a) Find the force P that must be applied to a piston of area 12.10 cm 2 to produ

Question

a) Find the force P that must be applied to a piston of area 12.10 cm2 to produce sufficient fluid pressure to support a car weighing 12,051 N by means of a column of fluid of cross sectional area 345 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.

Find the force P that must be applied to a piston of area 12.10 cm2 to produce sufficient fluid pressure to support a car weighing 12,051 N by means of a column of fluid of cross sectional area 345 cm2 as seen in the figure below. Find the increase in the car's gravitational potential energy when it is raised 1.00 m. How far must the smaller piston move in order for the larger one to move 1.00 m? Calculate the work done by P in moving the smaller piston. Compare your answer with the answer to part b.

Explanation / Answer

pressure is same every where is in compressible fuid

Pressure = force/area

F1/A1 = F2/A2

P/12.10 = 12051 /345

P = 422.66 N

incarease in p.e = mgh

= 12051 *1

= 12051 J

A1*s = A2*1

s = 28.51 m

work done = 422.66 *28.51

= 12051 J

which is same as increase in p.e

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