(a) Find the force P that must be applied to a piston of area 11.10 cm 2 to prod

Question

(a) Find the force P that must be applied to a piston of area 11.10 cm2 to produce sufficient fluid pressure to support a car weighing 10,901 N by means of a column of fluid of cross sectional area 315cm2 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) A1 =11.10 cm2                 A2 =315 cm2          F2 = 10,901 N

F1 = (A1/A2) F2 = (11.10/315)* 10,901 = 384.13 N

P= F1/A1= 384.13/11.10 =34.3606 Pa.

b)Gravitational potential energy = m g h = 9.8 * 1.00 * m= m*9.8 Joule

c)F1d1=F2d2                  d1= F2d2/F1               d1= 10901* 1.00/384.13=28.378 m

d) workdone = F1 * d1 = 384.13 * 28.378 = 10900.84 Joule.

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