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Flashcards · 9702 · AS Topic 3
Dynamics (AS Level) flashcards
17 cards on AS Topic 3, subtopics 3.1 to 3.3. Pick a subtopic or study them all.
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3.1 Momentum and Newton's laws of motion
- Newton’s first law
- An object stays at rest or moves with constant velocity unless acted on by a resultant force.
- Newton’s second law, stated properly
- The resultant force is proportional to the rate of change of momentum, and acts in its direction: F = Δp ÷ Δt. F = ma follows only when the mass is constant.
- Newton’s third law, and the conditions for a force pair
- If body A exerts a force on body B, B exerts an equal and opposite force on A. The pair act on two different bodies and are the same type of force.
- Linear momentum: definition and unit
- p = mv, mass × velocity. A vector. Unit: kg m s⁻¹ (equivalent to N s).
- Impulse
- Impulse = FΔt = change in momentum. Unit N s. It is the area under a force–time graph.
- How does a crumple zone or airbag reduce the force in a crash?
- It increases the time over which the same momentum change happens. Since F = Δp ÷ Δt, the average force is smaller. (Not "absorbing the force".)
3.2 Non-uniform motion
- How do frictional and viscous (drag) forces such as air resistance behave?
- They oppose the relative motion, and drag increases as the speed increases.
- Describe the motion of an object falling from rest through air
- It starts with acceleration g. As speed rises, drag rises, so the resultant force and the acceleration fall. Eventually drag equals weight and it falls at constant terminal velocity.
- What is the resultant force on an object at terminal velocity?
- Zero: the drag equals the weight, so the acceleration is zero and the velocity is constant.
- With no air resistance, how does the acceleration of a falling object depend on its mass?
- It does not: every object falls with the same uniform acceleration g.
- A parachute opens during a fall at terminal velocity. What happens?
- Drag suddenly exceeds weight, so there is an upward resultant force and the skydiver decelerates. Drag falls as speed falls until it equals weight again at a new, lower terminal velocity.
3.3 Linear momentum and its conservation
- Principle of conservation of momentum
- In a closed system (no external resultant force), the total momentum before an interaction equals the total momentum after it.
- Elastic collision: is momentum conserved? Is kinetic energy conserved?
- Momentum: conserved. Kinetic energy: conserved.
- Inelastic collision: is momentum conserved? Is kinetic energy conserved?
- Momentum: conserved. Kinetic energy: not conserved (some becomes thermal energy, sound and deformation).
- In a perfectly elastic collision, how do the relative speeds compare?
- The relative speed of approach equals the relative speed of separation.
- A 2.0 kg trolley at 3.0 m s⁻¹ hits a stationary 1.0 kg trolley and they stick. Find the common speed and the KE lost.
- 2.0 × 3.0 = 3.0v, so v = 2.0 m s⁻¹. KE before = 9.0 J, KE after = 6.0 J, so 3.0 J is transferred to heat and sound.
- An object at rest explodes into two pieces. What can you say about their momenta?
- Total momentum stays zero, so the pieces have equal and opposite momenta. Kinetic energy increases, supplied from chemical or elastic potential energy.