formula sheet

# Physics for Scientists and Engineers (3rd Edition)

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Unformatted text preview: Useful formulae: I assume that you know simple mathematical formulae, i.e. algebra (solving quadratic equations etc.), trigonometry (sin, cos, tan, etc.), and geometry (circumference and area of circle, volume of sphere, etc.)! Velocity and acceleration ; dt v d a ; dt r d v r r r r = = Translational motion in one dimension with constant acceleration 2 v v v ; ) x- a(x 2 v v ; t v x x ; at v 2 2 v + = + = + = + = Centripetal acceleration r v a 2 R = Newton’s laws of motion ∑ − = = = ⇒ = 21 12 F F ; a m F ; const. v F r r r r Weight and force of gravity 21 2 2 1 12 G rˆ r m m G F ; g m F − = = r r r Friction N s fr N k fr F F ; F F stat. kin. µ ≤ µ = Spring force kx F s − = Work and kinetic energy ; K W ; mv 2 1 K ; l d F W net 2 a ∆ = = ⋅ = ∫ b r r Potential energy 2 F kx 2 1 U ; r / GMm U ; mgy U ; W U = − = = − = ∆ E W ; U K E NC i i ∆ = + = ∑ Power v F dt dW P r r ⋅ = = Linear momentum dt p d F ; v m p r r r r = = ∑ p p ; p dt F J ; f i ∫ ∑ =...
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formula sheet - Useful formulae I assume that you know...

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