(a) Find the force P that must be applied to a piston of area 12.10 cm2 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 11,851 N by means of a column of fluid of cross sectional area 250 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)
Pressure must be same at both ends
Pressure = F/A

F1/A1 = F2/A2
P/12.1 = 11851/250
P = 573.6 N

b)
Increase in GPE = m*g*h
= 11851*1
= 11851 J

c)
Volume compressed at left end = volume incrreased at right end
A1*d1 = A2*d2
12.1*d = 250*1
d= 20.7 m

d)
Work done = Force* d
= 573.6*20.7
= 11851 J
This answer is same as that of part b

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