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83 Cards in this Set

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Big 5 #1
d = 1/2(v˳ + v)t
Big 5 #2
v = v˳ + at
Big 5 # 3
d = v˳t + ½ at2
Big 5 #4
d = vt - ½ at2
Big 5 # 5
v2 = v˳2 + 2ad
Projectile Motion
Horizontal
x = V˳xt

Vx = V˳x

ax = 0
Projectile Motion
Vertical
y = V˳yt - 1/2gt2

Vy= V˳y - gt

ay = -g
Net Force
Fnet = ma

(mass x acceleration)
Force of Gravity
Fgrav = w = mg

Fgrav = G Mm/r2

g = G M/r2
Cos ᶿ 0
√4/2 = 1
Cos ᶿ 30
√3/2 = 0.85
Cos ᶿ 45
√2/2 = 0.7
Cos ᶿ 60
√1/2 = 0.5
Cos ᶿ 90
√0/2 = 0
Sin ᶿ 0
√0/2 = 0
Sin ᶿ 30
√1/2 = 0.5
Sin ᶿ 45
√2/2 = 0.7
Sin ᶿ 60
√3/2 = 0.85
Sin ᶿ 90
√4/2 = 1
Force of Kinetic Friction
Ff = μkFn

Fn = normal force
μk = kinetic friction
Force of Static Friction
Ffmax = μs max Fn

Fn = normal force
μs max = max static friction
Centrepital Accerleration
ac = v2/r
Centrepital Force
Fc = mv2/r
Velocity
V =∆x/t

∆x = displacement
∆t = change in time
Acceleration
a = ∆v/∆t

∆v = change in velocity
∆t = change in time
Torque
τ = rFsin ᶿ = LF

r = distance of force from pivot point
L = lever arm
Center of Mass
xCM = m1x1 + ...mnxn/ m1...+ mn

m= mass
x = distance from center
Center of Gravity
w1x1 +....wnxn/ w1...+ wn

w = weight
x = distance from center
Work
W =Fd cos ᶿ

F= Force
d= distance
Kinetic Energy
KE = 1/2mv2
Work Energy Theorem
W total = ∆KE
Power
P = W/t = Fv

W = work = fd
t = time
F = Force = ma
v = velocity = a/t
Potential Energy
PE = mgh

m = mass
g = gravity
h = height
Mechanical Energy
E = KE + PE
Conservation of Mechanical Energy
Ei = Ef or KEi + PEi = KEf + PEf
Momentum
p = mv

m = mass
v = velocity
Impulse
J = Ft

F = Force
t = Time
Impulse Momentum Theorem
J = ∆p
Stress
F/A

F= force
A = Area
Strain
∆L/L

(Change in length/ Original length)
Hooke's Law
∆L= FL/EA
Density
ρ = m/v
Specific Gravity
ρ/ρH2O
Archimedes' Principle
Fb = ρfluid Vsub g
Pressure
P = F perpedicular/ A

A= area
Hydrostatic Pressure
P = Pi + pgD = Patm + pgD
Gauge Pressure
Pgauge = P - Patm
Pascal's Law
F1/A1 = F2/A2
Volume flow rate
f = Av

A = Area
v = velocity
Continuity equation
A1v1 = A2v2
Bernoulli's equation
P1 + pgy1 + 1/2pv2i = P1 + pgy2 + 1/2pv2
Current
I = Q/t
Q = charge
t = time
Resistance
R = V/t

V = Voltage
t = Time
Ohm's Law
V = IR

V = Voltage
I = Current
R = Resistance
Resistors in series
Rs = R1 + R2 +...
Resisters in Parallel
1/R1 + 1/R2 +...
Power in Circuit
P = IV = I2R = V2/R

I = current
V = voltage
R = resister
Coulomb's Law
FE = k Qq/r2

k = constant
Q = charge
r = distance
Electric field due to Q
E = k Q/r2
Electric Force by field
FE = qE

q = charge
E = electric field
Electric potential due to Q
Φ = k Q/r
∆PE = q∆Φ = qV
Magnetic force
Fm = q(vB)

Fm = qvBsinᶿ

q = charge
v = velocity
B = magnetic field
Capacitance
C = Q/V

Q = charge
V = voltage
C parallel plate
ε A/d

ε = constant
A = area
d = distance
C with dielectric
k (C) without

electric field between plates E = V/d
Capacitors in series
1/C + 1/C2..
Capacitors in parallel
C1 + C2 +...
Energy of a Photon
E = hf

f = c/λ
c = 3.0 x 10^8 in vacuum
λ = wave length
Index of Refraction
n = c/v

c = speed of light in vacuum
v = speed of light in medium
Law of Reflection
ᶿ1 = ᶿ1'
Snell's Law (Law of Refraction)
n1sinᶿ1 = n2sinᶿ2
Mirror lens equation
1/o + 1/i = 1/f

1/o = objects distance from mirror
1/i = image distance from mirror
1/f = focal point
Critical Angle of Total Internal Reflection
sinᶿcrit = n2/n1
Focal Length
R/2
Magnification
m = -i/o

i = image distance from mirror
o = object distance from mirror
Lens Power
P = 1/f
Perfectly Inelastic Collision
m1v1 + m2v2 = (m1+m2) v3
Object Sinking
Pobject > Pfluid

Fnet = ma
Fg - Fb = ma

P = density
Object at bottom
Pobject > Pfluid

Fnet = 0
Fn + Fb = Fg

P = density
Object Rising
Pfluid > Pobject

Fnet = ma

Fb - Fg = ma

P = density
Object Floating
P fluid > P object

Fnet = 0
Fb = Fg

P = density
Transverse wave equation
frequency x wavelength = wave speed
Doppler Effect
F' = f (V +- Vo)/(V +- Vs)

F = perceived frequency
f = emitted frequency
V = speed of sound
Vo = speed of detector
Vs = speed of source