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Mechanics
Preserve quantities and units, kinematics, forces and Newton's laws, and moments.
0
Objectives
10
Flashcards
10
Questions
90 min
Study time
AqaA LevelMathematicsPaper 2
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Syllabus checklist
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Quantities and units in mechanics1 objectives
- P1 Understand and use fundamental quantities and units in the SI system, including length, time and mass; understand and use derived quantities and units including velocity, acceleration, force, weight and moment.
Kinematics language1 objectives
- Q1 Understand and use the language of kinematics, including position, displacement, distance travelled, velocity, speed and acceleration.
Kinematics graphs1 objectives
- Q2 Understand, use and interpret graphs in kinematics for motion in a straight line, including displacement against time with gradient interpretation and velocity against time with gradient and area interpretation.
Constant acceleration1 objectives
- Q3 Understand, use and derive the formulae for constant acceleration for motion in a straight line and extend to two dimensions using vectors.
Calculus in kinematics1 objectives
- Q4 Use calculus in kinematics for motion in a straight line, including v = dr/dt, a = dv/dt = d^2r/dt^2, r = integral of v dt and v = integral of a dt, and extend to two dimensions using vectors.
Projectiles1 objectives
- Q5 Model motion under gravity in a vertical plane using vectors, including projectiles.
Force and Newton's first law1 objectives
- R1 Understand the concept of a force and understand and use Newton's first law.
Newton's second law1 objectives
- R2 Understand and use Newton's second law for motion in a straight line, restricted to forces in two perpendicular directions or simple cases of forces given as two-dimensional vectors, and extend to situations where forces need to be resolved in two dimensions.
Weight and gravity1 objectives
- R3 Understand and use weight and motion in a straight line under gravity; use gravitational acceleration g and its value in SI units to varying degrees of accuracy; understand that g is not a universal constant and depends on location.
Newton's third law and equilibrium1 objectives
- R4 Understand and use Newton's third law; use equilibrium of forces on a particle and motion in a straight line, restricted to forces in two perpendicular directions or simple two-dimensional vector cases; apply to smooth pulleys and connected particles; resolve forces in two dimensions; use equilibrium of a particle under coplanar forces.
Resultant forces and dynamics1 objectives
- R5 Understand and use addition of forces, resultant forces and dynamics for motion in a plane.
Friction1 objectives
- R6 Understand and use the F <= mu R model for friction, coefficient of friction, motion of a body on a rough surface, limiting friction and statics.
Moments1 objectives
- S1 Understand and use moments in simple static contexts.
Key terms
lengthpositiongradientconstant accelerationcalculusprojectilesforceNewton's second lawweightNewton's third lawresultant forcesfriction
Exam tips
- Quantities and units in mechanics exam tip 1: Write the method before the answer so the examiner can follow each step. Apply this to p1 Understand and use fundamental quantities and units in the SI system, including length, time and mass; understand and use derived quantities and units including velocity, acceleration, force, weight and moment..
- Kinematics language exam tip 1: Write the method before the answer so the examiner can follow each step. Apply this to q1 Understand and use the language of kinematics, including position, displacement, distance travelled, velocity, speed and acceleration..
Common mistakes
- Quantities and units in mechanics common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Quantities and units in mechanics.
- Kinematics language common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Kinematics language.
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