Energy cheat sheet

Last-night recap — not a substitute for the lessons. $g=10\,\text{N/kg}$.

Formula grid

QuantityEquationSI units
Efficiencyuseful / total input $\times 100\%$% or decimal
Work done$W=F d$J, N, m
Gravitational energy$GPE=m g h$J, kg, N/kg, m
Kinetic energy$KE=\tfrac{1}{2} m v^2$J, kg, m/s
Power$P=W/t=E/t$W, J, s

$g=10\,\text{N/kg}$. $1\,\text{kJ}=1000\,\text{J}$. $1\,\text{kW}=1000\,\text{W}$. Work done = energy transferred.

Eight stores

Chemical · kinetic · gravitational · elastic · thermal · magnetic · electrostatic · nuclear.

There is no electrical store. Electricity is a pathway.

Four pathways

Mechanically · electrically · by heating · by radiation (light and sound).

Wasted energy usually ends in the thermal store of the surroundings.

Sankey reading rules

Heat-transfer matrix

ConductionConvectionRadiation
Needsparticles (solids best)a fluid that can movenothing — infrared
Mechanismlattice vibrations; free electrons in metalsheat → expand → less dense → riseEM waves; hotter emits more
Cannotcross a vacuumhappen in a solid or a vacuumbe stopped by a vacuum

Dull black: best emitter and absorber. Shiny silver: worst emitter/absorber, best reflector.

Insulation one-liners

Conservation links

No drag: $mgh=\tfrac{1}{2}mv^2$. With friction: $mgh=KE+W_{\text{friction}}$.

Common exam traps

4.18P–4.19P (generating electricity) are not on this Double Award course.