A Global Positioning System (GPS) satellite is in a circular orbit 12,580 mi above the surface of the earth and completes one orbit every 12 h. Knowing that the magnitude of the linear momentum of the satellite is 750 × 103 lb ⋅ s and the radius of the earth is 3960 mi, determine

(a) The mass of the satellite,

(b) The weight of the satellite before it was launched from earth.