8.1 Density and Pressure

• What is the formula for density?

  $\rho =$$\frac{m}{V}$
• Density is typically denoted by the Greek letter ρ
• What is the density of aluminum if its mass is 2.7 kg and its volume is 0.001 m³?

  2700 kg/m³
• Pressure is defined as force applied per unit volume.

  False
• What is the formula for pressure?

  $P =$$\frac{F}{A}$
• Match the variable with its unit:

  Pressure ↔️ Pa (N/m²)

  Force ↔️ N (Newtons)

  Area ↔️ m² (square meters)
• Pressure is the force applied per unit area
• What is the pressure if a force of 500 N is applied over an area of 2 m²?

  250 Pa
• 250 Pa means each square meter experiences a force of 250 Newtons.
• What are the units for density?

  kg/m³
• What are the units for pressure?

  Pa (N/m²)
• Match the property with its formula:

  Density ↔️ \rho = \frac{m}{V}</latex>

  Pressure ↔️ $P =$$\frac{F}{A}$
• What is the density of a block with a mass of 15 kg and a volume of 3 m³?

  5 kg/m³
• What is the pressure exerted if a force of 200 N is applied over an area of 4 m²?

  50 Pa
• What is the definition of pressure?

  Force applied per unit area
• The formula for pressure is P = F / A
• Match the variable with its symbol and unit:

  Pressure ↔️ P ||| Pa (N/m²)

  Force ↔️ F ||| N (Newtons)

  Area ↔️ A ||| m² (square meters)
• What is the unit for pressure in the SI system?

  Pascals (Pa)
• If a force of 500 N is applied over an area of 2 m², the pressure exerted is 250 Pa
• Each square meter in the example experiences a force of 250 Newtons.
• What is the definition of density?

  Mass per unit volume
• The formula for density is ρ = m / V
• What is the unit for density in the SI system?

  kg/m³
• Density is denoted by the Greek letter rho (ρ).
• What is the difference between density and pressure in fluids?

  Density is mass per volume, pressure is force per area
• If a block has a mass of 15 kg and a volume of 3 m³, its density is 5 kg/m³
• If a force of 200 N is applied over an area of 4 m², what is the pressure exerted?

  50 Pa
• An object floats if its density is less than the density of the fluid it is in.
• Hydraulic systems use pressure in fluids to transmit force
• What happens to atmospheric pressure as altitude increases?

  Decreases
• High-pressure areas are associated with clear weather, while low-pressure areas indicate stormy weather.