Where, = Weight
= mass
= Acceleration due to gravity
Since, mass is constant all the time, so,
........2
And we also know that ,
Where, = Gravitational Constant
= Radius of earth
= Mass of earth
So, .......... 3
From equations and , we get ,
Since is minimum at poles , and weight is maximum at poles and similarly since is maximum at equator, so weight is minimum at equator.
Hence, we weigh more at poles than at equator