(a) Find the force P that must be applied to a piston of area 11.10 cm2 to produ

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 10,251 N by means of a column of fluid of cross sectional area 260 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 = Force/area = P/11.1 = 10251/260

So, P = 437.6 N

(b) Increase in potential energy = weight*height = 10251*1 = 10251 J

(c) Volume displaced by pistons = area*displacement

So, 260*1 = 11.1*x

So, x = 23.42 m

(d) Work done = Force*displacement = 437.6*23.42 = 10251 J

This is same as calculated in part (b) which implies that work done by P is stored as potential energy in car.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.