Question

Find the force exerted by the earth on the moon, given that Me = 6 × 1024 kg and Mm = 7.4 × 1022 kg. Also separation between the earth and moon is 4 × 108 m.

Answer 1

Answer:

6 × 1024 = 7044

7.4 × 1022 = 83628

4 × 108 = 702

Answer 2

Gravitation force = 18.6 * 10^19 N

Explanation:

Mass of the moon = m1 = 7.4 * 10^22 kg

Mass of Earth = m2 = 6 * 10^24 kg

Distance of the moon = r = 4 * 10^8 m

Gravitational constant = 6.7 * 10^-11  m3⋅kg−1⋅s−2.

Gravitation force exerted by the earth on the moon can be calculated using the Newton's law of gravitation.

F = G * m1 * m2 / r^2

=  6.7 * 10^-11 *  7.4 * 10^22 *  6 * 10^24 / (4 * 10^8)^2

= (6.7 * 7.4 * 6 / 16) * 10^19  

= 18.6 * 10^19 N