You slide forward on the frictionless seat at the same velocity that the bus was traveling prior to the stop
Explanation:
From the law of inertia, an object will remain at rest or move at a constant speed in a straight line unless it is acted on by an unbalanced force. Since you were riding, you will maintain the speed of car even after application of instantaneous brakes. In the process, you slide forward on the frictionless seat at the same velocity that the bus was traveling prior to the stop.
When you use a compound pulley the force required depends on the mechanical advantage of the compound pulley. This is known as rate of loss of distance or the ratio of the force to the load.
M.A = Effort distance /Load distance. OR M.A = Load/Effort