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Energy stores, KE and GPE

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Energy cannot be created or destroyed. It is only moved between stores. Two equations let you put numbers on it.

Energy stores

Stores include kinetic, gravitational potential, elastic, thermal, chemical, magnetic, electrostatic and nuclear.
Energy is transferred between stores by forces, electric currents, heating and waves.
The total energy is always conserved.

Kinetic energy

KE = ½ × m × v2
m in kg, v in m/s, KE in joules (J).
Doubling the speed makes the kinetic energy four times bigger.

Gravitational potential energy

ΔGPE = m × g × Δh
m in kg, g in N/kg, height change in m.
A falling object transfers GPE into KE.
Worked example

A 2 kg ball moves at 3 m/s. Find its kinetic energy.

  1. KE = ½ × m × v2
  2. = ½ × 2 × 32
  3. = ½ × 2 × 9 = 9 J

Answer: 9 J

Key idea

Energy is conserved and moves between stores. KE = ½mv2. ΔGPE = mgΔh. Square the speed before multiplying.

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