Hi, can you help me respond to each part of the problem by using physics concepts or formulas? Please also provide a response to each prompt as well as all of the necessary math/formula/conceptual steps so that I can check my own work. This question may involve Force Body Diagrams, Force Balance Equations, Acceleration, Kinetic/Static Friction, Kinetic Energy, Rotational Kinetic Energy, Torque, Conservation of Mechanical Energy, Moment of Inertia, or other Physics concepts.

(Please no reposts!) There is no missing information, all necessary information may be obtained via research on the internet.

Practice Problem: Millisecond pulsars The fastest spinning stellar object known is a neutron star spinning at 716 Hz (1 hertz is a full rotation per second). It ashes us like a lighthouse beacon with a period of about 1.4 ms, hence the name millisecond pulsar. This extreme object has as much as twice the mass of the Sun compressed into a sphere of mostly neutrons with a radius at most 16 km. How could such a massive object. spin so fast? Fewer than 0.5% of all stars are more massive than 8 times the mass of the Sun. After these massive stars \"burn\" through their nuclear fuel, they lose their thermal pressure to support their massive weight and collapse in on themselves by their own gravity. Just as a gure skater speeds up by pulling her arms and feet close to her spin axis, the core of these massive stars spins up in one of the most dramatic events in the universe: a core-collapse supernova. Much of the mass of the star is blown off in an unbelievably large explosion7 while the core of the parent star collapses into a new neutron star. (a) What is the tangential speed of the equator of the neutron star? Give your answer as a percentage of the speed of light. (b) Astrophysicists can calculate that the radius of the stellar core shrinks by a factor of 512 to form the neutron star. \\Vhat can you say about the rotation rate of the stellar core before it collapsed, despite never observing it. directly? (c) Calculate the change in rotational kinetic energy. Express your answer as a multiple of the initial kinetic energy of the rotating stellar core? (d) (Optional) If you calculated a change in kinetic energy, where did that energy go or where did that energy come from