Equations Flashcards

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1
Q

Photon energy

A

E=hf=hc/(wavelength)

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2
Q

Venturi effect

A

Oxygen pressure is the sum of the oxygen static pressure P and the oxygen flow pressure (density x volume-squared/2)

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3
Q

Acceleration

A

velocity/time with changing direction

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4
Q

Uniform motion - find a

A

d=1/2(v0+v)t

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5
Q

Uniform motion - find d

A

v=v0+at

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6
Q

Uniform motion - find v

A

d=v0t+1/2at2

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7
Q

Uniform motion - find v0

A

d=vt-1/2at2

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8
Q

Uniform motion - find t

A

v2=v02+2ad

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9
Q

Gravitational acceleration

A

10m/s2

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10
Q

Projectile motion - horizontal displacement

A

x=v0t

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11
Q

Projectile motion - vertical displacement

A

y=v0t+1/2(-g)t2

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12
Q

Projectile motion - horizontal velocity

A

vx=v0 (constant)

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13
Q

Projectile motion - vertical velocity

A

vy=v0+(-g)t

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14
Q

Projectile motion - horizontal acceleration

A

ax=0

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15
Q

Projectile motion - vertical acceleration

A

ay=-g

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16
Q

Newton’s Second Law

A

Fnet=ma

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17
Q

Newton’s Law of Gravitation

A

Fgrav=G(M1M2/r2)

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18
Q

Gravitational Acceleration

A

g=G(M1/r2)

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19
Q

Kinetic Friction

A

Ff= μk F(normal)

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20
Q

Static Friction

A

Ff= μs F(normal)

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21
Q

Parallel Force due to Gravity

A

F=mgsinΘ

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22
Q

Perpendicular Force due to Gravity

A

F=mgcosΘ

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23
Q

Center of Mass for Point Masses

A

X=(m1x1)+(m2x2)+(…)/m1+m2+m3

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24
Q

Centripetal Acceleration

A

a=v2/r

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25
Q

Centripetal Force

A

F=ma=mv2/r

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26
Q

Torque

A

τ=rFsinΘ

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27
Q

Work

A

W=FdcosΘ

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28
Q

Power

A

W/t

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29
Q

Kinetic Energy

A

KE=1/2mv2

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30
Q

Work-Energy Theorem

A

W=ΔKE

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31
Q

Potential Energy

A

PE=mgh

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32
Q

Total Mechanical Energy

A

E=KE+PE=1/2mv2

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33
Q

Mechanical Advantage

A

MA=F(resistance)/F(effort)

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34
Q

Momentum

A

p=mv

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35
Q

Impulse

A

J=Δp=Δmv=FΔt

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36
Q

Angular Momentum

A

L=rvm

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37
Q

Efficiency (%)

A

W(output)/E(input)

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38
Q

Work done by gas piston

A

W=PΔV

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39
Q

Change in Internal Energy

A

ΔE=Q-W

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40
Q

Change in absolute temperature of an ideal gas

A

Constant Volume - Q=nCT

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41
Q

Density

A

ρ=m/v

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42
Q

Specific Gravity

A

ρ(substance)/ρ(water)

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43
Q

Weight

A

w=mg

44
Q

Pressure

A

F/A

45
Q

Hydrostatic Gauge Pressure

A

P(gauge)=ρ(fluid)gD

46
Q

Total Hydrostatic Pressure

A

P(total)=P(surface/gas)+P(gauge)

47
Q

Archimedes Principle

A

F(bouy)=ρ(fluid)V(sub)g

48
Q

Apparent weight of submerged object

A

apparent weight = w (object) - F (bouy)

49
Q

Pascal’s Law

A

F1/A1=F2/A1

50
Q

Flow Rate

A

f=Av

51
Q

Continuity Equation

A

A1V1=A2V2

52
Q

Bernoulli’s Equation (Ideal Fluid)

A

P1 + 1/2ρv2 + ρgy = P2 + 1/2ρv2 + ρgy

53
Q

Floating Object Relationship

A

V (sub)/V=ρ(obj)/ρ(flu)

54
Q

Toricelli’s Result

A

v(efflux) = √ 2gD

55
Q

Stress

A

Stress=F/A

56
Q

Strain

A

Strain =ΔL/L0

57
Q

Hooke’s Law

A

Stress=modulus x strain

58
Q

Tension or compression

A

ΔL=FL0/EA

59
Q

Shear

A

X=FL0/AG

60
Q

Coulomb’s Law

A

F(elec)=k (lQl lql/r2)

61
Q

Electric field due to point charge (Q)

A

E=k (lQl/r2)

62
Q

Electric force by field

A

F=qE

63
Q

Electric Potential

A

EP=k(Q/r)

64
Q

Change in Electrical PE

A

ΔPE = qΔEP = qV

65
Q

Work done by electric field

A

W= - ΔPE

66
Q

Change in KE

A

ΔKE = - ΔPE = W (e field)

67
Q

Current

A

I=Q/t

68
Q

Resistance

A

R= ρ (L/A) ρ=resistivity

69
Q

Ohm’s Law

A

V=IR

70
Q

Resistors in series

A

R= R1 + R2 + R3…

71
Q

Resistors in parallel

A

1/R = 1/R1 + 1/R2…

72
Q

Power of circuit

A

P=IV=I2R=V2/R

73
Q

Charge of parallel plate capacitors

A

Q=CV

74
Q

Capacitance (no diaelectric)

A

C=ε(A/d)

75
Q

Capacitance (with diaelectric)

A

C=KC(without)=Kε(A/d)

76
Q

Electric field in parallel plate capacitor

A

V=Ed

77
Q

Stored potential energy in capacitor

A

PE=1/2 QV = 1/2 CV2 = Q2/2C

78
Q

Capacitors in parallel

A

C=C1 + C2 + …

79
Q

Capacitors in series

A

1/C=1/C1+ 1/C2 +…

80
Q

Magnetic force on moving charge (q)

A

F=-qvB F= lqlvBsinΘ sinΘ is angle between v and B

81
Q

Hooke’s law (spring)

A

F=-kx

82
Q

Elastic potential energy

A

PE = 1/2kx2

83
Q

Spring-block oscillator frequency

A

f=(1/2π)(√k/m)

84
Q

Simple pendulum frequency

A

f=(1/2π)(g/l)

85
Q

Period/frequency

A

T=1/f

86
Q

Wave equation

A

v=λf

87
Q

Standing-wave (harmonic) wavelength

A

λn=2L/n (n=1, 2, 3) λn=λ1/n

88
Q

Standing-wave (harmonic) frequencies

A

fn=(v/2L)n fn=nf1

89
Q

Velocity of sound

A

v=√B/ρ

90
Q

Intensity

A

I=Power/Area

91
Q

Intensity level

A

β=10 log (I/I0)

92
Q

Harmonic frequency (sound) - open end

A

f=nv/2L

93
Q

Harmonic frequency (sound) - closed end

A

f=nv/4L

94
Q

Harmonic wavelength (sound) - open end

A

λ=2L/n

95
Q

Harmonic wavelength (sound) - closed end

A

λ=4L/n

96
Q

Doppler effect

A

f= (v+/-vD)/(v+/-vS)fs

97
Q

Frequency of a beat

A

f= lf1 - f2l

98
Q

Index of refraction

A

n=c/v

99
Q

Law of reflection

A

Θ1=Θ1`

100
Q

Law of refraction (Snell’s law)

A

n1sinΘ1=n2sinΘ2

101
Q

Mirror-Lens equation

A

1/o + 1/i = 1/f

102
Q

Focal length

A

f = R/2

103
Q

Magnification

A

m = -i/o

104
Q

Lens power

A

P = 1/f P(combination) = P1 + P2

105
Q

Photoelectron Energy

A

KEmax = hf - energy potential

106
Q

Stopping Voltage

A

-eVstop=KEmax