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Astronomy I Ex.2 1. Convert the following distances into distances in cm: a) 1 Lyr. b) 50 Mpc. c) 100,000 AU. 2. H0 ' 70 secKm M pc What is the (approximate) age of the universe in Gyr? 3. Convert the following distances in cm to distances in AU: a) Approximate distance from the earth to the sun: 1.44 × 1013 cm b) Approximate distance from the earth to the next nearest star - Alpha Centauri: 3.97 × 1018 cm c) Approximate distance from the earth to a galaxy in the Virgo constellation: 4.91 × 1025 cm 4. There are ∼ 1012 stars in a galaxy, and the radius of the galaxy is 20 Kpc. What is the velocity of a star at the edge of the galaxy. (relative to the galaxy’s center)? * Assume the average mass of a star is one solar mass. 5. If a star has a parallax of 0.1 arcsec, what is the distance in pc from the star to us? 1