A certain hydraulic system is designed to exert a force 100 times as large as the one

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A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. 

(a) What must be the ratio of the area of the wheel cylinder to the area of the pedal cylinder? 

(b) What must be the ratio of their diameters?

(c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.

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