Types of Force (Edexcel International AS Maths) : Revision Note

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Types of Force

What is a force?

  • A force is a vector quantity, it has both magnitude and direction

  • A force is a push or a pull on an object

  • A force is measured in Newtons

  • In A level mathematical models, forces act at a single point called a particle which occupies a single point in space

What types of force are used in mechanics?

  • Weight is the effect of mass and gravity, it always acts downwards

  • Tension is a pulling force, it always acts away from an object

  • Thrust is a pushing force, it always acts towards an object

  • Friction is a resistive force, it acts to oppose the motion of an object

  • Every surface will produce a reaction force, it will always act perpendicular to the surface

Mass, Gravity and Weight

  • Mass is a measure of the amount of matter in an object

    • Mass is a scalar quantity, measured in kilograms, kg

    • Mass is universal, it does not change based on location

  • Gravity is the force by which a body (usually a planet or a star) pulls objects towards its centre

    • g is the acceleration due to gravity, measured in m s -2

    • On Earth, g is approximately 9.8 m s -2 , although its exact value varies with location

    • g is different elsewhere in the universe

  • Weight is the product of mass and gravity, it is a force measured in Newtons

    • Weight is a vector quantity

    • Weight varies with location

    • Weight always acts vertically downwards towards the ground

1.1.4 Types of Force Diagram 1_1, downloadable Edexcel A Level Mechanics revision notes
1.1.4 Types of Force Diagram 1_2, downloadable Edexcel A Level Mechanics revision notes

Worked Example

The diagram below shows a car towing a trailer by a light inextensible string.

Forces D,R ,F and T N act on the car and caravan as shown.

Write a brief description of which each force represents.

Diagram of a car towing a trailer with arrows indicating forces: D for drag, R for reaction, T for tension, and F for forward force.
1.1.4 Types of Forces Question Image, downloadable Edexcel A Level Mechanics revision notes
1.1.4 Types of Forces Question Solution, downloadable Edexcel A Level Mechanics revision notes

Examiner Tips and Tricks

  • There are many phrases/words that can be used implying the types of force

    • Braking – suggests thrust

    • Air resistance – suggests a resistive force

  • Always sketch a diagram and mark the forces on the diagram clearly

    • It will help you understand the problem

    • Add more things to the diagram as you progress through the question

    • You may not even need all the forces from your diagram

  • You should always round your answers to three significant figures, however if using g = 9.8 m s-2 within a calculation, use two significant figures.

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Amber

Author: Amber

Expertise: Maths Content Creator

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.