Kinetic Energy (DP IB Physics)
Revision Note
Kinetic Energy
Kinetic energy (Ek) is the energy an object has due to its translational 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:
Where:
Ek = kinetic energy (J)
m = mass (kg)
v = velocity (m s–1)
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
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:
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 in a mechanics question, and in particle physics.
If you are not convinced these are in fact the same equation:
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