An earth satellite of mass 700 kg is launched into a tree-flight trajectory about the eart...

An earth satellite of mass 700 kg is launched into a tree-flight trajectory about the earth with an initial speed of vA = 10 km/s when distance from the center of the earth rA = 15 Mm. If the launch angle at this position is ϕA = 70°, determine the speed vB of the satellite and its closest distance rB from the center of the earth. The earth has a mass Me = 5.976(1024) kg. Hint: Under these connditions, the satellite is subjected only to the earth’s gravitational force, F = GMems/r2, Eq. 13-1. For part of the solution, use the conservation of energy.