Archimedes' Principle: Buoyancy Explained

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Questions and Answers

A wooden block is floating in water. Which of the following statements accurately describes the relationship between the buoyant force acting on the block and the weight of the water displaced by the block?

  • The buoyant force is equal to the weight of the water displaced. (correct)
  • The buoyant force is unrelated to the weight of the water displaced.
  • The buoyant force is greater than the weight of the water displaced.
  • The buoyant force is less than the weight of the water displaced.

An object with a volume of 0.05 m is submerged in a fluid with a density of 1200 kg/m. What is the buoyant force acting on the object?

  • 588 N (correct)
  • 6000 N
  • 49 N
  • 240 N

A metal cube is submerged in a container of water. If the cube displaces a volume of water equal to half of its own volume, how does the density of the metal compare to the density of water?

  • The density of the metal is half the density of water.
  • The density of the metal is equal to the density of water.
  • The density of the metal is more than twice the density of water. (correct)
  • The density of the metal is twice the density of water.

A submarine changes its depth by adjusting the amount of water in its ballast tanks. According to Archimedes' principle, how does increasing the amount of water in the ballast tanks affect the buoyant force on the submarine?

<p>The buoyant force decreases because the submarine's overall weight increases without changing the volume of water displaced. (A)</p> Signup and view all the answers

A hydrometer is used to measure the density of different liquids. It floats higher in more dense liquids and lower in less dense liquids. Which statement best explains why the hydrometer floats at different levels?

<p>The volume of liquid displaced by the hydrometer changes until the buoyant force equals the hydrometer's weight. (A)</p> Signup and view all the answers

A submarine adjusts its ballast tanks to achieve neutral buoyancy at a certain depth. If the submarine then moves into a region of the ocean with slightly higher water density, what adjustment would it likely make to maintain its depth?

<p>Decrease the amount of water in its ballast tanks. (B)</p> Signup and view all the answers

A hot air balloon is floating at a constant altitude. What would cause the balloon to begin to descend?

<p>A decrease in the temperature of the air inside the balloon. (A)</p> Signup and view all the answers

A wooden block is floating in a container of water. If salt is added to the water, increasing the water's density, how will the wooden block behave?

<p>The block will rise higher out of the water. (A)</p> Signup and view all the answers

An object is suspended in a fluid. What change in conditions would cause the object to sink?

<p>Decreasing the density of the fluid. (A)</p> Signup and view all the answers

A hydrometer is used to measure the density of different liquids. In which type of liquid will the hydrometer float the highest, assuming the same hydrometer is used each time?

<p>The liquid with the highest density. (A)</p> Signup and view all the answers

A cargo ship is traveling from a freshwater lake to the ocean. What will happen to the ship's draft (the depth to which it is submerged) as it enters the ocean, and why?

<p>The draft will decrease because the density of saltwater is greater. (C)</p> Signup and view all the answers

A small, dense object sinks in water. What can be said about the buoyant force acting on it?

<p>The buoyant force is less than the weight of the object. (B)</p> Signup and view all the answers

A plastic ball and a lead ball of the same volume are submerged in water. Which statement is true regarding the buoyant force on each?

<p>The buoyant force is the same on both balls. (A)</p> Signup and view all the answers

Considering the limitations of Archimedes' principle, in which scenario would the principle's prediction be least accurate?

<p>Calculating the buoyant force on a mini-submarine in deep ocean trenches. (B)</p> Signup and view all the answers

How did Archimedes apply his principle to determine if King Hiero's crown was pure gold?

<p>He compared the volume of water the crown displaced to the volume displaced by an equal weight of pure gold. (A)</p> Signup and view all the answers

Flashcards

Archimedes' Principle

Upward force on an object in fluid, equaling the weight of the displaced fluid.

Buoyant Force (F_B)

The upward force exerted by a fluid on an immersed object.

Density (ρ)

Mass per unit volume of a substance, often measured in kg/m³.

Volume (V)

The amount of space an object occupies, especially fluid displaced.

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Center of Buoyancy

The point where the buoyant force acts upwards on an object.

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Weight

Force on an object due to gravity.

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Floating

Buoyant force equals object's weight; object's density is less than the fluid's.

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Sinking

Buoyant force is less than object's weight; object's density is greater than the fluid's.

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Suspension

Buoyant force equals object's weight; object stays at a constant depth.

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Hydrometers

Instruments measuring a liquid's specific gravity (relative density).

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Ships and Boats

Displace water equal to their weight for buoyancy.

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Submarines

Control buoyancy by adjusting water in ballast tanks.

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Hot Air Balloons

Hot air is less dense than cooler air, causing the balloon to rise.

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Life Vests

Increase buoyancy using buoyant materials.

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Study Notes

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