Kinetic Energy (DP IB Physics: SL): Revision Note

Ashika

Written by: Ashika

Reviewed by: Caroline Carroll

Updated on

Kinetic Energy

  • Kinetic energy (Ek) is the energy an object has due to its motion (i.e. because it's moving)

    • The faster an object is moving, the greater its kinetic energy

  • When an object is falling, it is gaining kinetic energy since it is accelerating under gravity

  • This energy is transferred from the gravitational potential energy it is losing

  • An object will maintain this kinetic energy unless its speed or mass changes

  • Kinetic energy can be calculated using the following equation:

Ek  = 12mv2

  • Where:

    • Ek = kinetic energy (J)

    • m = mass (kg)

    • = velocity (m s–1)

Kinetic energy diagram, downloadable AS & A Level Physics revision notes

Kinetic energy: The energy an object has when it is moving

  • Another quantity that also depends on mass m and velocity v is momentum

  • Therefore, kinetic energy can be written in terms of momentum p, using the equation

Ek = p2 2m

  • Where:

    • p = momentum (kg m s–1)

 

  • This form is very useful in particle physics, when comparing the momentum and kinetic energy of a particle

Worked Example

A body travelling with a speed of 12 m s–1 has kinetic energy 1650 J. The speed of the body is increased to 45 m s–1.

Estimate the body's new kinetic energy.

Answer:

WE - kinetic energy answer image, downloadable AS & A Level Physics revision notes

Examiner Tips and Tricks

When using the kinetic energy equation, note that only the speed is squared, not the mass or the ½. If a question asks about the ‘loss of kinetic energy’, remember not to include a negative sign since energy is a scalar quantity.

Both variations of the kinetic energy equation are given in your data booklet. You will most likely use 12mv2 in a mechanics question, and p22m in particle physics.

If you are not convinced these are in fact the same equation:

Ek = p22m = (mv)2 2m = m2v2 2m =mv2 2 = 12mv2

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Ashika

Author: Ashika

Expertise: Physics Content Creator

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.