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.
Slides
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Practice questions
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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.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.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.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.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.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.After opening the parachute, the skydiver decelerates. What is the direction of the resultant force?
Medium- AUpwards
- BDownwards
- CHorizontal
- DZero
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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