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Questions and Answers

What is the pressure at a depth of 0.50 m in water?

  • 666,400 N m-2
  • 4,900 N m-2 (correct)
  • 3,920 N m-2
  • 1,000 N m-2
  • Pressure in a liquid increases with depth.

    True (A)

    What is the formula to calculate the pressure at a certain depth in a liquid?

    P = hρg

    The density of water is ______ kg m-3.

    <p>1000</p> Signup and view all the answers

    Match the liquid to its density (in kg m-3):

    <p>Kerosene = 800 Water = 1000 Mercury = 13600</p> Signup and view all the answers

    Which principle states that an object submerged in a fluid experiences a buoyant force equal to the weight of the fluid it displaces?

    <p>Archimedes' Principle (D)</p> Signup and view all the answers

    What happens to the pressure exerted by a liquid as the depth increases?

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

    The weight of the liquid above a surface area is not a factor in determining pressure.

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

    What is the formula used to calculate work done?

    <p>W = Fs (B)</p> Signup and view all the answers

    Kinetic energy can be expressed as W = 1/2 mv^2.

    <p>True (A)</p> Signup and view all the answers

    What is the weight of an object with a volume V and density ρ?

    <p>Vρg</p> Signup and view all the answers

    An object that is completely submerged in a fluid experiences a buoyant force equal to the weight of the _____ displaced.

    <p>fluid</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Buoyancy = The upward force exerted by a fluid on an object Kinetic Energy = Energy of an object due to its motion Potential Energy = Energy stored in an object due to its position Archimedes' Principle = A principle that states the buoyant force on an object is equal to the weight of the fluid it displaces</p> Signup and view all the answers

    Which of the following statements about buoyancy is correct?

    <p>An object will float if it is less dense than the fluid. (A)</p> Signup and view all the answers

    An object can have both kinetic and potential energy at the same time.

    <p>True (A)</p> Signup and view all the answers

    The unit of work is measured in _____ (abbreviation).

    <p>J</p> Signup and view all the answers

    What is the formula that represents the buoyant force acting on an object submerged in a fluid?

    <p>F = Aρg (A)</p> Signup and view all the answers

    An object will float if its weight is greater than the weight of the water displaced.

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

    What principle explains why an object submerged in water appears to weigh less?

    <p>Archimedes' principle</p> Signup and view all the answers

    The _____ force acting on a submerged object is equal to the weight of the liquid it displaces.

    <p>buoyant</p> Signup and view all the answers

    Match the following concepts with their corresponding descriptions:

    <p>Buoyancy = Upward force experienced by an object in a fluid Archimedes' Principle = Weight of the fluid displaced is equal to the weight of the object Density = Mass per unit volume of a substance Equilibrium = Condition where forces acting on an object are balanced</p> Signup and view all the answers

    What will happen to an object if its weight is exactly equal to the weight of the water it displaces?

    <p>It will remain suspended in the water. (B)</p> Signup and view all the answers

    Submarines can navigate underwater by adjusting their weight to equal the weight of the water they displace.

    <p>True (A)</p> Signup and view all the answers

    If the density of wood is 0.5 × 10^3 kg/m³ and the density of water is 1.0 × 10^3 kg/m³, what percentage of the wood will be submerged when floating?

    <p>50%</p> Signup and view all the answers

    Flashcards

    Pressure in a liquid

    Pressure exerted by a liquid increases with depth.

    Pressure equation

    Pressure (P) = density (ρ) × depth (h) × acceleration due to gravity (g)

    Pressure increase with depth

    The deeper you go in a liquid, the greater the pressure becomes.

    Density's effect

    Denser liquids exert more pressure at a given depth.

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    Pressure unit

    Pressure is usually measured in Pascals (Pa).

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    Fluid pressure

    Pressure exerted by any fluid, whether liquid or gas.

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    Archimedes' Principle

    An upward buoyant force acts on an object submerged in a fluid.

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    Buoyancy

    Upward force exerted on an object immersed in a fluid.

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    Archimedes' Law

    The upward buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

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    Floating

    An object floats when the buoyant force is greater than its weight.

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    Sinking

    An object sinks when its weight is greater than the buoyant force.

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    Buoyant Force Formula

    F = Ahρg, where F is the buoyant force, A is the area, h is the height, ρ is the fluid's density, and g is the acceleration due to gravity.

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    Object weight vs buoyant force

    If an object's weight is greater than the buoyant force, it sinks; if they are equal, it floats; if the buoyant force is greater, it floats.

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    Submerged percentage

    The fraction of an object that's submerged in a fluid, reflecting the relationship between the object's and fluid's densities.

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    Density and floating

    An object floats if its density is less than the density of the fluid it is in; it sinks if its density is greater.

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    Work (physics)

    The amount of energy transferred when an object is moved a certain distance by a force in the direction of the motion.

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    Kinetic Energy

    The energy an object has due to its motion.

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    Unit of Work

    Joule (J)

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    Kinetic Energy Equation

    Kinetic Energy = 1/2 × mass × velocity²

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    Work-Energy Theorem

    Work done on an object is equal to the change in its kinetic energy.

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    Force

    A push or pull that can change the motion of an object.

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    Density

    The mass of a substance per unit volume.

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    Specific gravity

    The ratio of the density of a substance to the density of a reference substance (usually water).

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    Study Notes

    Pressure in Liquids

    • Pressure in a liquid increases with depth.
    • The pressure at a depth of 0.50 m in water can be calculated using the formula: Pressure = density × gravity × depth.
    • The density of water is 1000 kg m-3.

    Density of Liquids

    • Density is a measure of mass per unit volume.
    • Different liquids have different densities.

    Archimedes' Principle

    • Archimedes' Principle states that an object submerged in a fluid experiences a buoyant force equal to the weight of the fluid it displaces.
    • This principle explains why objects float or sink.

    Pressure and Depth

    • The pressure exerted by a liquid increases as the depth increases.
    • This is because the weight of the liquid above a surface area contributes to the pressure.

    Work, Energy and Power

    • Work is done when a force causes an object to move a certain distance.
    • The formula used to calculate work done is: Work = Force × Distance.
    • Kinetic energy is the energy of motion.
    • Kinetic energy can be expressed as W = 1/2 mv^2, where m is the mass and v is the velocity.
    • Potential energy is the energy of position.

    Buoyant Force

    • The buoyant force is an upward force exerted by a fluid on an object submerged in it.
    • The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced.
    • An object will float if its weight is less than the weight of the water it displaces.
    • An object will sink if its weight is greater than the weight of the water it displaces.
    • An object will float if its weight is exactly equal to the weight of the water it displaces.
    • The buoyant force explains why an object submerged in water appears to weigh less.

    Submarines and Buoyancy

    • Submarines can navigate underwater by adjusting their weight to equal the weight of the water they displace.
    • When a submarine wants to dive, it takes in water to increase its weight and sink.
    • When a submarine wants to surface, it expels water to decrease its weight and rise.

    Density and Submergence

    • The percentage of an object submerged in a fluid is determined by the ratio of its density to the density of the fluid.
    • If the density of wood is 0.5 × 10^3 kg/m³ and the density of water is 1.0 × 10^3 kg/m³, then 50% of the wood will be submerged when floating.

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