(a) Find the force P that must be applied to a piston of area 11.60 cm 2 to prod

Question

(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 11,751 N by means of a column of fluid of cross sectional area 255 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.


Compare your answer with the answer to part b.

Explanation / Answer

a) P/11.60= 11751/255

==> P= 534.55 N

b) increase in the car's gravitational potential energy = W*h=11751*1=11751 J

c) by conservation of volume

h1*A1=h2*A2

==> 1*11.60=h2*255

==> h2 = 0.04548 m

d) Work done by P= P*h2= 534.55*0.04549 = 24.316 J

it s way less than in part b

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