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Energy

Kinetic and Potential Energy

AQA GCSE Physics


Kinetic energy

kinetic energy = 0.5 × mass × speed2Ek = ½ m v2
  • Square the speed first, then multiply.
  • Rearranged for mass: m = 2 Ek ÷ v2. Rearranged for speed: v2 = 2 Ek ÷ m.

Elastic potential energy

elastic potential energy = 0.5 × spring constant × extension2Ee = ½ k e2
  • Extension = stretched length − original length.
  • The equation applies assuming the limit of proportionality has not been exceeded.
  • The spring with the greatest spring constant needs the largest force per metre to stretch it.

Gravitational potential energy

gravitational potential energy = mass × gravitational field strength × heightEp = m g h
  • Height is the vertical height moved.
  • When a falling object loses gravitational potential energy and gains kinetic energy: ½ m v2 = m g h.

Quantities and units

QuantitySymbolUnit
EnergyEJ
Massmkg
Speedvm/s
Spring constantkN/m
Extensionem
Gravitational field strengthgN/kg
Heighthm

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