Respuesta :

Her weight at the height of R will be 100 N

Explanation:

The weight of the body on the surface of earth can be found by the relation

W₁ = [tex]\frac{GMm}{R^2}[/tex]                        I

Here G is gravitational constant and M is the mass of earth .

m is the mass of the body

and R is the radius of earth  or the distance of body from the center of the earth .

Now  she moves to height equal to R . Thus the distance from center of earth becomes 2 R .

Thus Weight now is W₂ = [tex]\frac{GMm}{(2R)^2}[/tex]                   II

Dividing II by I , we have

[tex]\frac{W_2}{W_1}[/tex] = [tex]\frac{1}{4}[/tex]

But W₁ = 400 N

Thus W₂ = [tex]\frac{400}{4}[/tex] = 100 N