What is the orbital period of a comet nucleus at the inner edge of the Oort Cloud (10,000 AU)? What is its orbital velocity? Assume a circular orbit. (Hint: Use Kepler's third law . P% aAU.) (N otes: The circumference of a circle is 2m 1 AU = 1.5 × 108 km 1 day = 86,400 seconds.)

Oa. 1 million years; 300 m/s.
b. 32 million years; 400 km/s
c, 32 million years; 9 m/s. O
d. 1 million years; 110 m/s.