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

Question

(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 11,251 N by means of a column of fluid of cross sectional area 310 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.

(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 11,251 N by means of a column of fluid of cross sectional area 310 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

P= 11251*10.10/310 = 366.565 N of force is required b) 11251 J c) x*10.10 = 1*310 x = 30.7 m d) P*x = 11253.5455 e) ans in part d is more than that in b because part of work done is used in increasing the PE of water also.

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