Suppose a spherical planet P has a uniform density of 4.96*10^3 kg/m^3 and a radius R=1904 km. For a parcel that weighs 73 N on the surface of the (spherical) earth, what is A) gp/ge and B) its weight on the surface of P? Using the "tunnel mail" system what is C) the delivery time in seconds to the opposite side of P? and D) the maximum velocity of the parcel in the tunnel? E) What minimum velocity must be given to the parcel to escape from the surface of P? At an orbit radius of 4.96R, what would be the parcel's F) potential energy and G) total energy? H) How long in s would it take the parcel to revolve about P in this orbit?
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