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(5.9) a) Find the force P that must be applied to a piston of area 10.10 cm 2 to

ID: 1305794 • Letter: #

Question

(5.9)

a) Find the force P that must be applied to a piston of area 10.10 cm2 to produce sufficient fluid pressure to support a car weighing 11,351 N by means of a column of fluid of cross sectional area 255 cm2 as seen in the figure below.

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(b) Find the increase in the car's gravitational potential energy when it is raised 1.00 m.
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(c) How far must the smaller piston move in order for the larger one to move 1.00 m?
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(d) Calculate the work done by P in moving the smaller piston.
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Compare your answer with the answer to part b.

Explanation / Answer

a) 449.59 N (F1*A1 = F2*A2)

b) 11,351 J (Weight*height)

c) 25.25 cm (11,351 / 449.59)

d) 11,351 J (Using work energy theorem).