1) When speed increases, more centripetal force is needed to maintain the circular motion. If the frictional force is not enough, the car will skid off the track.
2) The steam force creates a clockwise moment on the valve, and if it is greater than the counter-clockwise moment from the weight W, the valve will open.
3) As the girl walks down, her gravitational potential energy is converted to kinetic energy and other forms of energy like heat as she stops at the bottom.