The masses of the earth and moon are 6 × 10 24 kg and 7 . 4 × 10 22 kg , respectively. The distance between them is 3 . 84 × 10 5 km . Calculate the gravitational force of attraction between the two. Use G = 6 . 7 × 10 - 11 N m 2 kg - 2 .

Given that, The mass of the earth is M e = 6 × 10 24 kg . The mass of the moon is M m = 7 . 4 × 10 22 kg . The distance between the earth and the moon is R = 3 . 84 × 10 5 km = 3 . 84 × 10 8 m . The universal gravitational constant is G = 6 . 7 × 10 - 11 N m 2 kg - 2 . The gravitational force between the earth and the moon is F = G M e × M m R 2 = 6 . 7 × 10 - 11 × 6 × 10 24 × 7 . 4 × 10 22 3 . 84 × 10 8 2 ∴ F = 20 . 17 × 10 19 = 2 . 02 × 10 20 N . Thus, the gravitational force between the earth and the moon is 2 . 02 × 10 20 N .

The mass of the earth is 6 × 10 24 kg . The distance between the earth and the Sun is 1 . 5 × 10 11 m . If the gravitational force between the two is 3 . 5 × 10 22 N , what is the mass of the Sun? Use G = 6 . 7 × 10 - 11 N m 2 kg - 2 .

Given that, The mass of the earth is M e = 6 × 10 24 kg . The distance between the earth and the Sun is R = 1 . 5 × 10 11 m . The gravitational force between the earth and the Sun is F = 3 . 5 × 10 22 N . The universal gravitational constant is G = 6 . 7 × 10 - 11 N m 2 kg - 2 . The mass of the Sun is M s = F × R 2 G × M e = 3 . 5 × 10 22 × 1 . 5 × 10 11 2 6 . 7 × 10 - 11 × 6 × 10 24 = 1 . 96 × 10 30 kg .