(a) Find the force P that must be applied to a piston of area 10.60 cm2 to produ

Question

(a) Find the force P that must be applied to a piston of area 10.60 cm2 to produce sufficient fluid pressure to support a car weighing 11,951 N by means of a column of fluid of cross sectional area 265 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.

UPDATE: http://www.webassign.net/colfunphys1/11-p-011.gif

Explanation / Answer

A1 = 10.6 cm^2 ,w =11951 N, A2 = 265 cm^2

Pressure is constant on two areas

Pressure =force/area

P/A1 =w/A2

P = w(A1/A2)

P = (11951)(10.6/265)

P = 478.04 N

(b) h = 1m

Uf - Ui =mgh -0 = (11951*1)

Increase in gravitational potential energy =11951 J

(c) Ratio = A2/A1 =265/10.6 = 25

Distance travelled by smaller cylinder d = 25*h =25 m

(d) Work done by smaller piston = chnage in potential energy = Ui -Uf

W = P*d = 478.04*25

W = 11951 J

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