Assume that a spherical planet P consists of a uniform density of around 4.72*10^3 kg/m^3 and a radius of R = 3604 km. For a parcel which weighs 64 N on the surface of the (spherical) earth, determine (i) gp/ge and (ii) its weight on the surface of P? By using the ‘tunnel mail’ system determine (iii) the delivery time in seconds to the opposite side of P? And (iv) the maximum velocity of the parcel in the tunnel? (v) Determine what minimum velocity should be given to the parcel to escape from the surface of P? At an orbit radius of around 4.72 R, what would be the parcel's (vi) potential energy and (vii) net energy? (viii) Determine how long in s would it take the parcel to revolve about P in this orbit?