The Earth and the Moon may be considered to be isolated in space with their masses concentrated at their centres. The orbit of the Moon around the Earth is circular with a radius of 
. The period of the orbit is 
. Show that:
the angular speed of the Moon in its orbit around the Earth is 
,
the mass of the Earth is 
.
The mass of the Moon is 
. Using data from above, determine the gravitational force between the Earth and the Moon.
.
