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1. What is the mass of the core of the Sun?

2. What percentage of the present mass of the core of the Sun is hydrogen?

3. If all the hydrogen is involved in the fusion of hydrogen into helium, how much total energy will be produced?

4. Two identical stars, A and B, have apparent magnitudes of +4 and +9, respectfully.
a. Which star is farther away from the observer?
b. How many times brighter is the closer star than the farther star?
c. If the absolute magnitude of star B is +5, what is the distance to star B?
d. Star A has a parallax angle of 0.1 second of arc. What is the distance to star A? What is star A's absolute magnitude?

5. Which star will spend less time on the main sequence, a K5 star or an A5 star? Why?

6. Calculate the Schwarzschild Radius of a black hole with a mass of 5 solar masses. Show all work and logic.

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