The woman weighs 100N now.
Explanation:
Given:
F is given as 400N
one full additional earth radius formed
To Find:
Weight of the woman=?
Solution:
We know that gravitational force is inversely proportional to the square of radius.
[tex]f_g=\frac{1}{r^2}[/tex]
where
[tex]f_g[/tex] is the gravitational force
[tex]r^2[/tex] is the radius square
So when radius is doubled, the force becomes one fourth of the original.
Therefore [tex]\frac{1}{4} \times400 = 100N[/tex]
