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. (The thickness of the pipe is 25cm.) To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 300 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 .
A. What should be the diameter of the pipe under the platform? Express your answer in meters.
B. If the worker pushes down with a stroke 50 cm long, by how much will he raise the car at the other end? Express your answer in millimeters.
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