A certain hydraulic system is designed to exert a force 405 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master 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

A certain hydraulic system is designed to exert a force 405 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master 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

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Question

A certain hydraulic system is designed to exert a force 405 times as large as the one put into it.

(a)

What must be the ratio of the area of the slave cylinder to the area of the master 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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(a) Find the force P that must be applied to a piston of area 11.60 cm2 to produce sufficient fluid pressure to support a car weighing 10,001 N by means of a column of fluid of cross sectional area 285 cm2 as seen in the figure below. (b) Find the increase in the car's gravitational potential energy when it is raised 1.00 m.(c) How far must the smaller piston move in order for the larger one to move 1.00 m?(d) Calculate the work done by P in moving the smaller piston.