The force with which the earth attracts an object is called the weight of the object. Calculate the weight of the moon from the following data: The universal constant of gravitation G = 6.67 × 10–11 N–m2/kg2, mass of the moon = 7.36 × 1022 kg, mass of the earth = 6 × 1024 kg and the distance between the earth and the moon = 3.8 × 105 km.
Given –
mass of the moon = 7.36 × 1022 kg
mass of the earth = 6 × 1024 kg
distance between moon and earth =3.8 × 105 km
We know that force between moon and earth can be calculated as,
Where,
G = universal gravitation constant = 
m1 =mass of first object = mass of the moon
m2 = mass of second object = mass of the earth
r = distance between the objects = distance between moon and earth
Substituting the values –
Hence, the weight of the moon is 2.0×1020 N.