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Mechanics equations

The 17 equations the mechanics notes display, each with a link to the lesson that states it. Of the 17, the data booklet prints 14, 2 are yours to memorise and 1 carries no badge either way.

Year 12 · 7 lessons with equations.

The marks refer to the AQA 7408 data booklet. An equation it prints is marked as such, and one it leaves out is marked to learn. An equation with no mark has not been checked against that booklet, and some of these belong to the Edexcel, OCR or CIE specification rather than AQA’s, so check them against your own board’s data or formula booklet.

7 lessons

Moments and equilibrium

moment=Fd\text{moment} = F dIN THE AQA DATA BOOKLET

Motion graphs and the SUVAT equations

v=ΔsΔta=ΔvΔtv = \frac{\Delta s}{\Delta t} \qquad a = \frac{\Delta v}{\Delta t}IN THE AQA DATA BOOKLET
v=u+atv = u + atIN THE AQA DATA BOOKLET
s=12(u+v)ts = \tfrac{1}{2}(u + v)tIN THE AQA DATA BOOKLET
s=ut+12at2s = ut + \tfrac{1}{2}at^{2}IN THE AQA DATA BOOKLET
v2=u2+2asv^{2} = u^{2} + 2asIN THE AQA DATA BOOKLET

Newton's laws and the resultant force

F=maF = maIN THE AQA DATA BOOKLET

Mass and weight

W=mgW = mgNOT IN THE AQA DATA BOOKLET: LEARN IT

Momentum and impulse

p=mvp = mvNOT IN THE AQA DATA BOOKLET: LEARN IT
F=Δ(mv)ΔtF = \frac{\Delta(mv)}{\Delta t}IN THE AQA DATA BOOKLET
Ek=p22mE_{k} = \frac{p^{2}}{2m}
FΔt=Δ(mv)F\Delta t = \Delta(mv)IN THE AQA DATA BOOKLET

Work, energy and power

W=FscosθW = Fs\cos\thetaIN THE AQA DATA BOOKLET
P=ΔWΔt=FvP = \frac{\Delta W}{\Delta t} = FvIN THE AQA DATA BOOKLET
efficiency=useful output powerinput power\text{efficiency} = \frac{\text{useful output power}}{\text{input power}}IN THE AQA DATA BOOKLET

Conservation of energy

Ek=12mv2E_{k} = \tfrac{1}{2}mv^{2}IN THE AQA DATA BOOKLET
ΔEp=mgΔh\Delta E_{p} = mg\Delta hIN THE AQA DATA BOOKLET

Every equation in the library is indexed by unit on the equation index, and the mechanics notes are where these equations are derived and used. The 2 the booklet leaves out are on the equations to memorise, alongside the rest of the course.

Also: Measurements equations · Materials equations