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PAT > Formulae > Flashcards

Formulae Flashcards

1
Q

What are the rules for current, voltage and resistance in series and parallel circuits?

A
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2
Q

What is the equation for centripetal force in terms of linear velocity?

A

F = mv2/r

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3
Q

What does the graph of acceleration of an object in SHM look like?

A

In antiphase with displacement (π phase difference)

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4
Q

What is the equation of the force exerted on a mass due to another mass?

A

F = -GMm/r2

  • M is the mass of the point mass exerting the force
  • m is the mass of the point mass the force is being exerted upon
  • G is the gravitational constant (6.67x10-11 Nm2kg-2 )
  • r is the distance between the two centres of the point masses
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5
Q

What is the equation for Power in terms of voltage and resistance?

A

P = V2/R

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6
Q

What is the equation for energy in terms of charge and voltage?

A

E = QV

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7
Q

What is the equation for Power in terms of energy and time?

A

P = E/t

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8
Q

What is the equation for centripetal acceleration in terms of angular velocity?

A

a = ω2r

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9
Q

What is the equation for the energy of a photon?

(Photoelectric Effect)

A

E = hf = hc/λ

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10
Q

What is the equation for centripetal force in terms of angular velocity?

A

F = mω2r

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11
Q

How do you break down a weight of a object on a slope into components?

A
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12
Q

What does the graph of velocity of an object in SHM look like?

A

π/2 out of phase with displacement

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13
Q

What is the equation for the time period of an oscillating spring in SHM?

A

T = 2π√m/k

  • T is time period
  • m is mass
  • k is spring/stiffness constant
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14
Q

What is the equation relating turns of wire of a transformer and voltage?

A

Vs/Vp = Ns/Np

  • Vs is the voltage at the secondary coil
  • Vp is the voltage at the primary coil
  • Ns is the number of turns at the secondary coil
  • Np is the number of turns at the primary coil
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15
Q

What is the equation describing the photoelectric effect?

A

hf = work function + KEmax

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16
Q

What is the equation for Resistivity of a wire?

A

p = R x A/L

Resistivity = Resistance x area/length

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17
Q

What is the equation for resistance in terms of voltage and current?

A

R = V/I

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18
Q

What is the equation for acceleration of an object in SHM?

A

a = -ω2x

where x is displacement

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19
Q

What is the equation for wavespeed in terms of frequency and wavelength?

A

v = fλ

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20
Q

What is the equation for a potential divider?

A

VOut = VIn x R1/R1+R2

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21
Q

What is the equation for the maximum acceleration of an object in SHM?

A

amax = ω2A

where A is maximum displacement

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22
Q

How are frequency and time period related?

A

f = 1/T

23
Q

What is Snell’s law?

A

n1sinϴ1 = n2sinϴ2

24
Q

What is the equation for the veloicty of a body in a circular orbit of a body?

A

v = √GM/r

  • m is the mass of the object being orbited
  • r is the distance from the centre of the body being orbited to the satellite
25
Q

What is the equation for wavespeed in terms of distance and time?

A

wavespeed = distance/time

26
Q

What is the equation relating linear velocity and angular velocity?

A

v = rω

27
Q

What is the equation for current in terms of charge and time?

A

I = Q/t

28
Q

What is the equation relating distance and power?

A

Power = 1/distance2

implying: Power1 x (Distance1)2= Power2 x (Distance2)2

29
Q

What is the equation for the time period of a pendulum oscillating in SHM?

A

T = 2π√L/g

  • T is time period
  • L is length of pendulum
  • g is gravitational field strength
30
Q

What is the equation for electron drift velocity?

A

I =nAve

  • n is the number of electrons per unit volume
  • A is the area of the wire
  • v is the mean drift velocty
  • e is the charge of an electron
31
Q

What is the equation for gravitational field strength?

A

g = F/m

32
Q

What is the equation for a materials refractive index in terms of speed of light and velocity of light in the material?

A

n = c/v

where n is the refractive index

33
Q

What is the equation for angular velocity in terms of time period?

A

ω = 2π/T

34
Q

What is the equation for the critical angle?

A

SinC = 1/n

35
Q

What is the equation for the max velocity of an object in SHM?

hint: when velocity is max, x = 0

A

vmax = ωA

36
Q

What is the equation for Power in terms of current and voltage?

A

P = IV

37
Q

What is the equation relating the currents and voltages at the primary and secondary coils of a transformer?

HInt: P = IV

A

IpVp = IsVs

38
Q

What is the equation for the speed of an electron accelerated through a potential difference?

A

eV = 1/2mv2

39
Q

What is the conservation of energy?

A

mgh = ½mv2

gravational energy lost/gained = kinetic energy gained/lost

40
Q

What are the equations for internal resistance?

A

Emf = V + Ir

Emf = I(R + r)

where r is internal resistance

41
Q

What is the eqaution for centripetal acceleration in terms of linear velocity?

A

a = v2/r

42
Q

What is the equation for the displacement of an object in SHM when timing began at the midpoint?

A

x = Asin(ωt)

where A is maximum displacement

43
Q

What is the equation for the gravitational field strength in a radial field?

A

g = -GM/r2

  • G is gravitational constant (6.67 x10-11 Nm2kg-2 )
  • M is the mass of the body causing the radial field
  • r is the radius of the body
44
Q

What does the graph of displacement of an object in SHM look like?

A

Cosine graph

45
Q

What is the equation for angular velocity in terms of frequency?

A

ω = 2πf

46
Q

What is the formula for intergration by parts?

A

∫ v ⋅ du/dx = uv - ∫ dv/dx ⋅ u

where v and du/dx are the two parts of the integral

47
Q

What is the equation to work out the coeffiecient of restitution?

Hint: helps with momentum problems

A

e = speed of separation/speed of approach

e = (vb-va)/(ua-ub)

where e is the constant of restitution ranging between 1 (perfectly elastic collision) and 0 (perfectly inelastic collision)

48
Q

What is Kepler’s third law?

A

T2∝r3

49
Q

What equation related the time period of an orbit to its radius?

A

T2 = (4π2/GM)r3

50
Q

What is the equation for the velocity of an object in SHM?

A

v = ±ω√A2-x2

where A is maximum displacement

51
Q

What is the eqaution defining angular motion?

A

ω = ϴ/t

52
Q

What is the equation for the displacement of an object in SHM when timing began at the maximum?

A

x = Acos(ωt)

where A is max displacement

53
Q
A
54
Q

What is the equation for Power in terms of current and resistance?

A

P = I2R

PAT (1 decks)

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