Question

he force of gravity between two objects is given by  Fg = −Gm1m2 r2 , where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the objects' centers. Find the vertical asymptote of the graph of the function and explain its meaning in context.

Answer 1

By definition, the gravitational force is given by:
 $Fg = -Gm1m2 / r ^ 2$
 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:
 $r ^ 2 = 0 r = 0$
 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 2

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.