Newton’s law of gravitation states that the attraction between an object of mass and a...

Newton’s law of gravitation states that the attraction between an object of mass and an object of mass is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance r between the centers of mass of the objects.

a. Write a functional relationship expressing this force in terms of the distance r , assuming that the masses remain constant.

b. What restrictions must be put on the domain of this function if it is to describe the physical situation?

c. Sketch the graph of the function.