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v_{f} = v_{o} + at (Missing x)
xx_{o} = v_{o}t + (at^{2})/2 (Missing v_{f})
v^{2} = v_{o}^{2} + 2a(xx_{o}) (Missing t)
Δx = v_{t} = [(v_{o} + v_{f})/2]t (Missing a)
Kinematic Equations (Translational Motion Equations)

Fmax = μΝ , μ is coefficient of friction, N is normal force
μk < μs always
Frictional Force

Fc = mac = mv^{2} /rac= v^{2} /r
Uniform Circular Motion

I = F Δt = ΔMM = mv
Momentum, Impulse

W = F d cosθ
P = ΔW/Δt
Work, Power

Total E = E_{k} + E_{p}
E = mc^{2}
Energy (conservation)

F = kx, k is spring coefficient
W = kx^{2} /2
Spring Force, Spring Work

A v = const.
ρAv = const.
Continuity (fluids)

I = Q/tR = ρl/A
Current and Resistance

Series  Req = R1 + R2 . . .
Paired  1/Req = 1/ R1 +1/ R2...
Resistors (series, par.)

dB = 10 log 10 (I/I0 )
beats = Δ f
Sound

Σi = 0 at a junction
ΣΔV = 0 in a loop
Kirchoff's Laws

Q = mc Δ T (MCAT !)
Q = mL
Thermodynamics

L1 = F1× r1 (CCW + ve)
L2 = F2 × r2 (CW  ve)
Torque Forces

ΣFx = 0 and ΣFy = 0
ΣL = 0
Torque force at EQ

(sin θ1 )/(sin θ2 ) = v1 /v2 = n2 /n1 = λ1 /λ2
n = c/v
Refraction


v_{av} = Δ d / Δ t
a_{av} = Δ v / Δ t
Average Velocity, Average Acceleration

K_{E} = E_{k} = 1/2 mv^{2}
U_{E} = E_{p} = mgh
Kinetic and Potential Energy

Ρ = F/A
Δ Ρ = ρgΔh
Pressure

1/ i + 1/ o = 1/ f = 2/r = Power
M = magnification =  i/o
Optics (Power and Magnification)

alpha (α) particle = _{2}He^{4 }(Helium nucleus)
beta (β) particle = _{1}e^{0 }(an electron)
gamma (γ) ray = no mass, no charge, just electromagnetic energy
Radioactive Particles

Δ m/ Δ t
Δ m = change in mass
Δ t = change in time
Rate of Decay


F = ( Gm_{1}m_{2 }) /r^{2}
Gravitational Force


F = mv^{2 }/r
Centripetal Force

W' = ΔE = ΔK + ΔU
W = Fd cos Ø
Work



J = FΔt = Δp = mv_{f } mv_{i}
Impulse

Elastic  1/2m_{1}v_{1i}^{2} + 1/2m_{2}v_{2i}^{2 }= 1/2m_{1}v_{1f}2 + 1/2m_{2}v_{2f}2
Inelastic  1/2m_{1}v_{1i}2 + 1/2m_{2}v_{2i}2 > 1/2m_{1}v_{1f}2 + 1/2m_{2}v_{2f}2
Completely Inelastic  m_{1}v_{1i}^{2 }+ m_{2}v_{2i}^{2} = (m_{1} + m_{2}) v_{f}
Collisions

= (Load) (Load Distance) / (Effort)(Effort Distance)
Efficiency = W_{out}/W_{in}

x = (m_{1}x_{1} + m_{2}x_{2} + m_{3}x_{3} ...) / (m_{1} + m_{2} + m_{3} ...)
Center of Mass (x)

