(a) Suppose that F is an inverse square force field, that is, for some constant c, where
(a) Find the work done by F in moving an object from a point along a path to a point in terms of the distances and from these points to the origin.
(b) An example of an inverse square field is the gravitational field discussed in Example. Use part (a) to find the work done by the gravitational field when the earth moves from aphelion (at a maximum distance of km from the sun) to perihelion (at a minimum distance of km). (Use the values and .)
