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vf = vo + at (Missing x)
x-xo = vot + (at2)/2 (Missing vf)
v2 = vo2 + 2a(x-xo) (Missing t)
Δx = vt = [(vo + vf)/2]t (Missing a)
Kinematic Equations (Translational Motion Equations)
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Fmax = μΝ , μ is coefficient of friction, N is normal force
μk < μs always
Frictional Force
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Fc = mac = mv2 /rac= v2 /r
Uniform Circular Motion
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I = F Δt = ΔMM = mv
Momentum, Impulse
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W = F d cosθ
P = ΔW/Δt
Work, Power
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Total E = Ek + Ep
E = mc2
Energy (conservation)
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F = -kx, k is spring coefficient
W = kx2 /2
Spring Force, Spring Work
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A v = const.
ρAv = const.
Continuity (fluids)
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I = Q/tR = ρl/A
Current and Resistance
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Series - Req = R1 + R2 . . .
Paired - 1/Req = 1/ R1 +1/ R2...
Resistors (series, par.)
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dB = 10 log 10 (I/I0 )
beats = Δ f
Sound
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Σi = 0 at a junction
ΣΔV = 0 in a loop
Kirchoff's Laws
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Q = mc Δ T (MCAT !)
Q = mL
Thermodynamics
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L1 = F1× r1 (CCW + ve)
L2 = F2 × r2 (CW - ve)
Torque Forces
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ΣFx = 0 and ΣFy = 0
ΣL = 0
Torque force at EQ
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(sin θ1 )/(sin θ2 ) = v1 /v2 = n2 /n1 = λ1 /λ2
n = c/v
Refraction
-
-
vav = Δ d / Δ t
aav = Δ v / Δ t
Average Velocity, Average Acceleration
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KE = Ek = 1/2 mv2
UE = Ep = mgh
Kinetic and Potential Energy
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Ρ = F/A
Δ Ρ = ρgΔh
Pressure
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1/ i + 1/ o = 1/ f = 2/r = Power
M = magnification = - i/o
Optics (Power and Magnification)
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alpha (α) particle = 2He4 (Helium nucleus)
beta (β) particle = -1e0 (an electron)
gamma (γ) ray = no mass, no charge, just electromagnetic energy
Radioactive Particles
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Δ m/ Δ t
Δ m = change in mass
Δ t = change in time
Rate of Decay
-
-
F = ( Gm1m2 ) /r2
Gravitational Force
-
-
F = mv2 /r
Centripetal Force
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W' = ΔE = ΔK + ΔU
W = Fd cos Ø
Work
-
-
-
J = FΔt = Δp = mvf - mvi
Impulse
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Elastic - 1/2m1v1i2 + 1/2m2v2i2 = 1/2m1v1f2 + 1/2m2v2f2
Inelastic - 1/2m1v1i2 + 1/2m2v2i2 > 1/2m1v1f2 + 1/2m2v2f2
Completely Inelastic - m1v1i2 + m2v2i2 = (m1 + m2) vf
Collisions
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= (Load) (Load Distance) / (Effort)(Effort Distance)
Efficiency = Wout/Win
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x = (m1x1 + m2x2 + m3x3 ...) / (m1 + m2 + m3 ...)
Center of Mass (x)
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