ASTRO/PHYS 1040: Elementary Astronomy, Dr. Sohl, Homework Chapters 9 & 10 Due at start of class, Tuesday November 1, 2011 score: ___/45 Name: Name: Name: Part 1. Definitions and vocabulary. Match the following words with the definitions below. accretion disk gravitational contraction black hole gravitational equilibrium brown dwarf gravitational redshift Chandrasekhar limit hydrogen shell burning degeneracy pressure main sequence turnoff point electron degeneracy pressure molecular clouds escape velocity neutron degeneracy pressure event horizon neutron star evolutionary track nova general relativity planetary nebula protostar pulsar red giant Schwarzschild radius singularity special relativity stellar thermostat supermassive black hole supernova white dwarf 1. Giant, cold, dark, clouds—made mostly of hydrogen molecules—where stars are born. 1. 2. For a star to be stable it must balance the forces of gravity and gas pressure, this is… 2. 3. Gravitational equilibrium and energy balance must be maintained, this acts like a… 3. 4. The internal pressure in stars and gas giants arising from atoms having no place else to go. 4. 5. When our Sun runs out of hydrogen in its core the surrounding layers collapse and start... 5. 6. When our Sun dies it will blow its outer layers off into space and becoming a large… 6. 7. The very hot dead corpse of our Sun. This will slowly cool down in time and fade away. 7. 8. The iron core of a massive star cannot produce energy. It collapses and explodes as a… 8. 9. We use this to determine the age of a cluster of stars. 9. 10. The laws of quantum mechanics don’t allow electrons to share the same space. 10. 11. A white dwarf’s mass must be <1.4MSun or else it will collapse. This is the… 11. 12. The explosion that comes from hydrogen gas accreting onto the surface of a white dwarf. 12. 13. In these stars gravitational pressure exceeds the limit of electron degeneracy pressure. 13. 14. Neutron stars are bizarrely massive; only this keeps it from collapsing more. 14. 15. A rapidly spinning neutron star. At first we thought this might be alien communications. 15. 16. When neutron degeneracy pressure can no longer support the star it collapses into a… 16. 17. A measure of the amount of energy needed to escape from the gravity of an object. 17. 18. Einstein’s theory, published in 1915, which explains gravity and the curvature of space. 18. 19. This is the point of no return for an object entering too close to a black hole. 19. 20. The size of a black hole, this is determined by the amount of mass. 20. 21. The center of a black hole, >3MSun, is an infinitely dense, infinitesimally small particle. 21. 22. Many spiral galaxies contain one of these massive objects at their centers. 22. 23. The plot of a star’s life on an H-R diagram. 23. Part 2. Questions (2 points each, except problems 4 & 6, total = 22 points) 1. Which one property of a star will tell us almost everything we need to know about the star? 1. 2. Suppose the universe contained only low-mass stars. Would elements heavier than carbon exist? Why or why not? 3. Carefully and clearly sketch the evolutionary track of the rest of the life of our Sun on the H-R diagram shown here. I’ve marked the starting point for you. 4. (4 points) List the shells, in order from the center, for a high mass star that has an inert core of iron. There are 8 shells. Inner most shell 1. Silicon 5. 2. 6. 3. 7. 4. 8. Outer most shell 5. If you came home to visit our solar system in 10 billion years, what would you be most likely to find? 6. (4 points) The Schwarzschild radius can be calculated by knowing the mass of the black hole. The Schwarzschild radius is the radius of the event horizon and it is 3km for every one solar mass unit of mass. What would be the diameter of a black hole’s event horizon for a black hole of 4.5MSun? (You must clearly show your work to get credit and you must circle your answer.) 7. This is impossible, but, what would happen to Earth’s orbit if the Sun were to suddenly become a black hole of exactly the same mass? 8. Which of these objects would have the largest radius? (Circle it.) 1.2MSun white dwarf 1.5MSun neutron star 3.0MSun black hole 9. How do we measure the mass of the supermassive black hole at the center of our galaxy? Jupiter