If a drone is designed, such that it applies a constant force equal to it's weight ($mg$) on air, to maintain a constant elevation (say of 10 meters). What will happen when considerable time has passed, taking into account the earth's rotation?
By the FBD of the drone, it's downward force, $mg$, and upward force, $mg$, yields net $F=0$, it only has a constant velocity, it acquired when it was in contact with surface, due to rotation of the earth.
So, it should just start drifting away from earth's atmosphere. But it doesn't, why?
Take the assumption that $g$ doesn't change with respect to height, also any other suitable conditions to simplify things...
It will be easy for me to understand things if up to graduation level mathematics is used.
