In: Physics
Consider a pulsar, a collapsed star of high extremely high density with mass M equal to that of the Sun (2.0E30 kg), a radius R=14000m, and a rotational period T=0.023sec. A 15500kg, man made satellite is planed to place in orbit of this start. A)Find the gravity at the surface of the Star? B)The escape velocity from the surface of the star. C) The height of the satellite? D) The orbital speed of the satellite? E) To what size the pulsar must collapse to become a black hole?
In the above stated question, as nothing is mentioned about the orbit of the satellite, the only assumption we can make is that it is a geostationary satellite.
When the escape velocity of any given object becomes greater than the speed of light, i.e., impractical speed to achieve, the other objects never escape from the gravitational influence of that object, hence it acts like a black hole.