In 1993 the spacecraft Galileo sent an image (Fig. 13-48)

Chapter , Problem 56

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In 1993 the spacecraft Galileo sent an image (Fig. 13-48) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroidmoon system. In the image, the moon, which is 1.5 km wide, is 100 km from the center of the asteroid, which is 55 km long.Assume the moons orbit is circular with a period of 27 h. (a) What is the mass of the asteroid? (b) The volume of the asteroid, measured from the Galileo images, is 14 100 km3 . What is the density (mass per unit volume) of the asteroid?

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