# (Solved): Please show work so I can study from it :) 1. A hydraulic system is represented schematically by thi ...

Please show work so I can study from it :)

1. A hydraulic system is represented schematically by this picture, in which a force acting on a small piston of area can support a car on a large piston of area which applies an upward force . The small piston labeled has a radius of , and the large piston holding up the car has a radius of . (Both are cylindrical.) The height is equal to , and the oil used to fill the system has a density of . (a) The car and large piston together have a weight of . What is the (gauge) pressure they produce at point , the lower surface of the piston? (b) What is the pressure at point , on the other side of the system? (c) What is the pressure at the lower surface of the small piston? (d) What force is needed to support the weight of the car? (That is, what force is necessary to produce the pressure that you found in part (c))?

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