Not to argue. I just find it a fun exercise. I would simply rule that the occupant takes no damage. Because magic.
I think we can agree that the sphere magical. There is no need for the sphere itself to obey Newtonian physics. Correct?
Probably my biggest mistake is trying to describe the walls of the sphere in terms of a physical construct, because it is not. It has influence on some aspects of the physical world, but it is not what we would consider normal matter and does not need to obey Newtonian laws of physics. (BTW massless particles
do break Newtonian laws, there was this guy Einstein who had to make up new rules because of it.)
We know the sphere weighs nothing. It is impervious to weapons, [magical] energy and spells. We know it (and therefore it's occupant) can be moved. I always assumed it was simply a spherical wall of force that surrounded a creature that can move and be moved (unlike a wall of force). Normal weapon attacks are not going to jostle the sphere enough to cause damage to the occupant, falling is an edge case that is not mentioned in the rules.
I see no reason to believe the occupant of the sphere would not obey basic laws of momentum, velocity and acceleration.
Hence the creature follows Newton's first law: an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
If there is a change in velocity of the sphere, the occupant will continue moving in the same direction at the same velocity until acted on by an unbalanced force. That "unbalanced force" in this case is the interior wall of the sphere. There doesn't have to be any conservation of momentum, force or energy in the traditional sense because the occupant is not interacting with a physical object.
If you want to state that the sphere has magical inertial dampers, or drifts down slowly to the ground, that's fine.
If you say that the occupant of the sphere is effectively in a non-Newtonian dimension while in the sphere, that is also works. At that point I would say the sphere and occupant are now effectively weightless (or an insignificant weight), and any movement is simply a property of the magic.
I still like to think of the sphere is a spherical wall of force. You could hit a wall of force with a freight train and the wall would absorb the impact in a way a physical wall could not. If you had a horizontal wall of force and fell onto that wall from a significant height, you would go splat.
However ... it being simply a spherical wall of force does mean a giant could hamster ball over a halfling and crush the little guy. Who happens to be unconscious and prone at the time. With no allies between him and the giant because they're over fighting the giant's shaman and they thought the halfling was safe for the moment. Because it's an evil giant. Whether that's breaking the spirit of spell is up to the DM.