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Physics Revision > PAT Equations > Flashcards

PAT Equations Flashcards

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1
Q

Volume of a sphere

A

4/3 πr^3

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2
Q

Plank’s Constant

A

6.63*10^-34

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3
Q

Free space permittivity

A

8.85*10^-12

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4
Q

electron rest mass

A

9.11*10^-31

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5
Q

sphere surface area

A

4πr^2

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6
Q

Equation linking momentum, force, time

A 
F = p/t
Force = momentum/time
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7
Q

Equation linking velocity, power, force

A

P = Fv

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8
Q

Equations for energy stored by a spring (E)

A

E = 1/2 K x^2

or E = 1/2Fx

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9
Q

Equation for stress

A

σ = F/A

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10
Q

Equation for strain

A

ε = x/L

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11
Q

Equation for young’s modulus

A

E = σ/ε

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12
Q

Electricity equations for work done?

A 
W = VQ (Work Done = p.d. * charge)
W = VIt (because Q = It)
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13
Q

Equation linking current, time, electric charge

A 
Q = It
Charge = Current * time
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14
Q

The resistivity-resistance equation

A

R = pL/A

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15
Q

Internal resistance equation

A

E = IR + Ir (V + v)

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16
Q

WAVE SPEEEEED

A

v = f λ

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17
Q

Total internal refraction equation

A

sin(C)=n2/n1 (n2

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18
Q

Snell’s law equation

A

n1sinθ1=n2sinθ2

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19
Q

Equation for the refractive index

A

n = c/v

refractive index = speed of light in vacuum/speed of light in material

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20
Q

Plank’s wavelength equation

A

λ = h/p

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21
Q

Quantum energy equations

A 
E = hf
E = hc/λ
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22
Q

Work function equation

A

hf = φ + KEmax

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23
Q

Centripetal force equation

A 
F = mv^2/r
F = mrω^2
F = mvω
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24
Q

Centripetal acceleration equations

A 
a = v^2/r
a = rω^2
a = vω
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25
Q

Velocity of a centripetal particle thing

A

v = rω

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26
Q

angular velocity equation

A 
ω = 2Pi/T
ω = 2fPi
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27
Q

Gravitational potential (Vg)

A

Vg = -GM/r

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28
Q

Units for gravitational potential

A

J per Kg

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29
Q

Electric field strength

A

E = F/Q

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30
Q

gravitational field strength

A

g = -GM/r^2

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31
Q

Force due to gravity

A

F = -GMm/r^2

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32
Q

Energy due to gravity

A

E = -GMm/r (from Vg which is J per Kg (hence * small m))

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33
Q

Equation relating voltage, charge and capacitance

A

C = Q/V Capacitance = charge/p.d.

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34
Q

Capacitance from a radius

A

C = 4πε0r

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35
Q

Equation for electric potential (in volts V)

A

V = Q/4πε0r

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36
Q

Equation for energy due to the electric field between charges

A

E = Qq/4πε0r

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37
Q

Equations for electric filed strength

A 
E = V/d
E = Q/4πε0r^2
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38
Q

Equation for force acting between two point charges

A

F = Qq/4πε0r^2

39
Q

integral of 1/x

A

ln(mod(x))+c

40
Q

differential of ln(kx)

A

1/x (no matter what k is the result is 1/x)

41
Q

differential of a^kx

A

a^kx * kln(a)

42
Q

differential of cosec(kx)

A

-k*cosec(kx)cot(k)

43
Q

differential of sec(kx)

A

k*sec(kx)tan(kx)

44
Q

differential of cot(kx)

A

-k*cosec^2(kx)

45
Q

integral of e^x

A

e^x + c

46
Q

cos(2A) =

A

cos^2(A) - sin^2(A)

47
Q

sin(2A) =

A

2sin(A)cos(A)

48
Q

ln(1) =

A

0

49
Q

ln(0) =

A

can’t be done

50
Q

equation for force from momentum

A

F = dp/dt

51
Q

kepler’s law equation

A

T^2 = (4π^2/GM)*r^3

52
Q

nCr equation

A

n!/r!(n-r)!

53
Q

value of the ‘deci’ (d) prefix

A

10^-1

54
Q

value of the micro (μ) prefix

A

10^-6

55
Q

value of the nano (n) prefix

A

10^-9

56
Q

value of the pico (p) prefix

A

10^-12

57
Q

Critical angle equation

A

sin(C) = 1/n

58
Q

Alpha particle consists of…

A

2 neutrons 2 protons

59
Q

equation for arc length

A

rθ

60
Q

area of a sector (when θ is in radians)

A

1/2 * r^2 * θ

61
Q

pressure equations

A 
p = F/A
p = hρg
62
Q

Current in a wire equation

A

I = Anqv

63
Q

Equation for voltage out from a potential divider

A

Vout = Vin * R2/(R1+R2)

64
Q

potential divider ratio

A

V1/V2 = R1/R2

65
Q

Equation linking capacitance, cross-sectional area and distance

A

C = εA/d

66
Q

cos(90-x) =

A

sin(x)

67
Q

Acceleration of an object oscillating under simple harmonic motion

A 
a = -ω^2*x
a(max) = -ω^2*A
68
Q

Velocity of an object oscillating under simple harmonic motion

A 
v = +-ω* sqrt(A^2 - x^2)
v(max) = ωA
69
Q

Displacement of an object oscillating under simple harmonic motion

A 
x = Acos(ωt), If the time is measured from when the displacement was at a MAXIMUM
x = Asin(ωt), If the time is measured from when the displacement was at the MIDPOINT
70
Q

Equations for angular frequency

A 
ω = 2πf
ω = 2π/T
71
Q

Equation for intensity

A

I = P/A

72
Q

Equation for double-slit experiment

A

λ = ax/D

73
Q

log(1/x) =

A

-log(x) - works for any base

74
Q

log_a_(b) =

A

(log_c_(b))/(log_c_(a))

75
Q

What is the equation for newton’s experimental law?

A

v2-v1 = -e(u2-u1)

76
Q

Implulse equations

A

I = F*t

I =mv - mu

77
Q

Sn for an algebraic sequence

A

Sn = n/2 * (2a + (n-1)d)
or
Sn = n/2 * (a+L)

78
Q

Sn for a geometric sequence

A

Sn = a(1-r^n)/(r-1)

79
Q

Sum to infinity for a geometric sequence

A

S∞ = a/(1-r)

80
Q

formula for nth term of an arithmetic sequence?

A

un = a + (n-1)d

81
Q

small angle approximation for:
tanθ
cosθ
sinθ

A 
tanθ = θ
cosθ = 1 - θ^2/2
sinθ = θ
82
Q

units for electric potential

A

Volts - V

83
Q

What is kepler’s first law?

A

The orbit of a planet is an ellipse with the sun at one of two foci

84
Q

What is Kepler’s second law?

A

A line segment joining a planet and sun sweeps out equal areas during equal intervals of time

85
Q

What is Kepler’s third law?

A

It’s the one about t2 = r3 something not sure how it goes

86
Q

Units of resistivity

A

The Ohm-metre!

87
Q

Equation for charge/current/pd of a discharging capacitor

A

x = x0 * e^(-t/RC) for all

88
Q

Equation for charge/current/PD of a charging capacitor

A 
x = x0 * (1-e^(-t/RC) for V and Q
x = x0 * e^(-t/RC) for I (Current)!!!
89
Q

What is the time taken for a capacitor to charge dully?

A

5RC

90
Q

Up quark charge

A

+2/3 e

91
Q

Down quark charge

A

-1/3 e

92
Q

Strange quark charge

A

-1/3 e

93
Q

Power, p.d, current

A 
P = VI
P = I^2 R
P = V^2 / R

V = IR

94
Q

Magnetic field equatuons

A 
F = BILsin(theta)
F = BQv

Physics Revision (36 decks)

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