Why is the weight of an object on the moon \(\frac{1}{6} \) th its weight on the earth?

The weight of an object on the moon is \(\frac{1}{6} \) th its weight on the earth because the gravitational attraction on the moon is about one sixth, as the moon’s mass is \(\frac{1}{100} \) times the mass of earth and radius is \(\frac{1}{4} \) times the earth’s radius. Thus, an object’s weight on the moon is \(\frac{1}{6} \) th its earth weight.