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Mechanics Equations

Equations for the mechanics section of AQA Further Maths A level.

TermDefinition
Work done by a constant force W=F𝑥
Work done by a variable force W=∫F d𝑥 (from 0 to 𝑥)
Work done by a constant force at angle θ W = F𝑥cosθ
Power P = W/t or P=Fv
Kinetic energy KE = 0.5mv²
Gravitational Potential energy GPE = mgh
Hooke's law T = (λ𝑥/l) = k𝑥
Elastic Potential energy EPE = 0.5(λ𝑥²)/l = 0.5k𝑥²
Momentum p = mv
Impulse Ft = mv - mu
Coefficient of restitution range and meaning of limits 0≤e≤1 e=0 means inelastic (no rebound) e=1 means perfectly elastic
Coefficient of restitution between two objects e = (v₂-v₁) / (u₁-u₂)
Coefficient of restitution between an object and a wall e = v/u
Impulse of a variable force ∫F dt (from 0 to t) = mv - mu
Arc length S = rθ
Angular velocity ω = (dθ) / (dt)
Velocity around a curve v = rω
Time when travelling around a curve T = 2π/ω
Acceleration around a curve a = rω² = v²/r
Created by: Charlie_M
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