FORMULAS Flashcards

Question 1

Q

Universal Gravitation Equation

Answer

A

F = G (m₁ * m₂) / r², where G = 6.67 x 10^-11

Question 2

Q

Kinetic Friction Equation

Answer

A

F_k = μ_k * N

Question 3

Q

Kinematics (no displacement)

Answer

A

v = v_i + (a * t)

Question 4

Q

Kinematics (no final velocity)

Answer

A

x = (v_i * t) + ((a * t²) / 2)

Question 5

Q

Kinematics (no time)

Answer

A

v² = v_i² + (2 * a * x)

Question 6

Q

Kinematics (no acceleration)

Answer

A

x = v_bar * t

Question 7

Q

Centripetal Force

Answer

A

F_c = (m * v²) / r

Question 8

Q

Torque

Answer

A

τ = r * F = r * F * sinθ

Question 9

Q

Kinetic Energy

Answer

A

K = (1/2) * m * v²

Question 10

Q

Gravitational Potential Energy

Answer

A

U = m * g * h

Question 11

Q

Elastic Potential Energy

Answer

A

E = (1/2) * k * x²

Question 12

Q

Total Mechanical Energy

Answer

A

E = Kinetic Energy + Potential Energy

Question 13

Q

Definition of Work (mechanial)

Answer

A

W = F * d = F * d * cosθ

Question 14

Q

Definition of Work (isobaric gas-piston system)

Answer

A

W = P * ΔV

Question 15

Q

Definition of Power

Answer

A

P = W / t = ΔE / t

Question 16

Q

Work-Energy theorem

Answer

A

W_net = ΔK = K_f - K_i

Question 17

Q

Mechanical Advantage

Answer

A

F_out/ F_in

Question 18

Q

Efficiency

Answer

A

W_out / W_in =
((load) * (load distance)) / ((effort) * (effort distance))

Question 19

Q

Temperature Conversions (Farenheit -> Celcius, Kelvin -> Celcius)

Answer

A

F = (9 / 5) * C + 32
K = C + 273

Question 20

Q

Thermal Expansion

Answer

A

ΔL = α * L * ΔT

Question 21

Q

Volume Expansion

Answer

A

ΔV = β * V * ΔT

Question 22

Q

First Law of Thermodynamics

Answer

A

ΔU = Q - W

Question 23

Q

Heat Gained or Lost (with temperature change)

Answer

A

q = m * c * ΔT

Question 24

Q

Heat Gained or Lost (phase change)

Answer

A

q = m * L

Question 25

Q

Entropy and Heat

Answer

A

ΔS = Q_rev / T

Question 26

Q

Second Law of Thermodynamics

Answer

A

ΔS_universe = ΔS_system + ΔS_surroundings > 0

Question 27

Q

Density

Answer

A

ρ = m / V

Question 28

Q

Weight of a Volume of Fluid

Answer

A

F_g = ρ * V * g

Question 29

Q

Specific Gravity

Answer

A

SG = ρ / (1g / cm³)

Question 30

Q

Pressure

Answer

A

P = F / A

Question 31

Q

Absolute Pressure

Answer

A

P = P₀ + (ρ * g * z)

Question 32

Q

Gauge Pressure

Answer

A

P_gauge= P - P_atm= (P₀ + (ρ * g * z)) - P_atm

Question 33

Q

Pascal’s Principle

Answer

A

P = F₁ / A₁ = F₂ / A₂

Question 34

Q

Buoyant Force

Answer

A

F_buoy = ρ_fluid * V_{fluid displaced}* g = ρ_fluid* V_submerged * g

Question 35

Q

Poiseuille’s Law

Answer

A

Q = (π * r⁴ * ΔP) / (8 * η * L)

Question 36

Q

Critical Speed

Answer

A

v_c= (N_r * η) / (ρ * D)

Question 37

Q

Continuity Equation

Answer

A

Q = v₁ * A₁ = v₂ * A₂

Question 38

Q

Bernoulli’s Equation

Answer

A

P₁ + ((1/2) * ρ * v₁²) + (ρ * g * h₁) = P₂ + ((1/2) * ρ * v₂²) + (ρ * g * h₂)

Question 39

Q

Coulomb’s Law

Answer

A

F_e = (k * q₁ * q₂) / r²

Question 40

Q

Electric Field

Answer

A

E = F_e / q = (k * Q) / r²

Question 41

Q

Electric Potential Energy

Answer

A

U = (k * Q *q) / r

Question 42

Q

Electric Potential (from electric potential energy)

Answer

A

V = U / q

Question 43

Q

Electric Potential (from source charge)

Answer

A

V = (k * Q) / r

Question 44

Q

Voltage

Answer

A

ΔV = V_b - V_a = W_ab / q

Question 45

Q

Electric Potential Near a Dipole

Answer

A

V = ((k * q * d) / r²) * cosθ

Question 46

Q

Dipole Moment

Answer

A

p = q * d

Question 47

Q

Electric Field on the Perpendicular Bisector of a Dipole

Answer

A

E = (1 / (4 * π * ε₀)) * (p / r³)

Question 48

Q

Torque on a Dipole in an Electric Field

Answer

A

τ = p * E * sinθ

Question 49

Q

Magnetic Field from a Straight Wire

Answer

A

B = (μ₀* I) / (2 * π * r)

Question 50

Q

Magnetic Field from a Loop of Wire

Answer

A

B = (μ₀ * I) / (2 * r)

Question 51

Q

Magnetic Force on a Moving Point Charge

Answer

A

F_B = q * v * B * sinθ

Question 52

Q

Magnetic Force on a Current-Carrying Wire

Answer

A

F_B = I * L * B * sinθ

Question 53

Q

Current

Answer

A

I = Q / Δt

Question 54

Q

Krichhoff’s Junction Rule

Answer

A

I_{into junction} = I_{leaving junction}

Question 55

Q

Krichhoff’s Loop Rule

Answer

A

V_source = V_drop

Question 56

Q

Definition of Resistance

Answer

A

R = (ρ * L) / A

Question 57

Q

Ohm’s Law

Answer

A

V = I * R

Question 58

Q

Voltage and Cell emf

Answer

A

V = E_cell - (i * r_int)

Question 59

Q

Definition of Power

Answer

A

P = W / t = ΔE / t

Question 60

Q

Electric Power

Answer

A

P = I * V = I²* R = V² / R

Question 61

Q

Voltage Drop Across Circuit Elements (series)

Answer

A

V_p = V₁ + V₂ + V₃ + … + V_n

Question 62

Q

Voltage Drop Across Circuit Elements (parallel)

Answer

A

V_p = V₁ = V₂ = V₃ = … = V_n

Question 63

Q

Equivalent Resistance (series)

Answer

A

R_s = R₁ + R₂ + R₃ + … + R_n

Question 64

Q

Equivalent Resistance (parallel)

Answer

A

1/R_p = (1/R₁) + (1/R₂) + (1/R₃) + … + (1/R_n)

Answer 65

A

C = Q / V

Answer 66

A

C = ε₀ * (A / d)

Answer 67

A

E = V / d

Answer 68

A

U = (1 / 2) * C * V₂

Answer 69

A

C’ = κ * C

Answer 70

A

1/C_s = (1/C₁) + (1/C₂) + (1/C₃) + … + (1/C_n)

Answer 71

A

C_p = C₁ + C₂ + C₃ + … + C_n

Answer 72

A

v = f * λ

Answer 73

A

T = 1 / f

Answer 74

A

ω = 2 * π * f = (2 * π) / T

Answer 75

A

v = sqrt(B / ρ)

Answer 76

A

f’ = f * ((v +/- v_D) / (v -/+ v_S))

Answer 77

A

I = P / A

Answer 78

A

β = 10 * log(I / I₀)

Answer 79

A

β_f = β_i + 10 * log(I_f / I_i)

Answer 80

A

f_beat = |f₁ - f₂|

Answer 81

A

λ = (2 * L) / n

Answer 82

A

f = (n * v) / (2 * L)

Answer 83

A

λ = (4 * L) / n

Answer 84

A

f = (n * v) / (4 * L)

Answer 85

A

c = f * λ, where c = 3.00 x 10^8 in

Answer 86

A

θ₁ = θ₂

Answer 87

A

(1 / f) = (1 / o) + (1 / i) = (2 / r)

Answer 88

A

m = (-i / o)

Answer 89

A

n = (c / v)

Answer 90

A

n₁ * sinθ₁ = n₂ * sinθ₂

Answer 91

A

θ_c= sin^-1(n₂ / n₁)

Answer 92

A

(1 / f) = (n - 1) * ((1 / r₁) - (1 / r₂))

Answer 93

A

P = (1 / f)

Answer 94

A

(1 / f) = (1 / f₁) + (1 / f₂) + (1 / f₃) + … + (1 / f_n)

Answer 95

A

P = P₁ + P₂ + P₃ + … + P_n

Answer 96

A

m = m₁ * m₂ * m₃ * … * m_n

Answer 97

A

a * sinθ = n * λ

Answer 98

A

d * sinθ = (n + (1 / 2)) * λ

Answer 99

A

E = h * f, where h = 6.6 x 10^-34 J / s

Answer 100

A

K_max = (h * f) - W

Answer 101

A

W = h * f_T

Answer 102

A

E = m * c²

Answer 103

A

Δn / Δt = -λ * n

Answer 104

A

n = n₀ * e^{(-λ * t)}

Answer 105

A

λ = (ln2 / T_1/2) = (0.693 / T_1/2)

Answer 106

A

v = (v_max * [S]) / (K_m + [S])

Answer 107

A

v_max = [E] * k_cat

Answer 108

A

GEW = Molar mass / n

Answer 109

A

Equivalents = Mass of Compound / Gram Equivalent Weight

Answer 110

A

rate = k[A]^x * [B]^y

Answer 111

A

k = A * e^{-E_a / (R * T)}

Answer 112

A

ΔG = ΔH - (T * ΔS)

Answer 113

A

ΔG^°_rxn = -R * T * lnK_eq

Answer 114

A

ΔG_rxn = ΔG^°_rxn + (R * T * lnQ) = R * T * ln(Q / K_eq)

Answer 115

A

P * V = n * R * T

Answer 116

A

[A] = k_H * P_A or [A]₁ / P₁ = [A]₂ / P₂ = k_H

Answer 117

A

Π = i * M * R * T

Answer 118

A

ΔT_f = i * K_f * m

Answer 119

A

ΔT_b = i * K_b * m

Answer 120

A

pH = pK_a + log([A^-] / [HA])

Answer 121

A

pOH = pK_b + log([B⁺] / [BOH])

Answer 122

A

-log(n * 10^-m) = m - log(n)
p value = m - 0.n

Answer 123

A

E_cell = E^°_cell - (R * T) / (n * f) * lnQ = E^°_cell - (0.0592) / (n * f) * lnQ

Answer 124

A

E = (R * T) / (z * F) * ln([ion]_outside / [ion]_inside) = (61.5 / z) * log([ion]_outside / [ion]_inside)

Answer 125

A

BMI = mass / height²

Answer 126

A

V_m = 61.5 * log((P_Na+ * [Na+]_outside + P_K+ * [K+]_outside + P_Cl- * [Cl-]_inside) / (P_Na+ * [Na+]_inside + P_K+ * [K+]_inside + P_Cl- * [Cl-]_outside))