archimedes principle

• What does the gravity component represent in Archimedes' principle?

  Acceleration due to gravity, approx. 9.8 m/s²
• If a stone has a volume of $0.01 \text{ m}^3$ and is submerged in water with a density of $1000 \text{ kg/m}^3$, what is the buoyant force?


  $98 \text{ N}$
• What is Archimedes' principle equation for buoyant force?

  Buoyant Force = Density × Volume × Gravity
• What are the components of Archimedes' principle equation and their meanings?

  • Buoyant Force: upward force on submerged objects
  • Density: mass per unit volume of fluid
  • Volume: volume of the submerged object
  • Gravity: acceleration due to gravity (approx. 9.8 m/s²)
• What happens to an object when the buoyant force is greater than the weight of the object?

  The object floats
• What does the buoyant force indicate in the context of the stone submerged in water?

  The water pushes upwards on the stone with a force of 98 Newtons
• What does the volume component represent in Archimedes' principle?

  Volume of the submerged object
• What happens to an object when the buoyant force is less than the weight of the object?

  The object sinks
• What are the real-world applications of Archimedes' principle?

  • Boat Design: Ships float due to lower density.
  • Hot Air Balloons: Heated air rises as it is less dense.
  • Plimsoll Line: Indicates safe loading levels based on density.
• What is the density of water in kg/m³?

  1000 kg/m³
• What force acts upwards on an object in a fluid?

  Buoyant force
• How does understanding buoyant force and density help in design?

  It aids in creating objects interacting with water or air
• What are the conditions for an object to float or sink in water?

  • To float:
  • Weight < buoyant force
  • Density < 1000 kg/m³
  • Remains at surface
  • To sink:
  • Weight > buoyant force
  • Density > 1000 kg/m³
  • Descends to bottom
• What factors determine whether an object will float or sink?

  • Buoyant Force: Upward force exerted by a fluid on an object.
  • Weight of the Object: Downward force due to gravity.
  • If Buoyant Force > Weight: Object floats.
  • If Buoyant Force < Weight: Object sinks.
• What principle is applied in boat design?

  Archimedes' principle
• What two forces compete when an object is in water?

  Weight and buoyant force
• What happens to an object with a density greater than 1000 kg/m³ in water?

  It sinks to the bottom
• What does the Plimsoll line indicate on ships?

  Safe loading levels based on water density
• What determines whether an object floats or sinks in water?

  Its density compared to water
• What happens to an object with a density less than 1000 kg/m³ in water?

  It floats on the surface
• How does the buoyant force affect an object's ability to float?

  It pushes up against the object's weight
• In which direction does the force of weight act on an object?

  Downward
• How does heated air in hot air balloons cause them to rise?

  Heated air is less dense than cooler air
• What does the density component represent in Archimedes' principle?

  Mass per unit volume of the fluid
• Why do ships float according to Archimedes' principle?

  Because their overall density is less than water