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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 5.0 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.



Answer :

The greatest possible angular speed an object can have is 46072.3431  rad/s.

What exactly does gravity mean?

Any two objects with mass are drawn together by the gravitational force. The gravitational force is known as. According to F=Gm₁m₂/r², the direction of force will always point in the direction of the opposing mass along the line connecting the two bodies. It is an alluring natural force.

The gravitational force will balance the centripetal force,

GmM/R² = mRω²

ω = √GM/R³

ω = √6.67 × 10⁻¹¹ × 2 × 1.989×10³⁰/5000³

ω = √2.653×10²⁰/5000³

ω = √2.653×10²⁰/1.25×10¹¹

ω = √2.122×10³¹

ω = 46072.3431 rad/s.

The greatest possible angular speed an object can have is 46072.3431  rad/s.

To know more about gravitational force visit:

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