Physics Equations Course Comparison

Transcription

1 Physics Equatios Couse Compaiso Ietify you couse. You may use ay of the equatios beeath a to the left of you couse. Math A A PeCalculus Calculus AB o BC A to B is OR A:B is (Cocuet) (Cocuet) B B Algeba I A = bh A = bh C = π Rise Δy m = = Ru Δx a + b = c Algeba II A = π V = 4 3 π3 siθ = opp hyp cosθ = aj hyp taθ = opp aj ( ) siθ = taθ θ < 5 S = 4π V = wh V = π S = π + π ( ) = x x x f x = f u u x x six x cos x ( ) = cos x ( ) = six ( ) x ex = e x x x = + x+ x = l x x Costat Motio Δ = v avg t v avg = Δ Δt f = i + vt No ew equatios. Use the equatios to the left. v = x t Chagig Motio a = Δv Δt v f = v i + at Δ = v i t + at v f = v i + aδ No ew equatios. Use the equatios to the left. a = v t D Motio = v x t v y = gt t = h g v x = v cosθ v y = v siθ v = gh R = v si( θ) g

2 Dyamics Cicula Motio Peioic Motio Wok a Eegy Σ F = Fet = ma a = gsiθ p F g = mg (weight) F g = Gm m o Gm m a = m m F = " % $ m # + m ' & g t F G = Gm m ˆ No equatios No equatios No equatios W T = f π v = T v a c = W et = ΔKE F fictio µ F N F spig = kx τ = F si θ T = k 3 T peulum = π L g T spig W = ΔE PE gavity = mgh KE = mv = π m k W E P = = t t = FΔ W = FΔcosθ No ew equatios. Use the equatios to the left. ω = g L ω = k m W = FΔ cosθ U G = Gm m F x = U x τ = F Στ = τ et = Iα θ = θ 0 + ωt + αt ω = ω o + αt v = ω a c = ω I = m = Σm τ = L t x = x max cos ωt + φ T = π ω = f W = ( ) F K = Iω P = W t P = F v PE spig = kx

3 Mometum Impulse Waves p = mv No ew equatios. J = Ft = Δp J = FetΔt = Δp = mδv Use the equatios to the left. cm = Σm Σm L = p = Iω v = λf c = λf siθ c = c = siθ = mλ v i siθ i = siθ x m mλl f = + o i No equatios L 4L λ = o λ = f = f M = h i = i h o o R f =

4 Electostatics Q = Ne F E = kq q o kq q U = qv = kq q λ = Q L F E = V σ = Q E E = A q! V = q + q + q 3 # " +... $ & ρ = Q No equatios kq % V E = F E = q q W 4πε o V = q Φ E = E A = Q ε 0 E = V V = 4πε o q i i i U E = qv = q q 4πε o ΔV = E

5 V = ir C = Q P = iv = i R = V V R i = Q C = κε A o t R = ρ R seies = R +R +R R = Σ A R paallel = R + R + R 3. R seies R i = Σ paallel R i i = ΔQ Δt C paallel = C + C +... C seies = C + C +... U C = QV = CV E = ρj i = Q t i = Nev A C paallel = ΣC i Cicuits = Σ C seies C i τ = RC # q(t) = Q e t & τ % ( $ ' q(t) = Qe t τ ε = L i t U L = Li τ = L R # i(t) = i max e t & τ % ( $ ' i(t) = i max e t τ ω = LC

6 Magetism V P = i F S Φ B = BAcosθ B = qv B V S i P ε = ΔΦ B B = µ o i F Δt ε = BLv B = µ B = qvb F B = qvbsiθ o i F B = BiL F B = BiLsiθ 4π B = µ o i π 3 B = µ o i siθ 4π F B = i B ε = B S = µ o i B T = µ in o π Φ B = B A E = Φ B t L = NΦ B i L = µ o A Moe E = Pt E = hf W = hf t KE = E W KE = hf hf t E E = h h λ = = p mv E = mc E = ( Δm)c E = hf = pc KE max = hf φ AP Physics C oes ot stuy this topic.

7 e = W Q H No equatios Q = mcδt 9 k B = R AP Physics C oes ot stuy this topic. F = C + 3 N A 5 K = C PV = RT = Nk B T K avg = 3 k B T v ms = 3RT M = 3k T B µ W = PΔV ΔU = Q + W U = 3 RT Themoyamics Q = 3 RΔT Q = 5 RΔT! W = RTl V $ f # & " % C p C v = R V i γ = C p C v = 5 3 Q H = W + Q C e c = T H T C T H ΔS = Q T

8 PeAP Physics oes oes ot stuy this ot stuy this topic. ρ = m AP Physics C oes ot stuy this topic. topic. V P = P o + ρgh F bouy = ρvg A v = A v Fluis P + ρgh+ ρv ΔL = αl 0 ΔT ΔV = βv 0 ΔT H = kaδt L P = F A

9 Gaphs Costats positio vs. time slope = velocity P vs. V aea = wok U vs. x slope = -F velocity vs. time slope = acceleatio velocity vs. time aea = isplacemet acceleatio vs. time aea = Δv foce vs. istace aea = wok foce vs. time aea = impulse o Δp mometum vs. time slope = foce KE vs. fequecy slope = h Poto mass = m p =.67 x 0-7 kg Neuto mass = m =.67 x 0-7 kg Electo mass = m e = 9. x 0-3 kg Avogao s umbe = N o = 6.0 X 0 3 mol - Uivesal gas costat = R = 8.3 J/(mol K) Boltzma s costat = k B =.38 X 0-3 J/K Elemetay chage = e =.60 X 0-9 C electo-volt; ev =.6 X 0-9 J Spee of light i a vacuum = c = 3.00 X 0 8 m/s Uivesal gavitatioal costat = G = 6.67 x 0 - N m /kg Acceleatio ue to gavity at the Eath s suface = g = 9.8 m/s atomic mass uit = u =.66 X 0-7 kg = 93 MeV/c Plack s costat = h = 6.63 X 0-34 J s = 4.4 X 0-5 ev s Vacuum pemittivity = ε o = 8.85 X 0 - C /N m Coulomb s law costat = k = /4πε o = 9.0 X 0 9 Nm /C Vacuum pemeability = µ o = 4π X 0-7 T m/a atmosphee Pessue = atm =.0 X 0 5 N/m =.0 X 05 Pa Spee of sou i ai at 0 C = 343 m/s Iex of efactio of ai = = Pi = π = 3.4