Use the result of Exercise 35 to compute the work required to move a 1500-kg satellite from an orbit 1000 to an orbit 1500 km above the surface of the earth.

Data From Exercise 35

The gravitational force between two objects of mass m and M, separated by a distance r, has magnitude GMm/r², where G = 6.67 × 10⁻¹¹ m³kg−1s⁻¹.

Show that if two objects of mass M and m are separated by a distance r₁, then the work required to increase the aseparation to a distance r₂ is equal to W = GMm(r₁⁻¹ − r₂⁻¹).