(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 10,001 N by means of a column of fluid of cross sectional area 285 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?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
(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.
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