*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.
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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.
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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.
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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.
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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**