Weight of the object is defined as
[tex]W = mg[/tex]
here
m = mass of object
g = acceleration due to gravity
now at the surface of earth
[tex]g = \frac{GM}{R_e^2} [/tex]
so given that
[tex]mg = 100 N[/tex]
now when it is moved to distance 2Re from the surface so its distance from the center of earth will be given as Re + 2Re = 3Re
so acceleration due to gravity will be given as
[tex]g' = \frac{GM}{(3R_e)^2} = \frac{GM}{9R_e^2}[/tex]
so now weight is given as
[tex]W = m*\frac{g}{9}[/tex]
[tex]W = \frac{100}{9} = 11.1 N[/tex]
so now weight will be 11 N
