Certain neutron stars (extremely dense stars) are believed to be rotating at about 1000 rev/s. If such a star has a radius of 14
km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation
1 answer:
Answer:
minimum mass of the neutron star = 1.624 × 10^30 kg
Explanation:
For a material to remain on the surface of a rapidly rotating neuron star, the magnitude oĺf the gravitational acceleration on the material must be equal to the magnitude of the centripetal acceleration of the rotating neuron star.
This can be represented by the explanations in the attached document.
minimum mass of the neutron star = 1.624 × 10^30 kg
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Explanation:
Equation for energy balance will be as follows.
Hence,
Therefore, we will calculate the final temperature as follows.
= 868.03 R
Now, we will calculate the mass as follows.
m =
=
= 1.031 lbm
Hence,
Putting the values into the above equation as follows.
= 655.2 Btu
Thus, we can conclude that work done by paddle wheel is 655.2 Btu.