(a)Find the force P that must be applied to a piston of area 11.60 cm 2 to produ
ID: 1479063 • Letter: #
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 10,951 N by means of a column of fluid of cross sectional area 270 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
from the pascal priniciple
F1/A1 = F2/A2
F1 = A1( F2/A2)
=11.60( 10951)/270
=470.48 N
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del PE = mg h = 10951 N ( 1.0) = 10951 J
(
(c)
ration of cross sectional area s = 270/11.60 = 23.27
distance travelled is s = 23.27 ( 1.0 m) = 23.27 m
(d)
W = F1 d = 470.48 N ( 23.27 m) = 10950.82 J
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