8.3 Buoyant Force and Archimedes' Principle

• What is the buoyant force defined as?

  Upward force on object
• The buoyant force on an object is equal to the weight of the fluid displaced
• The buoyant force acts in a downward direction.

  False
• What is the cause of the buoyant force on an object?

  Pressure difference in fluid
• The formula for the buoyant force is $F_{b} =$$\rho_{f} V_{o} g$, where $\rho_{f}$ is the density of the fluid
• Match the properties of buoyant force and weight:

  Direction of buoyant force ↔️ Upward

  Direction of weight ↔️ Downward

  Cause of buoyant force ↔️ Pressure difference

  Cause of weight ↔️ Gravitational attraction
• Archimedes' Principle states that the buoyant force equals the weight of the fluid displaced by the object.
• According to Archimedes' Principle, on what two properties does the buoyant force depend?

  Fluid density, object volume
• In the formula F_{b} = \rho_{f} V_{o} g</latex>, $g$ represents the acceleration due to gravity
• What is the key difference between buoyant force and weight?

  Upward vs. downward force
• Compare the properties of buoyant force and weight:

  1️⃣ Buoyant force is upward

  2️⃣ Buoyant force is caused by pressure difference

  3️⃣ Buoyant force depends on fluid density and object volume

  4️⃣ Weight is downward

  5️⃣ Weight is caused by gravitational attraction

  6️⃣ Weight depends on object mass and gravitational acceleration
• The buoyant force on an object is equal to the weight of the object itself.

  False
• In Archimedes' Principle, $\rho_{f}$ represents the density of the fluid
• What causes buoyant force?

  Pressure difference in fluid
• Archimedes' Principle states that the buoyant force equals the weight of the fluid displaced.
• In the buoyant force formula, $\rho_{f}$ represents the density of the fluid
• Match the properties with the correct forces:

  Direction | Upward ↔️ Buoyant Force

  Direction | Downward ↔️ Weight
• Weight is caused by gravitational attraction on an object's mass.
• The formula for weight is $F_{w} =$$m g$, where $g$ represents gravitational acceleration
• Steps to calculate buoyant force using Archimedes' Principle:

  1️⃣ Determine the volume of the submerged object

  2️⃣ Find the density of the fluid

  3️⃣ Apply the formula to calculate $F_{b}$
• What is the buoyant force on an object with a volume of $0.2 \ m^{3}$ submerged in water with a density of $1000 \ kg / m^{3}$?


  $1960 \ N$
• The buoyant force is equal to the weight of the fluid displaced.
• In the buoyant force formula, \rho_{f}</latex> represents the density of the fluid
• What is the weight of an object with a volume of $0.5 \ m^{3}$ and density of $600 \ kg / m^{3}$?


  $2940 \ N$
• If the buoyant force is greater than the weight of the object, the object will float.
• What is the buoyant force on an object with a volume of 0.5 \ m^{3}</latex> submerged in water with a density of $1000 \ kg / m^{3}$?


  $4900 \ N$