You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end, raising the car on a platform at the other end. (See the figure .) To handle a full range of jobs, you must be able to lift cars up to 3000kg , plus the 600 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N .
1) What should be the diameter of the pipe under the platform?
2) If the worker pushes down with a stroke 50.0 cm long, by how much will he raise the car at the other end?