# Cambridge AS Levels Mechanics 1 (Paper 4)

*Updated for 2020 exams onwards*

Unit M1: Mechanics 1 (Paper 4)
 Module 1 Forces and equilibrium - CIE M1 (157.51 mins) • identify the forces acting in a given situation; • understand the vector nature of force, and find and use components and resultants; • use the principle that, when a particle is in equilibrium, the vector sum of the forces acting is zero, or equivalently, that the sum of the components in any direction is zero; • understand that a contact force between two surfaces can be represented by two components, the normal component and the frictional component; • use the model of a ‘smooth’ contact, and understand the limitations of this model; • understand the concepts of limiting friction and limiting equilibrium; recall the definition of coefficient of friction, and use the relationship F = μR or F ≤ μR, as appropriate; • use Newton’s third law. Unit 1 Forces and equilibrium - Cambridge AS Levels Mechanics 1 (Paper 4) PDF Unit 2 Forces and equilibrium - Cambridge AS Levels Mechanics 1 (Paper 4) Video Module 2 Kinematics of motion in a straight line - CIE M1 (152.27 mins) understand the concepts of distance and speed as scalar quantities, and of displacement, velocity and acceleration as vector quantities (in one dimension only); sketch and interpret displacement-time graphs and velocity-time graphs, and in particular appreciate that the area under a velocity-time graph represents displacement, the gradient of a displacement-time graph represents velocity, the gradient of a velocity-time graph represents acceleration; use differentiation and integration with respect to time to solve simple problems concerning displacement, velocity and acceleration (restricted to calculus within the scope of unit P1); use appropriate formulae for motion with constant acceleration in a straight line. Unit 1 Kinematics of motion in a straight line - Cambridge AS Levels Mechanics 1 (Paper 4) PDF Unit 2 Kinematics of motion in a straight line - Cambridge AS Levels Mechanics 1 (Paper 4) Video Module 3 Momentum - CIE M1 (25.45 mins) *New 2020 Syllabus* use the definition of linear momentum and show understanding of its vector nature use conservation of linear momentum to solve problems that may be modelled as the direct impact of two bodies. Unit 1 Momentum - Cambridge AS Level Mechanics 1 (Paper 4) PDF Unit 2 Momentum - Cambridge AS Level Mechanics 1 (Paper 4) Video Module 4 Newton’s laws of motion - CIE M1 (104.41 mins) apply Newton’s laws of motion to the linear motion of a particle of constant mass moving under the action of constant forces, which may include friction; use the relationship between mass and weight; solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration; solve simple problems which may be modelled as the motion of two particles, connected by a light inextensible string which may pass over a fixed smooth peg or light pulley. Unit 1 Newton’s laws of motion - Cambridge AS Levels Mechanics 1 (Paper 4) PDF Unit 2 Newton’s laws of motion - Cambridge AS Levels Mechanics 1 (Paper 4) Video Module 5 Energy, work and power - CIE M1 (137.46 mins) understand the concept of the work done by a force, and calculate the work done by a constant force when its point of application undergoes a displacement not necessarily parallel to the force (use of the scalar product is not required); understand the concepts of gravitational potential energy and kinetic energy, and use appropriate formulae; understand and use the relationship between the change in energy of a system and the work done by the external forces, and use in appropriate cases the principle of conservation of energy; use the definition of power as the rate at which a force does work, and use the relationship between power, force and velocity for a force acting in the direction of motion; solve problems involving, for example, the instantaneous acceleration of a car moving on a hill with resistance. Unit 1 Energy, work and power - Cambridge AS Levels Mechanics 1 (Paper 4) PDF Unit 2 Energy, work and power - Cambridge AS Levels Mechanics 1 (Paper 4) Video

Check out Douglas Quadling Mechanics 1 worked solutions HERE