Equations Flashcards
Kinematics Equations.
v=u+at
s=ut+1/2at^2
v^2 =u^2 +2as
Dynamics Equations.
p=mv
W=mg
F=ma
Δp=F x Δt
m1u1+m2u2=m1v1+m2v2
u1-u2=v2-v1
Average force= (final momentum-initial momentum)/time
Forces Equations.
P=F/A
Pressure of static fluid= pgh
F=kx
EPE of a spring=1/2 k x^2
Moment of a force= F x d
Work, Energy, Power Equations.
F=F x s(cosθ)
KE=1⁄2 mv^2
GPE=mgh
KEinitial+PEinitial+Esupplied=KEfinal+PEfinal+Elost
P=Fv
Efficiency=(useful energy input/energy input) x 100%
Circular Motion Equations.
T=2𝜋/ω
f=ω/2𝜋
F=mać=mv^2/r=mrω^2
Gravitational Field Equations.
F=GMm/r^2
g=GM/r^2
U=-GMm/r
ɸ=-GM/r
F=-dU/dr
g=-dɸ/dr
T^2 ∝ r^3
Oscillation Equations.
vò=xòω
aò=xòω^2
v=±ω√(xò^2-x^2)
a=-ω^2 x
Waves Equations.
v=fλ
ɸ/2π=Δd/λ
ɸ/2π=Δt/T
I = P/A (area)
E∝A^2 (amplitude)
I∝A^2
I=Iò cos^2(θ)
Superposition Equations.
Path difference (Constructive interference)=nλ
Path difference (Destructive interference)=(n+1⁄2)λ
λ=ax/D
d sinθ=nλ
sinθ=λ/b
Temperature And Ideal Gas Equations.
θ=(Xθ- X0) /(X100- X0) x 100%
T/°C=T/K-273.15
pV=nRT
pV=NkT
1⁄2 m^2 =3/2 kT
U(KE of ideal gas)=3/2NkT=3/2nRT=3/2pV
First Law of Thermodynamics Equations.
Q=mcΔθ
L=Q/m (latent heat of fusion and vaporisation)
ΔU=Qin+Won
Electric field Equations.
F=(1/4πε)(Qq/r^2)
E=(1/4πε)(Q/r^2 )
E=F/q
UE=Qq/4πεr
V=Q/4πεr
E=-dV/dr
E=ΔV/d
FE=qE
Current of Electricity Equations.
Q=It
I=dQ/dt
I=nAqv
R=V/I
P=W/t=IV=I^2 R=V^2 /R
E=Ir+IR
D.C. Circuit Equations.
Reff=R1+R2
Reff=1/R1+1/R2
Vout= R1/ R1+ R2 x Vin
Electromagnetism Equations.
B=μoI/2𝜋d
B=μoNI/2r
B=μoNI
F=BILsinθ
F=Bqvsinθ
Electromagnetic Induction Equation.
ɸ=BAcosθ
Φ=Nɸ=NBAcosθ
ε=-dΦ/dt=-d(Nɸ)/dt=-d(NBAcosθ)/dt
ε=Blv
Alternating Current Equations.
Irms=Io/2 (square root 2)
Vrms=Vo/2 (square root 2)
Pave=(Irms)^2R=(Vrms)^2/R
Vs/Vp=Ip/Is=Ns/Np
VpIp= VsIs+ power loss
Quantum Physics Equations.
E=hf=hc/λ
E=ɸ+1⁄2 mvmax2
ɸ=hfò
1⁄2 mvmax2 =eVs
Intensity=n(hf)/time x area
λdb=h/mv
ΔxΔp≥h
ΔEΔt≥h
Nuclear Physics Equations.
Mass defect=total mass of constituent protons and neutrons-mass of nucleus Mass defect=total mass of constituent protons and neutrons and electrons-mass of atom
E=mc2
Binding energy per nucleon=B.E./A
Energy released=(total BE of products-total BE of reactants)
x=xòe^-λt where x can be N, A or C
t1/2=ln2/λ (t half life)
x/xò=(1⁄2)n