______ and ______ play the same role in case of fluids as force and mass play in case of solids
Thrust and density
Pressure and density
Pressure and thrust
Thrust and volume
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The two thigh bones, each of cross-sectional area support the upper part of a human body of mass . Estimate the average pressure sustained by the bones. Take
Total cross-sectional area of the thigh bones
Force acting on the bones
A vessel containing water is given a constant acceleration ' ' towards the right along a straight horizontal path. Which of the following diagrams represents the surface of the liquid?
None of these
Let us consider a small dotted segment of thickness for observation.
Since, this segment is accelerated towards right, a net force is acting in this segment towards right from the liquid towards the left of . According to Newton's third law, the
segment will also apply a force on the previous section creating a pressure on it which makes the liquid rise.
Liquid pressure depends upon
area of the liquid surface
shape of the liquid surface
height of the liquid column
directions
Liquid pressure depends upon the height of liquid column and is independent of the shape of liquid surface and the area of liquid surface. The liquid at rest exerts equal pressure in all directions
The pressure at the bottom of a tank containing a liquid does not depend on
acceleration due to gravity
area of the bottom surface
nature of the liquid
i.e., pressure does not depend upon the area of bottom surface.
The force acting on a window of area of a submarine at a depth of in an ocean, interior of which is maintained at sea level atmospheric pressure is (Density of sea water )
The pressure outside the submarine is
Pressure inside the submarine is .
Net pressure acting on the window is
Area of window is
Force on the window is
A hydraulic automobile lift is designed to lift vehicles of mass . The area of cross-section of the cylinder carrying the load is . The maximum pressure the smaller piston would have to bear is
[Assume ]:
Area of cross section,
maximum pressure
A boy can reduce the pressure in his lungs to of mercury. Using a straw he can drink water from a glass upto the maximum depth of (atmospheric pressure of mercury; density of mercury )
Pressure difference between lungs and atmosphere of
of of
Let the boy can suck water from depth . Then
Pressure difference of
or,
The boy can suck water from the depth of
What is the absolute pressure of the gas above the liquid surface in the tank shown in fig. Density of oil , density of mercury . Given 1 atmospheric pressure .
Mass of liquid in horizontal portion of U-tube = Adp Pseudo force on this mass Adpa
Force due to pressure difference in the two limbs
Equating both the forces
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