Equations Flashcards

1
Q

Average Orbital Speed

A

Avg Orbital Speed = 2 x pi x radius of orbit / orbital period

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2
Q

Age of Universe

A

Distance / speed
1/Hubble Constant
14.4 billion years

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3
Q

Hubble Constant

A

Hubble constant = speed of galaxy/distance of galaxy from earth

H0= v/d

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4
Q

Alpha decay

A

Number of protons and neutrons decrease
238/92U=234/90Th + 4/2a

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5
Q

Beta Decay

A

Number of protons increase by 1
14/6C=14/7N + 0/-1B

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6
Q

Nuclear Fission

A

Splitting large ,unstable nucleus
235/92U + 1/0n = 91/36Kr + 143/56Ba + 2 1/0n + 0/0y

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7
Q

Nuclear Fusion

A

Joining of small nuclei
2/1H + 1/1H = 3/2He + 0/0Y

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8
Q

Gamma decay

A

No change
A/ZN = A/ZN + 0/0Y

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9
Q

Power Loss from Wire

A

Power loss = Current ^2 x resistance
P=I^2R

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10
Q

Transmitting Electricity

A

IpVp=IsVs
Primary current x Primary voltage = Secondary Current x Secondary Voltage
IpVp= power input at primary coil
IsVs=power output at secondary coil

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11
Q

Transformer Equation

A

Vp/Vs = Np/Ns
Input(primary)voltage/output(secondary)voltage = number of turns on primary coil/number of turns on secondary coil

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12
Q

Equation that links two resistances with the potential difference across them

A

R1/R2 = V1/V2

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13
Q

Potential difference in parallel circuits

A

Vsource = V1 = V2

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14
Q

Current in parallel circuit

A

Isource = I1 + I2 + …

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15
Q

Combined Resistance of parallel

A

1/Rtotal = 1/R1 + 1/R2

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16
Q

Potential difference in series

A

Vsource= V1 + V2 + …

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17
Q

EMF

A

EMF sources add up eg 1.5V + 1.5= 3V

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18
Q

Resistance in Series

A

Rtotal= 2+3 = 5 Ohms

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19
Q

Current in Series

A

I1 = I2
Current same everywhere

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20
Q

Energy transferred in electricity

A

Electricity transferred (kWh) = Power(kW) x Time(h)

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21
Q

Cost of energy

A

Cost (p) = E x Price
Cost(p) = Energy Transferred(kWh) x Price per kWh(p per kWh)

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22
Q

Electrical Power

A

Electrical Power (W) = Current(A) x Potential Difference(V)
P=IV

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23
Q

Energy Transferred

A

Energy transferred = Current x Potential Difference x Time
E=IVt

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24
Q

Resistance

A

Resistance (Ohms) = Potential Difference(V)/Current(A)
R = V/I

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25
Q

Current,Charge,Time

A

Current(A)=Charge(C)/Time(s)
I=Q/T

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26
Q

Work Done,PD,Charge

A

Potential Difference(V) = Work Done(J)/Charge(C)
V=W/Q

27
Q

EMF,work done,charge

A

EMF(V)=Work done(J)/ Charge(C)
E=W/Q

28
Q

1 Hz =?

A

1 wave per second

29
Q

Refractive Index and law of reflection

A

n = sini/sinr

30
Q

Critical Angle

A

n = 1/sinc

31
Q

Law of Reflection

A

Sini=Sinr

32
Q

Critical Angle,light in material,light in vacuum

A

Refractive Index = Speed in vacuum / Speed in material

33
Q

Ultrasound

A

> 20kHz

34
Q

Wave speed,wavelength ,frequency

A

Wave speed (m/s) = frequency(Hz) x wavelength (m)
V = F x h

35
Q

Specific Heat Capacity

A

Change in energy = specific heat capacity(J/kg°C) x mass(kg) x temperature change
E=MC x Change in T

36
Q

Specific Latent Heat

A

E=ML
Energy Transfer = Mass x Latent Heat(J/kg)

37
Q

Constant Temp,Decreasing volume,increase pressure

A

PV = Constant

38
Q

Pressure,Temperature

A

P1/T1 = P2/T2
Pressure1/Temp 1 =Pressure2/Temp2

39
Q

Boyle’s Law

A

Pressure1 x Volume1 = Pressure2 x Volume 2
P1V1=P2V2

40
Q

Liquid Density

A

Change in Pressure (Pa) = density of liquid(kg/m^3) x gravity(N/kg) x Change in depth(m)
Change P = d x g x change h

41
Q

Pressure

A

Pressure(Pa)= Force(N)/ Area(m^2)
P= F/A

42
Q

Efficiency

A

Efficiency = Useful energy output / total energy input x 100

43
Q

Efficiency pt2

A

Efficiency = Useful power output/total power input x 100

44
Q

Work Done,energy transfer,time

A

Power = Work Done / Time
P=W/T

45
Q

Power,energy transferred,time

A

Power = Energy Transferred/Time
P=E/T

46
Q

1 Watt

A

Equals 1J

47
Q

Mechanical Work Done

A

Mechanical Work Done = Force x Distance moved = Energy transferred mechanically
W=Fd=Change in energy
W=Fd

48
Q

Work Done

A

Equal to energy transferred

49
Q

Kinetic Energy Store

A

Kinetic Energy = 1/2 Mass(kg) x speed^2(m/s^2)
Ek=1/2mv^2

50
Q

Change in Gravitational potential energy

A

Change in Gravitational Energy = Mass(kg) x Gravity(N/Kg) x change in height
E=mgh

51
Q

Falling objects

A

Energy lost from gpe store = energy gained in the kinetic energy store

52
Q

Impulse

A

Impulse (Ns) = Force(N) x time (s) = Change in momentum (kg m/s)
Ft = change in (mv)

53
Q

Change in momentum

A

Force = Change in mass x velocity / change in time
F=mv/t

54
Q

Change in momentum

A

F=P/T
Force = Change in Momentum / Change in time
Ft=change in (mv)

55
Q

Momentum

A

P=MV
Momentum = Mass x Velocity

56
Q

Moments

A

Moment(Nm) = force(N) x perpendicular distance (m) from the pivot
M=Fd

57
Q

Hooke’s Law

A

Spring constant(N/cm) = Force/Load(N) / extension(cm)
K = F/X

58
Q

Equilibrium

A

Anti-clockwise moment = clockwise moment for equilibrium

59
Q

Acceleration

A

F = ma
Force = Mass x Acceleration (m/s^2)

60
Q

Density

A

Density = Mass / volume
D = M/ V
1g/cm^3 = 1000kg/m^3

61
Q

Mass,Weight,Gravitational Field Strength

A

Gravitational Field Strength(N/kg) = weight(N) / mass(kg)
W=mg
g=W/m

62
Q

Acceleration

A

Acceleration = change in velocity/change in time
Acceleration is the change in velocity over time

63
Q

Speed

A

Average speed = total distance / total time taken