Understanding Pressure: Force, Area, and Liquid Pressure

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Questions and Answers

Which of the following statements accurately defines pressure?

  • Force multiplied by area.
  • Force per unit area. (correct)
  • Area multiplied by force.
  • Area per unit force.

What type of quantity is pressure?

  • Tensile.
  • Vector.
  • Imaginary.
  • Scalar. (correct)

The pressure exerted by a force is $P$. If the area on which the force acts is doubled while the force remains constant, what is the new pressure?

  • $2P$
  • $4P$
  • $P/2$ (correct)
  • $P/4$

What is the standard unit of pressure?

<p>Pascal (Pa). (D)</p> Signup and view all the answers

How does pressure change with depth in a liquid, assuming constant density and gravitational field strength?

<p>It increases linearly. (C)</p> Signup and view all the answers

Given the equation $Δp = ρgΔh$, what does '$ρ$' represent?

<p>Density of the liquid. (B)</p> Signup and view all the answers

A container is filled with a liquid of density $ρ$. At a certain depth $h$, the pressure is $P$. If the depth is doubled to $2h$, what is the new pressure at this depth?

<p>$2P$ (D)</p> Signup and view all the answers

A force of 100 N is applied to an area of 2 $m^2$. What is the pressure in Pascals?

<p>50 Pa (B)</p> Signup and view all the answers

A barometer is used to measure:

<p>Atmospheric pressure. (C)</p> Signup and view all the answers

The height of the liquid column in a barometer decreases. Assuming constant liquid density, what could be a reason for this?

<p>Decrease in atmospheric pressure. (A)</p> Signup and view all the answers

Two divers are at the same depth, one in freshwater and the other in saltwater. Assuming saltwater is denser than freshwater, which diver experiences greater pressure?

<p>The diver in saltwater. (A)</p> Signup and view all the answers

Which alteration would increase the accuracy of pressure calculation?

<p>Ensuring force applied is perpendicular to the area. (B)</p> Signup and view all the answers

What is the relationship between force $(F)$ and area $(A)$ to maintain constant pressure?

<p>As area increases, force increases proportionally. (D)</p> Signup and view all the answers

A sharp knife cuts better than a blunt knife because:

<p>It distributes force over a smaller area, creating more pressure. (A)</p> Signup and view all the answers

In a hydraulic system, force is transmitted through a liquid. Which property of the liquid makes this possible?

<p>Its incompressibility. (D)</p> Signup and view all the answers

A cube of side length $2m$ exerts a pressure of $50 Pa$ on the ground. What is the weight of the cube?

<p>$200 N$ (A)</p> Signup and view all the answers

Why are the rear wheels of a tractor generally made large?

<p>To decrease the pressure exerted on the ground. (A)</p> Signup and view all the answers

The atmospheric pressure at sea level is approximately $101325 Pa$. What force does the atmosphere exert on a window with an area of $2 m^2$?

<p>$202650 N$ (A)</p> Signup and view all the answers

A water tank is filled to a height of 10 meters. If the density of water is $1000 kg/m^3$ and the gravitational field strength is $9.8 m/s^2$, what is the pressure at the bottom of the tank due to the water?

<p>$98000 Pa$ (C)</p> Signup and view all the answers

In a mercury barometer, if the atmospheric pressure increases, what happens to the height of the mercury column?

<p>It increases. (D)</p> Signup and view all the answers

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Flashcards

What is Pressure?

Force per unit area. Measured in N/m² or Pascals (Pa). A scalar quantity.

How does pressure change with depth in a liquid?

Pressure increases with depth due to the weight of the liquid above.

How does pressure act at a specific depth in a liquid?

Pressure acts equally in all directions at the same depth in a liquid.

What is a Barometer?

Device used to measures atmospheric pressure. It typically uses a column of liquid to balance the atmospheric force.

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What is the formula for pressure due to a liquid column?

Pressure=density x gravitational field strength x height

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Why are tractor wheels large?

The real wheels of a tractor are large to avoid sinking by reducing pressure on the ground.

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Why do sharp knives cut easily?

A sharp knife cuts easily because it concentrates force on a smaller area, increasing pressure.

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What factors affect liquid pressure?

Liquid pressure increases with depth and density of the liquid.

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What is liquid pressure?

Force exerted by liquid particles per unit area

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How does liquid pressure act?

Liquid pressure at the same depth is equal in all directions.

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What happens when a barometer is moved higher?

The height of liquid column in a barometer decreases.

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How is pressure created by gasses?

Gas molecules collide with container walls

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When will the height of liquid in a U shaped tube not change?

The height of liquid in a barometer doesn't change if liquid evaporates or the tube diameter varies.

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Study Notes

Pressure

  • Pressure is defined as force acting perpendicularly per unit area.
  • Pressure is calculated as force divided by area: pressure = force / area which is also P = F/A
  • The units for pressure are Newtons per square meter (N/m²) or Pascals (Pa).
  • Pressure is a scalar quantity
  • Pressure depends on force and area, P=F/A

Force and Area

  • Pressure varies with force and area in everyday examples.
  • Pressure at a surface produces a force at right angles to the surface.
  • The relationship between Force, Pressure and area is that Pressure is directly proportional to Force for a constant area.
  • The relationship between Force, Pressure and area is that Pressure is inversely proportional to area for a constant force
  • For constant Area: P ∝ F
  • For constant Area, Gradient = P/F = 1/Area

Liquid Pressure

  • Liquid pressure is force exerted by liquid particles due to their weight per unit area.
  • Liquid pressure is calculated as P = ρgh where:
    • P is the pressure
    • ρ is the density of the liquid
    • g is the gravitational field strength
    • h is the depth of the liquid column.
  • Liquid pressure depends on depth and density. In other words, P ∝ h
  • Liquid pressure is independent of the area of the container.
  • Liquid exerts equal pressure in all directions at the same depth.
  • Liquid maintains its level in connecting tubes due to same external atmospheric pressure.

Atmospheric Pressure

  • Atmospheric pressure can be determined using the height of a liquid column in a liquid barometer.
  • Barometers are devices used to measure atmospheric pressure.
  • Principle: P = ρgh ∝ h
  • Pressure of fluid depends upon the depth of liquid column of known density.

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