8.3 Buoyant Force and Archimedes' Principle

• What is buoyant force caused by?

  Pressure difference
• What direction does buoyant force act in?

  Upward
• What is fluid density denoted by?

  $ρ$
• Higher density means more mass per unit volume in a fluid.


  True
• In the formula F_{b} = ρ_{f} V_{o} g</latex>, $ρ_{f}$ represents the density of the fluid
• What is the unit of buoyant force in the metric system?

  Newtons
• The volume of an object is measured in cubic meters (m³).

  True
• Archimedes' Principle states that the buoyant force equals the weight of the fluid displaced
• Match the concept with its formula:

  Archimedes' Principle ↔️ Buoyant Force = Weight of Fluid Displaced

  Weight of Fluid Displaced ↔️ $F_{b} =$$ρ_{f} V_{o} g$
• The buoyant force is directly proportional to the weight of the fluid displaced.


  True
• What is the formula for calculating fluid density?

  $ρ =$$\frac{m}{V}$
• What does the variable $V$ represent in fluid mechanics?


  Volume
• Different fluids have different densities
• What is the density of air in kg/m³ at room temperature?

  1.225
• What is the density of glycerin in kg/m³ at room temperature?

  1260
• What is the formula for buoyant force according to Archimedes' Principle?

  F_{b} = ρ_{f} V_{o} g</latex>
• A 2 kg block of wood with a volume of 0.002 m³ immersed in water experiences a buoyant force of 19.6 N.


  True
• Match the concept with its definition or formula:

  Buoyant Force ↔️ Upward force on an immersed object

  Density of Fluid ↔️ Mass per unit volume

  Volume of Object ↔️ Volume immersed in fluid

  Acceleration due to Gravity ↔️ 9.8 m/s²
• The buoyant force formula is F_{b}
• What is the buoyant force on a wooden block with a volume of 0.01 m³ submerged in water?

  98 N
• Archimedes' principle states that the buoyant force equals the weight of the displaced fluid.


  True
• According to Archimedes' principle, the buoyant force on an object is equal to the weight of the fluid displaced
• Fluid density is calculated using the formula ρ = \frac{m}{V}</latex>, where $m$ is mass and $V$ is volume
• What formula is used to calculate the weight of the fluid displaced according to Archimedes' principle?

  $F_{b} =$$ρ_{f} V_{o} g$
• The acceleration due to gravity, $g$, is approximately 9.8 m/s².


  True
• The density of a fluid is measured in kg/m³
• What is the approximate value of acceleration due to gravity on Earth?

  9.8 m/s²
• What is the formula for calculating the buoyant force using Archimedes' Principle?

  $F_{b} =$$ρ_{f} V_{o} g$
• What causes buoyant force in a fluid?

  Pressure difference
• Fluid density is the measure of mass per unit volume
• Match the fluid with its approximate density at room temperature:

  Water ↔️ 1000 kg/m³

  Air ↔️ 1.225 kg/m³

  Oil ↔️ 920 kg/m³

  Glycerin ↔️ 1260 kg/m³
• Higher density means more mass per unit volume.

  True
• What is the density of water in kg/m³ at room temperature?

  1000
• What is the density of oil in kg/m³ at room temperature?

  920
• To calculate buoyant force using Archimedes' Principle, the formula is F_{b}
• What is the value of acceleration due to gravity on Earth in m/s²?

  9.8
• Buoyant force is the upward force on an immersed object
• What is the buoyant force on a block with a volume of 0.005 m³ submerged in water?

  49 N
• Archimedes' Principle states that the buoyant force on an object equals the weight of the fluid displaced.

  True