A.1 Kinematics
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2 Exam Preparation & Topic Explanations
Mastering Projectile Motion
Projectile motion is the motion of an object thrown or projected into the air, subject only to the acceleration of gravity.
Key concepts:
Independence of Motion: The horizontal and vertical components of motion are independent.
Horizontal Motion: No acceleration occurs (ax=0), so the horizontal velocity (vx) remains constant throughout the flight.
Vertical Motion: Subject to a constant downward acceleration due to gravity (ay=−9.81m/s2).
Time of Flight: Since horizontal and vertical motion are linked by time, finding the time (t) in one dimension allows you to solve for displacement in the other.
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Always split the initial velocity u into components: ux=ucosθ and uy=usinθ.
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At the maximum height, the vertical velocity vy is always zero.
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Remember that the range R is maximum when the launch angle is 45∘ (assuming level ground).
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Don't forget to maintain consistent sign conventions for up/down directions.
3 MCQ Practice
Q1. A car accelerates uniformly from rest. Which equation is best to use to find the distance traveled in time t?
- v=u+at
- s=ut+21at2
- v2=u2+2as
- p=mv
4 Short Answer Questions
A.2 Forces and momentum
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2 Exam Preparation & Topic Explanations
Mastering Free-Body Diagrams & Forces
Free-body diagrams represent all forces acting on a body as vectors to find the resultant force.
Key concepts:
Equilibrium: A body will remain at rest or moving with constant velocity unless acted upon by an unbalanced force.
Inclined Planes: The weight is resolved into components: mgsinθ parallel to the slope and mgcosθ perpendicular to the slope.
Newton's Third Law: When body A exerts a force on body B, body B will exert an equal and opposite force of the same type on body A.
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Always draw a free-body diagram treating the object as a point mass.
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Ensure you use consistent sign conventions when adding forces.
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Remember that the normal reaction force is not always equal to the weight, especially on inclined planes.
Analyzing Collisions and Impulse
Momentum (p=mv) is the product of mass and velocity, making it a vector quantity.
Key concepts:
Impulse: A resultant external force applied to a system constitutes an impulse, which is equal to the change in momentum.
Elastic Collisions: Both total momentum and total kinetic energy are conserved.
Inelastic Collisions: Total momentum is conserved, but kinetic energy is lost to forms like heat or sound. In a totally inelastic collision, the bodies stick together.
Explosions: Momentum is conserved, and kinetic energy is gained from the release of chemical or potential energy.
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Define a positive direction and stick to it, remembering that velocity and momentum are vectors.
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The applied impulse equals the change in momentum of the system (J=Δp).
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When an object bounces, the change in momentum and the impulse are greater than if it simply comes to a stop without bouncing.
Mastering Circular Motion
Circular motion occurs when a resultant force continuously acts perpendicular to the velocity of an object, directing it towards the center of the circular path.
Key concepts:
Centripetal Force: This is not a new force, but the resultant force required to keep an object in circular motion. It can be provided by tension, friction, gravity, or normal reaction.
Angular Velocity (ω): Measured in radians per second, it represents the angle swept out per unit time.
Vertical Circular Motion: The required centripetal force equation changes depending on the position. At the top of a loop, gravity and normal force act downwards. At the bottom, normal force acts upwards while gravity acts downwards.
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Always identify the physical forces providing the centripetal force, such as friction for a car on a track.
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Remember to measure angles in radians when using angular velocity equations.
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Centripetal force does zero work because it is always perpendicular to the direction of instantaneous displacement.
3 MCQ Practice
Q1. According to Newton's second law, which of the following is correct for a situation where the mass of the system is changing?
- F=ma
- F=ΔtΔp
- F=pΔt
- F=21mv2
Q2. In a totally inelastic collision between two bodies, which of the following is true?
- Both momentum and kinetic energy are conserved.
- Momentum is conserved, but kinetic energy is not conserved, and the bodies stick together.
- Kinetic energy is conserved, but momentum is not.
- Neither momentum nor kinetic energy are conserved.
Q3. A body moves in a horizontal circle at a constant speed. Which of the following statements about its acceleration is correct?
- The acceleration is zero because the speed is constant.
- The acceleration is directed tangentially to the circular path.
- The acceleration is directed radially towards the center of the circle.
- The acceleration is directed radially outwards from the center.
4 Short Answer Questions
A.3 Work, energy and power
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4 Short Answer Questions
A.4 Rigid body mechanics
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4 Short Answer Questions
A.5 Galilean and special relativity
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4 Short Answer Questions
B.1 Thermal energy transfers
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4 Short Answer Questions
B.2 Greenhouse effect
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4 Short Answer Questions
B.3 Gas laws
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4 Short Answer Questions
B.4 Thermodynamics
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4 Short Answer Questions
B.5 Current and circuits
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4 Short Answer Questions
C.1 Simple harmonic motion
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4 Short Answer Questions
C.2 Wave model
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4 Short Answer Questions
C.3 Wave phenomena
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4 Short Answer Questions
C.4 Standing waves and resonance
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4 Short Answer Questions
C.5 Doppler effect
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4 Short Answer Questions
D.1 Gravitational fields
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4 Short Answer Questions
D.2 Electric and magnetic fields
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4 Short Answer Questions
D.3 Motion in electromagnetic fields
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4 Short Answer Questions
D.4 Induction
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4 Short Answer Questions
E.1 Structure of the atom
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4 Short Answer Questions
E.2 Quantum physics
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4 Short Answer Questions
E.3 Radioactive decay
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4 Short Answer Questions
E.4 Fission
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2 Exam Preparation & Topic Explanations
Mastering Nuclear Fission and Reactors
Nuclear fission is the process where a heavy, unstable nucleus (such as Uranium-235) splits into two lighter fragments after absorbing a neutron. This split releases a large amount of energy (roughly 200 MeV per U-235 fission) and several fast neutrons, which can go on to trigger a self-sustaining chain reaction.
Key components of a pressurized water nuclear reactor:
Fuel Rods: Contain the fissionable material.
Moderator: Slows down the high-energy neutrons produced in fission so they can successfully induce further fissions. Water often acts as both the moderator and the coolant for heat exchange.
Control Rods: Regulate the reaction rate by acting as good absorbers of neutrons.
Heat Exchanger: Transfers thermal energy to a separate system, helping generate electricity through turbines.
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When balancing nuclear fission equations, ensure both the sum of nucleon numbers (A) and the sum of proton numbers (Z) remain conserved.
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Distinguish clearly between the roles of the moderator (slowing neutrons) and control rods (absorbing neutrons).
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Be prepared to discuss the environmental impacts of fission power, particularly the management and long-term storage of radioactive nuclear waste.
3 MCQ Practice
Q1. Which of the following statements about a nuclear fission reactor are correct? I. The heat exchanger transfers energy from the fuel rods to the moderator. II. The control rods must be good absorbers of neutrons. III. The moderator must slow neutrons down.
- I and II only
- I and III only
- II and III only
- I, II and III
4 Short Answer Questions
E.5 Fusion and stars
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2 Exam Preparation & Topic Explanations
Stellar Characteristics and Evolution
Stars maintain stability through an equilibrium between inward gravitational forces and outward radiation pressure from nuclear fusion. The Hertzsprung–Russell (HR) diagram is a key tool that plots a star's luminosity against its surface temperature, classifying stars into regions such as the main sequence, red giants, super giants, and white dwarfs. A star's mass determines its evolutionary path; for example, a low to medium mass star will eventually become a red giant, shed a planetary nebula, and leave behind a white dwarf. Distances to nearby stars can be determined using stellar parallax.
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Remember that on the HR diagram, the temperature axis (horizontal) is plotted backwards; it decreases from left to right.
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Use the stellar parallax formula d=p1 to find distances, ensuring distance d is in parsecs and the parallax angle p is in arc-seconds.
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A star's radius can be determined from its luminosity and surface temperature using the Stefan-Boltzmann law.
3 MCQ Practice
Q1. What is the sequence for the evolution of a main sequence star of about 2 solar masses?
- Red super giant → supernova → neutron star
- Red giant → planetary nebula → white dwarf
- Red giant → supernova → white dwarf
- Red super giant → planetary nebula → neutron star