Every once in a while someone suggests that we (the human race) could get rid of dangerous materials such as radioactive waste by "dropping it" into the Sun or "throwing it" out of the Solar System. Compare these methods as directed below. Assume that the dangerous materials are initially removed from the Earth and moved far enough along the Earth's orbit so that the mass of the Earth is unimportant: it is placed into a circular orbit around the Sun at 1.0 A.U. Ignore any further effect by the Earth. a. What is the velocity of this material in its initial orbit around the Sun? b. What velocity must this material be set/changed to in order for it to escape from the Solar System starting at this initial orbit? c. What velocity must the material be set/changed to in order for it to fall into the Sun? Calculate the velocity for the orbit that just touches the surface of the Sun at perihelion. d. Which method is easier (i.e. requires less change in velocity