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IB MYP Integrated Science- Physics- Pressure-Study Notes - New Syllabus

IB MYP Integrated Science- Physics – Pressure -Study Notes – New syllabus

IB MYP Integrated Science- Physics – Pressure -Study Notes -As per latest Syllabus.

Key Concepts:

Pressure

IB MYP Integrated Science -Concise Summary Notes- All Topics

Pressure (Solids & Liquids)

Pressure in Solids

Pressure is the force acting per unit area.

Formula

\( P = \dfrac{F}{A} \)

  • \( P \) = pressure (pascals, Pa)
  • \( F \) = force (N)
  • \( A \) = area (m²)

Key Concepts

  • Pressure increases when:
    • Force increases
    • Area decreases
  • Pressure decreases when:
    • Area increases
  • Small area → high pressure
  • Large area → low pressure

Example:

A force of 100 N acts on an area of 2 m². Find pressure.

▶️ Answer/Explanation

\( P = \dfrac{100}{2} = 50 \, \text{Pa} \)

Final Answer: \( \boxed{50 \, \text{Pa}} \)

Example:

Why do sharp knives cut better than blunt knives?

▶️ Answer/Explanation

Sharp knives have smaller contact area.

This increases pressure for the same force.

Final Answer: \( \boxed{\text{Smaller area → higher pressure}} \)

Pressure in Liquids

Definition

Pressure in a liquid is the force exerted by the liquid per unit area, increasing with depth.

Formula

\( P = \rho g h \)

  • \( \rho \) = density of liquid (kg/m³)
  • \( g \) = gravitational field strength (m/s²)
  • \( h \) = depth (m)

Key Concepts

  • Pressure increases with depth
  • Pressure increases with density
  • Pressure is independent of container shape
  • Liquid pressure acts in all directions

Example:

Calculate pressure at a depth of 5 m in water (ρ = 1000 kg/m³, g = 10 m/s²).

▶️ Answer/Explanation

\( P = 1000 \times 10 \times 5 = 50000 \, \text{Pa} \)

Final Answer: \( \boxed{50000 \, \text{Pa}} \)

Example:

Why do dams have thicker walls at the bottom?

▶️ Answer/Explanation

Pressure increases with depth.

Bottom experiences highest pressure.

Final Answer: \( \boxed{\text{Greater depth → higher pressure}} \)

Pressure  Calculations  

Pressure in Solids

\( P = \dfrac{F}{A} \)

  • \( P \) = pressure (Pa)
  • \( F \) = force (N)
  • \( A \) = area (m²)

Pressure in Liquids

\( P = \rho g h \)

  • \( \rho \) = density (kg/m³)
  • \( g \) = gravitational field strength (m/s²)
  • \( h \) = depth (m)

Total Pressure (with Atmosphere)

\( P_{\text{total}} = \rho g h + P_{\text{atm}} \)

  • \( P_{\text{atm}} \) = atmospheric pressure

Example:

A force of 200 N acts on an area of 4 m². Find pressure.

▶️ Answer/Explanation

\( P = \dfrac{200}{4} = 50 \, \text{Pa} \)

Final Answer: \( \boxed{50 \, \text{Pa}} \)

Example:

Find pressure at 2 m depth in water (ρ = 1000 kg/m³, g = 10 m/s²).

▶️ Answer/Explanation

\( P = 1000 \times 10 \times 2 = 20000 \, \text{Pa} \)

Final Answer: \( \boxed{20000 \, \text{Pa}} \)

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