Design a hydraulic lift that could lift a 5000 N object 2 meters with an input force of 1000 N acting on an area of 1 m2. Describe the pressure relationship by stating the associated principle. Include the relationship between the input piston surface area and the output piston surface area by giving the ratio of two surface areas. Describe the relationship between the amount of input work and output work. Finally, calculate the distance the input piston must travel to accomplish the given task.