Respuesta :
By definition, the gravitational force is given by:
[tex]Fg = -Gm1m2 / r ^ 2 [/tex]
Where,
m1 and m2: are the masses of the objects
G: is the gravitational constant
r is the distance between the objects' centers
The vertical asymptote of the function occurs when the denominator is equal to zero.
We have then:
[tex]r ^ 2 = 0 r = 0[/tex]
In this context, it means that physically, the distance between the center of the objects can not be equal to zero (which is logical).
[tex]Fg = -Gm1m2 / r ^ 2 [/tex]
Where,
m1 and m2: are the masses of the objects
G: is the gravitational constant
r is the distance between the objects' centers
The vertical asymptote of the function occurs when the denominator is equal to zero.
We have then:
[tex]r ^ 2 = 0 r = 0[/tex]
In this context, it means that physically, the distance between the center of the objects can not be equal to zero (which is logical).
Answer:
Examine the denominator and find that
r^2 = 0 when r = 0.
Determine that there is a vertical asymptote at r = 0.
Conclude that as the distance between the objects approaches 0, the gravitational force between them approaches infinity.