Conservation of Mechanical Energy (Edexcel A-Level Further Mathematics): Flashcards

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Conservation of Mechanical Energy
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Principle of conservation of mechanical energy

When only conservative forces act, total mechanical energy remains constant

Example of a conservative force

Gravity

Conservation of mechanical energy equation

KEinitial+PEinitial=KEfinal+PEfinalKE_{initial} + PE_{initial} = KE_{final} + PE_{final}

Formula for kinetic energy

KE=12mv2KE = \frac{1}{2}mv^2

Formula for potential energy

PE=mghPE = mgh

Height formula for inclined plane

h=dsin⁡θh = d \sin \theta

What happens to mechanical energy with only conservative forces?

Remains constant

Energy transformation in mechanical systems

KE and PE convert, but total energy unchanged

SI unit for energy

Joules (JJ)

SI unit for speed

Metres per second (ms−1\text{ms}^{-1})

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