The 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.

Graph has a vertical asymptote at r = 0, implying an infinite gravitational force.

Given :

where G is the gravitational constant, and are the masses of the objects and r is the distance between the objects centers.

Solution :

As the given formula we can see that,

When r gets smaller the gravitational force increases imply that when the two objects are touching, is highest. But the mass of an object is focussed at its centre, the centre of mass. When the objects are touching their centres of mass are still separated.

Graph has a vertical asymptote at r = 0, implying an infinite gravitational force.

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