Calculate the escape speed from the Earth for a 4800 kg spacecraft and determine the kinetic energy it must have at the Earth's surface to move infinitely far away from the Earth. Suppose the rocket was initially on a circular orbit around Earth with a period of 1.2 days.
(a) What is its orbital speed?
(b) If we want to propel a portion of the rocket to infinity (in the direction tangential to the circular orbit), what's the escape speed from there?