Respuesta :
Answer:
[tex]8000\ N[/tex]
Explanation:
The question is incomplete.
The complete question would be
B) Suppose the magnitude of the gravitational force between two spherical objects is 2000 N when they are 100 km apart. What is the gravitational force [tex]F_g[/tex] between the two objects described in Part B if the distance between them is only 50 km.
Given gravitational force between two object [tex]F_g=2000\ N[/tex] when objects are placed [tex]100\ km[/tex] apart.
We need to determine gravitational force when they are kept [tex]50\ km[/tex] apart.
As we know the gravitational force [tex]F_g[/tex] is inversely proportional to the square of distance between objects [tex](d)[/tex].
[tex]F_g=\frac{K}{d^2}[/tex]
Where [tex]K=Gm_1m_2[/tex] that will be constant. Because the mass of the object remain same in both cases. And [tex]G[/tex] is already gravitational constant.
Given,
[tex]2000=\frac{K}{100^2}\\ So,\ K=2000\times 100^2[/tex]
Let [tex]F'_g[/tex] is the force between objects when they were kept [tex]50\ km[/tex] apart.
[tex]F'_g=\frac{K}{50^2} \\\\F'_g=\frac{2000\times 100^2}{50^2}\\ \\F'_g=2000\times 4=8000\ N[/tex]
So, [tex]8000\ N[/tex] is the gravitational force when two objects were kept [tex]50\ km[/tex] apart.
