Chapter 20: Problem 10
Why do we not observe planetary nebulae that are more than about 50,000 years old?
Chapter 20: Problem 10
Why do we not observe planetary nebulae that are more than about 50,000 years old?
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Get started for free. Use a telescope to observe the remarkable triple star 40 Eridani, whose coordinates are R.A. \(=4^{\mathrm{h}} 15.3^{\mathrm{m}}\) and Decl. \(=-7^{\circ} 39^{\prime}\). The primary, a 4.4-magnitude yellowish star like the Sun, has a 9.6-magnitude white dwarf companion, the most easily seen white dwarf in the sky. On a clear, dark night with a moderately large telescope, you should also see that the white dwarf has an 11 th-magnitude companion, which completes this most interesting trio.
Consider a high-mass star just prior to a supernova explosion, with a core of diameter \(20 \mathrm{~km}\) and density \(4 \times 10^{17}\) \(\mathrm{kg} / \mathrm{m}^{3}\). (a) Calculate the mass of the core. Give your answer in kilograms and in solar masses. (b) Calculate the force of gravity on a 1-kg object at the surface of the core. How many times larger is this than the gravitational force on such an object at the surface of the Earth, which is about 10 newtons? (c) Calculate the escape speed from the surface of the star's core. Give your answer in \(\mathrm{m} / \mathrm{s}\) and as a fraction of the speed of light. What does this tell you about how powerful a supernova explosion must be in order to blow material away from the star's core?
Why is SN 1987A so interesting to astronomers? In what ways was it not a typical supernova?
Imagine that our Sun was somehow replaced by a \(1-\mathrm{M}_{\odot}\) white dwarf star, and that our Earth continued in an orbit of semimajor axis \(1 \mathrm{AU}\) around this star. Discuss what effects this would have on our planet. What would the white dwarf look like as seen from Earth? Could you look at it safely with the unaided eye? Would the Earth's surface temperature remain the same as it is now?
The major final product of silicon fusion is \({ }^{56} \mathrm{Fe}\), an isotope of iron with 26 protons and 30 neutrons. This is also the most common isotope of iron found on Earth. Discuss what this tells you about the origin of the solar system.
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