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 (Figure 1). To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 700 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.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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 (Figure 1). To handle a full range of jobs, you must be able to lift cars up to 3000 kg , plus the 700 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.

part A) 

What should be the diameter of the pipe under the platform?
Express your answer in meters.
 
Part B)
 
If the worker pushes down with a stroke 40 cmcm long, by how much will he raise the car at the other end?
Express your answer in millimeters.
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