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

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 space shuttle is launched with a velocity of 17 500 mi/h parallel to the tangent of the earth's surface at point P and then travels around the elliptical orbit. When it reaches point A, its engines are turned on and its velocity is suddenly increased. Determine the required increase in velocity so that it enters the second elliptical orbit. Take slug, and = 3960mi, where 5280 ft = mi.