The Earth may be considered to be a uniform sphere of radius 
with its mass of 
concentrated at its center, as illustrated below.
A mass of 
on the Equator rotates about the axis of the Earth with a period of 
day (
).
Calculate, to three significant figures,
the gravitational force 
of attraction between the mass and the Earth,
the centripetal force 
on the mass,
the difference in magnitude of the forces.
.
.
.
