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Terminal velocity

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Lesson notes

Key Concepts

  • **Newton's first law**: An object's speed stays constant unless a **resultant force** acts on it.
  • **Newton's second law**: Acceleration is proportional to the resultant force; larger force → larger acceleration.
  • **Newton's third law**: Forces between two objects are equal in size and opposite in direction.
  • **Terminal velocity** is the maximum constant speed reached when forces are balanced.

Stages of a Skydive

  • 1. **Just jumped**: Only **weight** acts → skydiver **accelerates** downwards.
  • 2. **Speeding up**: **Air resistance** increases with speed; resultant force decreases → acceleration decreases.
  • 3. **Terminal velocity**: Air resistance = weight → **balanced forces**, no resultant force → constant speed (terminal velocity).
  • 4. **Parachute opens**: Larger surface area → air resistance increases greatly → resultant force **upwards** → **deceleration**.
  • 5. **Second terminal velocity**: Slower speed reduces air resistance until it equals weight again → new, slower constant speed.

Graph of a Skydive

  • A **speed–time graph** shows speed increasing then levelling off at terminal velocity.
  • After parachute opens, speed drops rapidly then becomes constant at a lower terminal velocity.
  • The gradient of the graph represents acceleration (positive gradient = accelerating, negative = decelerating, flat = constant speed).

Factors Affecting Terminal Velocity

  • **Weight**: Heavier objects have a higher terminal velocity (larger weight requires larger air resistance to balance).
  • **Surface area**: Larger surface area increases air resistance, reducing terminal velocity (e.g., parachute).
  • **Shape**: Streamlined shapes reduce air resistance, allowing higher terminal velocity.

Examples and Applications

  • A car travelling at constant speed on a motorway has **balanced forces** (driving force = resistive forces).
  • If a resultant forward force acts on a car, it **accelerates** (speeds up).
  • Sky divers reach terminal velocity twice: first without parachute (fast), then with parachute (slow).

Particle arrangement in solids, liquids, and gases. In a solid, particles are closely packed in a regular pattern; in a liquid, they are close but irregular; in a gas, they are far apart and random. This model helps explain density and state changes.

Particle arrangementSolidLiquidGas

Slides

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Practice questions

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  1. 1.What happens to air resistance as the speed of an object increases?

    Easy
    • AIt increases
    • BIt decreases
    • CIt stays the same
    • DIt becomes zero
  2. 2.A car is travelling at a constant speed. All the forces on the car are balanced. What happens to the speed of the car?

    Easy
    • AIt stays the same
    • BIt increases
    • CIt decreases
    • DIt becomes zero
  3. 3.A car has a resultant force forwards. What happens to the speed of the car?

    Easy
    • AIt increases
    • BIt decreases
    • CIt stays the same
    • DIt becomes zero
  4. 4.A skydiver has just jumped out of an aeroplane. The only force acting is their weight. What is the motion of the skydiver?

    Medium
    • AAccelerating downwards
    • BConstant speed downwards
    • CDecelerating downwards
    • DStationary
  5. 5.A skydiver has reached terminal velocity. Which statement about the forces is correct?

    Medium
    • AWeight equals air resistance
    • BWeight is greater than air resistance
    • CWeight is less than air resistance
    • DThere is no weight
  6. 6.A skydiver opens their parachute. What happens to the air resistance immediately after opening?

    Hard
    • AIt increases dramatically
    • BIt decreases dramatically
    • CIt stays the same
    • DIt becomes zero
  7. 7.After opening the parachute, the skydiver decelerates. What is the direction of the resultant force?

    Medium
    • AUpwards
    • BDownwards
    • CHorizontal
    • DZero
  8. 8.A skydiver reaches a second terminal velocity after opening the parachute. How does this second terminal velocity compare to the first?

    Medium
    • AIt is slower
    • BIt is faster
    • CIt is the same
    • DIt is zero

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