Chapter 11, Problem 87P

(a)

To determine

Tocalculate: The work done to move the particle from distance $r_1$ to distance $r_2$

(b)

To determine

To Show:When $r_1=R_E$ and $r_2=R_E+h$ , the result can be written as $W=mg{R}_E^2\left[\left(1/R_E\right)-1/\left(R_E+h\right)\right]$ .

(c)

To determine

To Show:When $h<<R_E$ , the work is given approximately by $W=mgh$ .