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83 Cards in this Set
- Front
- Back
Big 5 #1
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d = 1/2(v˳ + v)t
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Big 5 #2
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v = v˳ + at
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Big 5 # 3
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d = v˳t + ½ at2
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Big 5 #4
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d = vt - ½ at2
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Big 5 # 5
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v2 = v˳2 + 2ad
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Projectile Motion
Horizontal |
x = V˳xt
Vx = V˳x ax = 0 |
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Projectile Motion
Vertical |
y = V˳yt - 1/2gt2
Vy= V˳y - gt ay = -g |
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Net Force
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Fnet = ma
(mass x acceleration) |
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Force of Gravity
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Fgrav = w = mg
Fgrav = G Mm/r2 g = G M/r2 |
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Cos ᶿ 0
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√4/2 = 1
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Cos ᶿ 30
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√3/2 = 0.85
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Cos ᶿ 45
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√2/2 = 0.7
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Cos ᶿ 60
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√1/2 = 0.5
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Cos ᶿ 90
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√0/2 = 0
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Sin ᶿ 0
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√0/2 = 0
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Sin ᶿ 30
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√1/2 = 0.5
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Sin ᶿ 45
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√2/2 = 0.7
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Sin ᶿ 60
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√3/2 = 0.85
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Sin ᶿ 90
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√4/2 = 1
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Force of Kinetic Friction
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Ff = μkFn
Fn = normal force μk = kinetic friction |
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Force of Static Friction
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Ffmax = μs max Fn
Fn = normal force μs max = max static friction |
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Centrepital Accerleration
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ac = v2/r
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Centrepital Force
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Fc = mv2/r
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Velocity
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V =∆x/t
∆x = displacement ∆t = change in time |
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Acceleration
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a = ∆v/∆t
∆v = change in velocity ∆t = change in time |
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Torque
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τ = rFsin ᶿ = LF
r = distance of force from pivot point L = lever arm |
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Center of Mass
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xCM = m1x1 + ...mnxn/ m1...+ mn
m= mass x = distance from center |
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Center of Gravity
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w1x1 +....wnxn/ w1...+ wn
w = weight x = distance from center |
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Work
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W =Fd cos ᶿ
F= Force d= distance |
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Kinetic Energy
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KE = 1/2mv2
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Work Energy Theorem
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W total = ∆KE
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Power
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P = W/t = Fv
W = work = fd t = time F = Force = ma v = velocity = a/t |
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Potential Energy
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PE = mgh
m = mass g = gravity h = height |
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Mechanical Energy
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E = KE + PE
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Conservation of Mechanical Energy
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Ei = Ef or KEi + PEi = KEf + PEf
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Momentum
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p = mv
m = mass v = velocity |
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Impulse
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J = Ft
F = Force t = Time |
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Impulse Momentum Theorem
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J = ∆p
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Stress
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F/A
F= force A = Area |
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Strain
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∆L/L
(Change in length/ Original length) |
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Hooke's Law
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∆L= FL/EA
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Density
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ρ = m/v
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Specific Gravity
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ρ/ρH2O
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Archimedes' Principle
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Fb = ρfluid Vsub g
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Pressure
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P = F perpedicular/ A
A= area |
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Hydrostatic Pressure
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P = Pi + pgD = Patm + pgD
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Gauge Pressure
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Pgauge = P - Patm
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Pascal's Law
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F1/A1 = F2/A2
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Volume flow rate
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f = Av
A = Area v = velocity |
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Continuity equation
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A1v1 = A2v2
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Bernoulli's equation
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P1 + pgy1 + 1/2pv2i = P1 + pgy2 + 1/2pv2
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Current
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I = Q/t
Q = charge t = time |
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Resistance
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R = V/t
V = Voltage t = Time |
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Ohm's Law
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V = IR
V = Voltage I = Current R = Resistance |
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Resistors in series
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Rs = R1 + R2 +...
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Resisters in Parallel
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1/R1 + 1/R2 +...
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Power in Circuit
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P = IV = I2R = V2/R
I = current V = voltage R = resister |
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Coulomb's Law
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FE = k Qq/r2
k = constant Q = charge r = distance |
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Electric field due to Q
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E = k Q/r2
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Electric Force by field
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FE = qE
q = charge E = electric field |
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Electric potential due to Q
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Φ = k Q/r
∆PE = q∆Φ = qV |
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Magnetic force
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Fm = q(vB)
Fm = qvBsinᶿ q = charge v = velocity B = magnetic field |
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Capacitance
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C = Q/V
Q = charge V = voltage |
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C parallel plate
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ε A/d
ε = constant A = area d = distance |
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C with dielectric
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k (C) without
electric field between plates E = V/d |
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Capacitors in series
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1/C + 1/C2..
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Capacitors in parallel
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C1 + C2 +...
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Energy of a Photon
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E = hf
f = c/λ c = 3.0 x 10^8 in vacuum λ = wave length |
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Index of Refraction
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n = c/v
c = speed of light in vacuum v = speed of light in medium |
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Law of Reflection
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ᶿ1 = ᶿ1'
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Snell's Law (Law of Refraction)
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n1sinᶿ1 = n2sinᶿ2
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Mirror lens equation
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1/o + 1/i = 1/f
1/o = objects distance from mirror 1/i = image distance from mirror 1/f = focal point |
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Critical Angle of Total Internal Reflection
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sinᶿcrit = n2/n1
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Focal Length
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R/2
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Magnification
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m = -i/o
i = image distance from mirror o = object distance from mirror |
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Lens Power
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P = 1/f
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Perfectly Inelastic Collision
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m1v1 + m2v2 = (m1+m2) v3
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Object Sinking
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Pobject > Pfluid
Fnet = ma Fg - Fb = ma P = density |
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Object at bottom
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Pobject > Pfluid
Fnet = 0 Fn + Fb = Fg P = density |
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Object Rising
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Pfluid > Pobject
Fnet = ma Fb - Fg = ma P = density |
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Object Floating
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P fluid > P object
Fnet = 0 Fb = Fg P = density |
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Transverse wave equation
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frequency x wavelength = wave speed
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Doppler Effect
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F' = f (V +- Vo)/(V +- Vs)
F = perceived frequency f = emitted frequency V = speed of sound Vo = speed of detector Vs = speed of source |