2. (20 points) The gravitational force between two objects is F = 100N, determine the following: (a) The force between the objects is the distance is twice the original distance. (b) The force between the objects if the distance between them is half of the original distance. (c) The force between the two objects if the mass of one the objects is increased to three times the original mass. (d) If the mass of one object is four times the original mass and the mass of the other object is half the original mass, find the force between the objects. Page 3 3. (10 points) Determine an expression for the velocity of an object orbiting the Earth at a distance r from the center of the Earth by setting the Centripetal force equal to the gravitational force.