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A hydraulic jack is designed to lift a car by exerting an output force 100 times...

  1. A hydraulic jack is designed to lift a car by exerting an output force 100 times as large as the input (see class notes). (a) What must be the ratio of the cylinder diameter on the output side to that on the input side? (b) If the input side is pushed down by 10 cm, how much does the output side move up? (The fluid volume lost on the input side is gained on the output side.) (c) Show that the work we do on the input side equals the work done on the car on the output side (as it must), assuming no frictional losses.

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