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Physics Reference Tables

Physical Constant Acceleration due to gravity on Earth Coulomb's law constant Elementary charge Electron rest mass Gravitational constant Proton rest mass Speed of light in a vacuum Speed of sound in air at STP Symbol g k e me G Value 9.8 m /s/s

2 9.0 × 109 Nm 2 C

1.6 × 10-19 C 9.11 × 10 -31 kg

2 6.67 × 10-11 Nm 2 kg

mp c

1.67 × 10-27 kg 3.00 × 108 m /s 331 m /s

The Index of Refraction for Common Substances Air Alcohol Corn Oil Diamond Glass, Crown Glass, Flint Glycerol Quartz, Fused Water 1.00 1.36 1.47 2.42 1.52 1.61 1.47 1.46 1.33

NCDPI Reference Tables for Physics (October 2006)

Page 1

Mechanics

v = x t

Energy

W = Fx P = W = Fv t

v = velocity t = time

x = position

W = work F = force

x = position

x f = x i + vt x f = x i + vit + 1 at 2 2

a = uniform acceleration F= force m = mass

P = power PEg = mgh KE = 1 mv2 2

F = -kx

t = time v = velocity PEg = gravitational

potential energy

a = v t

v = v + 2ax

2 f 2 i

Fg = weight g = acceleration due to gravity on Earth G = gravitational constant d = distance between centers of mass p = momentum ac = centripetal acceleration Fc = centripetal force r = radius

F= ma Fg = mg

F= Gm1m2 d2

PEs = 1 kx 2 2

m = mass h = height KE = kinetic energy k = spring constant PEs = potential energy stored in a spring

Ft = p = mv

ac = v r

2

2 Fc = mv r

NCDPI Reference Tables for Physics (October 2006)

Page 2

Electricity

F = kq1 q2 d2

F = force k = Coulomb's law constant

2

Series Circuits

V = IR

It = I1 = I2 = I3 = ...

P = VI = I 2 R = V R

q = charge d = distance between centers V = electrical potential difference I = current R = resistance P = power

Vt = V1 + V2 + V3 + ... Req = R1 + R2 + R3 + ...

Parallel Circuits

It = I1 + I2 + I3 + ... Vt = V1 = V2 = V3 = ...

1 = 1 + 1 + 1 + ... R eq R1 R2 R3

Mathematical Formulas

Wave Phenomena

a2 + b2 = c2

a c

T = 1 f

T = period f = frequency v = speed

b

sin = a c cos = b c tan = a b

v = f

n= c v

n1 sin 1 = n2 sin 2

sin c = n2 n1

= wavelength

n = index of refraction c = speed of light in a vacuum

Circumference of a circle = 2 r Area of a rectangle = length × width

n1v1 = n2v2

= angle c = critcal angle

of incidence

Area of a triangle = 1 base × height 2

NCDPI Reference Tables for Physics (October 2006)

Page 3

Electromagnetic Spectrum

(measurement in meters) 104 103 102 101 100 10 --1 10 --2 10 --3 10 --4 10 --5 10 --6 10 --7 10 --8 10 --9 10 --10 10 --11 10 --12 10 --13 Microwaves Infrared Radio waves X rays Ultraviolet Gamma rays

Longer Wavelength Visible Light

Shorter Wavelength

Red

Orange

Yellow Green

Blue

Violet 4.2×10--7 4.0×10--7

7.0×10--7 6.5×10--7

5.9×10--7 5.7×10--7

4.9×10--7

NCDPI Reference Tables for Physics (October 2006) Stock No. 10571

Page 4

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