# The force of gravity between two objects is given by (-Gm1m2)/(r2) , where G is the gravitational constant, m1 and m2 are the mass

Question

The force of gravity between two objects is given by (-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.

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1 month 2023-01-08T10:19:50+00:00 1 Answer 0 views 0

Answer ( 1 )

1. There is a vertical asymptote when r = 0, where the gravity force tends to the infinite. The equation of the vertical asymptote is r = 0.

### What is the vertical asymptote of a rational function

In this case we have the equation of the gravity force due to the interaction of two spherical objects. We notice that the gravity force is inversely proportional to the square of distance between the two objects. Thus, there is a vertical asymptote when r = 0, where the gravity force tends to the infinite. The equation of the vertical asymptote is r = 0.