In the novel rendezvous with rama by arthur c. clarke, rama is a gigantic space craft of alien origins. it is detected passing jupiter's orbit at a velocity towards the sun of 100 000 km/h. upon closer observation it is found that rama is a perfect cylinder; the interior is 50 km long with a diameter of 16 km; and it rotates once every 4 minutes. (a) is rama in an orbit bound to the sun? (jupiter's orbital radius is 5au) (b) is there gravity inside rama? if so how strong is it? could there be a breathable atmosphere with this gravity? (c) access to the interior is from airlocks located at the centre of the ends of the cylinder. there are then a series of ladders and stairs from the centre to the "surface" of rama. as the astronauts climb down the ladder they feel a force perpendicular to the ladder why is this? which direction is it in? (d) halfway along the long axis of rama in the interior there is a moat along the curved surface that forms a annular or cylindrical "sea". it is 10 km wide, with only a shal- low retaining cliff on one end but a 500 m high cliff at the other end. what is the maximum acceleration possible without the sea going over the high cliff? (e) assuming that rama's skin is about 1 km thick and that it's made out of material the same density as steel, how much rotational energy is stored in the rotation?