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Pressure

Comprehensive notes, formulas, and practice questions for Pressure.

Pressure

Pressure

What you'll learn

  • Pressure = force per unit area: P = F/A.
  • Why sharp knives, drawing pins, and stiletto heels behave differently from blunt objects.
  • How broad camel feet, wide bag straps, and tractor tyres reduce pressure.
  • SI unit pascal (Pa) = N/m².

Key concepts

  1. Formula — Pressure P = F/A; same force on smaller area → higher pressure.
  2. Units — pascal (Pa), also N/cm² in daily use; 1 Pa = 1 N/m².
  3. Solids — pressure at contact surface (standing on one foot vs two feet).
  4. Liquids — pressure increases with depth: P = hρg (intro level).
  5. Diagram (text) — compare knife edge (small A) vs hammer face (large A) for same force.
  6. Real world — snow shoes, heavy trucks with many wheels, injection needles.

Worked example

Finding pressure when a 600 N student stands on one foot (area 0.015 m²)

Given: F = 600 N, A = 0.015 m²
Step 1 — Write P = F/A
Step 2 — P = 600 / 0.015 = 40000 Pa
Step 3 — On two feet (total area 0.03 m²): P = 600/0.03 = 20000 Pa (half)
Step 4 — Smaller area → higher pressure on single foot.

Common mistakes

  • Using force instead of pressure in explanations (need area too).
  • Misconception: heavier person always creates higher pressure (depends on contact area).
  • Confusing pressure with force units (Pa vs N).
  • Doubling area while doubling force — pressure unchanged (P = 2F/2A = F/A).

Quick check

  • State the formula for pressure with units.
  • Why do tractors have broad tyres?
  • Force 80 N on 0.02 m². Find pressure in Pa.

Open the Practice tab for graded questions on Pressure.

Key Takeaways (TL;DR)

  • What you'll learn
  • Key concepts
  • Worked example
  • Common mistakes

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