A star 2.5 times the mass of the sun and collapsed to a size of 12km rotates with a speed of 1.2 rev. per second. (Extremely compact stars of this kind are known as neutron stars. Certain stellar object called pulsars belong to this category). Will an neutron stars. Certainstellar objects called pulsars belong to this category). will an object placed on its equator remain stuck to its surface due to gravity? (mass of the sun`=2xx10^(40)kg`).

Explanation

Accleration due to gravity of the star, g=`GM//R^(2)` …..(i)
Here M is the mass and R is the radius of the star.
the outward centrifugal force acting on a body of mass m at the equator of the star `=mv2//R=mR w2`
(ii) From equation (i), the accelration due to the graviyt of the star.
Since the inward force due to gravity on a body at the equator of the star is about 2.2. milion times more than the outward centrifugal force, the body will remain stuckt to the surface of the star.