In the following problems, except where otherwise indicated, assume that the radius of the...

In the following problems, except where otherwise indicated, assume that the radius of the earth is 6378 km, the earth's mass is 5.976(1024) kg, the mass of the sun is 1.99(1030) kg, and the gravitational constant is G = 66.73(10−12)m3/(kg • s2).

Upon completion of the moon exploration mission, the command module, which was originally in a circular orbit as shown, is given a boost so that it escapes from the moon’s gravitational field. Determine the necessary increase in velocity so that the command module follows a parabolic trajectory. The mass of the moon is 0.01230 Me.