Equations Flashcards

Question 1

Q

Linear Motion Equations (5)

Answer

A

v = v₀ + at

x = v₀t + ½at²

v² = v₀² + 2ax

v_avg= (v + v₀)/2

x = (v_avg)t

Question 2

Q

Static Friction

Answer

A

0 < f_s < μ_sF_N

Question 3

Q

Kinetic Friction

Answer

A

f_k= µ_kF_N

Question 4

Q

SI Unit: Newton

Answer

A

(kg • m) / s²

Question 5

Q

SI Unit: Joule

Question 6

Q

Work

Answer

A

W = Fd cos θ

Question 7

Q

Power

Answer

A

P = W / Δt

Question 8

Q

Kinetic Energy

Answer

A

K = ½mv²

Question 9

Q

SI Unit: Watt

Question 10

Q

Newton’s Third Law

Answer

A

F_b = -F_a

Question 11

Q

Newton’s Law of Gravitation

Answer

A

F = (Gm₁m₂)/ r²

Question 12

Q

Centripetal Acceleration

Answer

A

a_c = v² / r

Question 13

Q

Centripetal Force

Answer

A

F_c = (mv²) / r

Question 14

Q

Total Mechanical Energy

Answer

A

E = U + K

Question 15

Q

Work - Energy Theorem

Question 16

Q

Conservation of Energy

Answer

A

ΔE = ΔU + ΔK = 0

Question 17

Q

Thermal Expansion

Answer

A

ΔL = αLΔT

Question 18

Q

Volume Expansion

Answer

A

ΔV = βVΔT

if not given, estimate β = 3α

Question 19

Q

Heat Gained or Lost by an object (q)

Answer

A

q = mcΔT

provided no phase change

Question 20

Q

Specific Heat (c)

Answer

A

c = q / mΔT

SI Units: cal / g•K

Question 21

Q

Heat of Transformation

Answer

A

Q = mL

provided with phase change

Question 22

Q

Adiabatic Process

Answer

A

Q = 0

ΔU = -W

Question 23

Q

Constant Volume

Answer

A

W = 0

ΔU = Q

Question 24

Q

Isothermal

Answer

A

ΔU = 0

Q = W

Question 25

Q

Density

Answer

A

ρ = m / V

Question 26

Q

SI Unit: Pascal

Question 27

Q

Pressure

Answer

A

P = F / A

Question 28

Q

Weight

Question 29

Q

Specific Gravity

Answer

A

ρ_substance / ρ_water

_{<span>ρ</span>water} = 10³kg/m³or 1 g/cm³

Question 30

Q

Pressure (of fluid with uniform density in a sealed vessel)

Question 31

Q

Absolute Pressure

Answer

A

P = P₀ + ρgz

Question 32

Q

Gauge Pressure

Answer

A

P_g = P - P_atm

Question 33

Q

Continuity Equation

Answer

A

A₁v₁ = A₂v₂

Question 34

Q

Dynamic Pressure of a Fluid

Question 35

Q

Static Pressure of a Fluid

Answer

A

P₁ + ρgh₁

Question 36

Q

Bernoulli’s Equation

Answer

A

½pv²₁ + P₁ + ρgh₁ = ½pv²₂ + P₂ + ρgh₂

Question 37

Q

Buoyant Force

Answer

A

F_b = ρ_fluidgV_submerged= ρ_fluidgV_{fluid displaced}

Question 38

Q

Pascal’s Principle Equations

Answer

A

P = F₁/ A₁ = F₂ / A₂

A₁d₁ = A₂d₂

W = F₁d₁ = F₂d₂

Question 39

Q

Coulomb’s Law

Answer

A

F = kq1q2/ r2

SI Unit: Newtons

Question 40

Q

Electric Field

Answer

A

E = F_e / q = kQ / r²

Question 41

Q

SI Units: Electric Field

Answer

A

N / C or V / m

Question 42

Q

Electric Potential Energy

Answer

A

U = qΔV = qEd = kQq / r

Question 43

Q

Electric Potential

Answer

A

V = U / q

Question 44

Q

Potential Difference (Voltage)

Answer

A

Voltage = W / q = kQ / r

Question 45

Q

SI Unit: Volt

Question 46

Q

Current

Answer

A

I = Q / Δt

Question 47

Q

SI Units: Ampere

Question 48

Q

Ohm’s Law

Question 49

Q

Resistance

Answer

A

R = ρL / A

in Ω (ohms)

Question 50

Q

Series Circuits Equations

Answer

A

R_eq = R₁ + R₂ + R₃ + …

V_T = V₁ + V₂ + V₃ + …

I_T= I₁ = I₂= I₃

Question 51

Q

Parallel Circuits

Answer

A

1/R_eq = 1/R₁ + 1/R₂+ 1/R₃ + …

V_T= V₁ = V₂ = V₃ = …

I_T= I₁ + I₂ + I₃ + …

Question 52

Q

Power Dissipated by Resistors

Answer

A

P = IV = V²/ R = I²R

Question 53

Q

Capacitance

Answer

A

C = Q / V

Question 54

Q

Capacitors in Parallel

Answer

A

C_eq = C₁ + C₂ + C₃+ …

Question 55

Q

Energy Stores by Capacitors

Answer

A

U = ½QV = ½CV² = ½Q²/ C

Question 56

Q

Capacitors in Series

Answer

A

1/C_eq = 1/C₁ + 1/C₂ + 1/C₃ + …

Question 57

Q

Wave Formulas

Answer

A

f = 1/T

v = fλ

Question 58

Q

Angular Frequency

Answer

A

ω = 2πf = 2π / T

Question 59

Q

String Wave Formulas

Answer

A

λ = 2L / n

(n = nodes = 1, 2, 3…)

f = nv / 2L

(n = nodes = 1, 2, 3…)

Question 60

Q

Open Pipe Formulas

Answer

A

λ = 2L / n

(n = nodes = 1, 2, 3…)

f= nv / 2L

(n = nodes = 1, 2, 3…)

Question 61

Q

Closed Pipes Formulas

Answer

A

λ = 4L / n

(n = nodes = 1, 3, 5…)

f = nv / 4L

(n = nodes = 1, 3, 5…)

End of a closed pipe is always a node

Question 62

Q

Intensity of Sound

Answer

A

I = P / A

Question 63

Q

SI Units: Intensity

Question 64

Q

Sound Level

Answer

A

β = 10 log (I/I₀)

in decibel = dB

Answer 54

A

Increase of 10 dB is an increase in intensity by a factor of 10 –

an increase of 20 dB is an increase in intensity by a factor of 100

Answer 55

A

f’ = f (v +- v_D) / (v +- v_S)

Stationary source: v_S= 0

Stationary detective: v_D = 0

Answer 56

A

+ sign in the numerator

sign in denominator

Answer 57

A

sign in numerator

+ sign in denominator

Answer 58

A

n = c / v

speed of light = 3 x 10⁸ m/s

Answer 59

A

n₁sinθ = n₂sinθ

when n₂> n₁ light bends towards the normal

when n₂< n₁ light bends away from the normal

Answer 60

A

αsinθ = nλ

(n = 1, 2, 3…)

Answer 61

A

1/f = 1/o + 1/i

Answer 62

A

m = -i / o

|m| < 1 - image reduced

|m| > 1 - image enlarged

|m| = 1 - image same size

inverted image has a negative m; erect image has a positve m

Answer 63

A

E = hf = hc / λ

K = hf - W

Answer 64

A

n = n₀e^-λt

Answer 65

A

F_g,parallel= mgsinθ

F_{g, perpendicular} = mgcosθ

Answer 66

A

τ = r x F = rFsinθ

Answer 67

A

A • B = |A| • |B| cosθ

Answer 68

A

A x B = |A| • |B| sinθ

Answer 69

A

Virtual Upright

Answer 70

A

Enlarged and Virtual behind the mirror

Answer 71

A

Real and Inverted
Virtual, Upright and Enlarged
No image formed

Answer 72

A

Start by pointing thumb in the direction of vector A
Extend your fingers in the direction of vector B
Your palm will then point in the direction of the resultant C

Answer 73

A

U = ½kx²

Answer 74

A

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

Answer 75

A

Ratio of magnitudes of the force exerted on an object by a simple machine (F_out) to the force actually applied on the simple machine (F_in)

F_out/ F_in

Answer 76

A

F = 9/5C + 32

K = C + 273

Answer 77

A

N / A•m

Answer 78

A

v_c = N_Rη / ρD

N_Ris a dimensionless constant that will be given, η is the viscocity of the fluid, ρ is the density of the fluid, and D is the diameter of the pipe/tube

Answer 79

A

Q = πr⁴ΔP / 8ηL

Q is the flow rate, r is the radius of the tube, ΔP is the pressure gradient, η is the viscocity of the fluid and L is the length of the pipe

Answer 80

A

B = μ₀I / 2πr

Answer 81

A

B = μ₀I / 2r

Answer 82

A

F_B = qvBsinθ

Answer 83

A

F_B = ILBsinθ

Answer 84

A

V = E_cell - ir_int

where r_int is internal resistance

Answer 85

A

C’ = κC

Answer 86

A

At any point or junction in a circuit, the sum of currents directed into that point equals the sum of currents directed away from that point

I_{into junction}= I_{leaving junction}

Answer 87

A

Around any closed circuit loop, the sum of voltage sources will always be equal to the sum of voltage drops (potential drops)

V_source= V_drop

Answer 88

A

β_f = β_i + 10log I_f/I_i

Answer 89

A

1/f = 1/f₁ + 1/f₂ + 1/f₃ + …

Answer 90

A

m = m₁x m₂ x m₃…

Answer 91

A

Opposite of beta-negative decay- lies in reactants

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Equations Flashcards

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