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