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).

The Viking Explorer approaches the planet Mars on a parabolic trajectory as shown. When it reaches point A its velocity is 10 Mm/h. Determine r0 and the required change in velocity at A so that it can then maintain a circular orbit as shown. The mass of Mars is 0.1074 times the mass of the earth.