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Lesson 1.3 · AQA Combined Science

Kinetic energy

Energy of movement

Every moving object has a kinetic store. Greater mass or speed means more kinetic energy.

Use the equation

Ek = ½mv²
SymbolQuantityUnit
EₖKinetic energyJ
mMasskg
vSpeedm/s

Square the speed first. v² means v × v, not v × 2.

Worked example

A 2 kg trolley moves at 3 m/s.

Ek = ½ × 2 × 3² = 9 J

Write the equation, substitute values, calculate and give the unit. Convert grams to kilograms before using the equation.

Challenge · changing mass and speed

At the same speed, doubling mass doubles kinetic energy. At the same mass, doubling speed makes kinetic energy four times larger.

To find mass: m = 2Eₖ / v². To find speed: v = √(2Eₖ / m).

Remember

Eₖ = ½mv². Use kg and m/s; square the speed before multiplying.