintain an equilibrium size by balancing two forces - an inward gravitational force and an outward force resulting from the star's nuclear reactions. When the star's fuel is spent, there is no counterbalance to the gravitational force. Whatever material is remaining collapses in on itself. Stars about the same size as the sun become white dwarfs, which glow from leftover heat. Stars that have about three times the mass of the Sun compact into neutron stars. And a star with a mass greater than three times the Sun's mass collapses into a single point, called a black hole. In most cases, protons and electrons are fused together to form neutrons - this is the reason for the name neutron star. Neutron stars rotate very fast because of the conservation of angular momentum. Imagine a star of mass 5.57·1030 kg and radius 8.85·108 m that rotates once in 26.0 days. Suppose this star undergoes gravitational collapse to form a neutron star of radius 14.9 km. Determine its rotation speed.

a neutron star is formed when a star with a mass of 1.44timesthe mass of our sun collapses from approximately 2 trillionmetersto 20 km, forming a star with a density of approximately100million tons per teaspoon. The neutron star produce powerfulbeamsof x-rays and other radiations that sweep the sky like agiganticlighthouse beam. These "pulsating stars" are calledpulsars.
-A star with a radius of 2.3*108m would normally rotate at an angular speed of 2.4*10-6 rad/sec. If this star collapses to a radius of20km, find its final angular & tangential speed

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