A block is released from rest at point A, and it slides down a frictionless curved slope to point B. It continues to slide, with friction, along a horizontal section until it comes to rest at point C. Point A is a height h above point B. A time t elapses as the block travels the horizontal distance x from point B to point C. Write an expression for h. Your answer should be in terms of x, t, and the acceleration due to gravity, g. (Apply the work-energy theorem to the block’s motion from A to B.)