Question

The moon has a mass of 7.34 × 1022 kg and a radius of 1.74 × 106 meters. If

you have a mass of 66 kg, how strong is the force between you and the moon?

Answer 1

$F_m = \frac{GmM_m}{R_m^2}$

G = gravitational constant

m = mass of the person

Mm = mass of the Moon

Rm = radius of the Moon

$F_m = \frac{6.673 \times 10^{-11} \times 66 \times 7.34 \times 10^{22}}{(1.74 \times 10^6)^2} \\ = 106.77 \;N$