Suppose that a planetary nebula is 1.0 pc in diameter and the Doppler shifts in its spectrum show that it is expanding at 30 km/s. How old is it? (Note: 1 pc = 3.1 × 1013 km and 1 yr = 3.2 × 107 s. Hint: See Problem 3.)
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3. If the Ring Nebula is about a light-year in diameter and expanding at a velocity of 15 km/s, typical of planetary nebulae, how old is it? (Note: To 2 digits of precision, 1 ly = 9.5 × 1012 km, and 1 yr = 3.2 × 107 s.)
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