Tuesday, August 7, 2012

Rosa's Summary of Class Formulae

for uniform motion (a=0):
  • v=v0 and
  • Δs=v0×Δt
for uniformly accelerated motion (a=constant0):
  • v=v0+aΔt,
  • Δs=v0×Δt+12a×Δt2 and
  • v2=v20+2×a×Δs
for the gravitational force (weight - always in the vertical down direction):
  • P=m×g
for the elastic force (always opposite elastic displacement):
  • Felas=kΔx, k is the elastic constant
for the electric force (attractive for opposite sign charges and repulsive for equal sign charges):
  • Fe=keq1q2r2, ke is the electric constant
for the second law of Newton, in the x direction (for example):
  • Funbalanced,x=m×ax
for work done by a constant force (careful, Fparallel may be negative and its the force component in the displacement direction):
  • W=Fparallel×displacement
for average power:
  • P=WΔt
for instantaneous power
  • P=F⃗ v⃗ 
for the conservation of energy:
  • Etotalinitial=Etotalfinal
for the kinetic, potential and total energy:
  • K=12mv2
  • Ugravitacional,approximate=mgh
  • Ugravitacional,exact=Gm.Mr
  • Uelast=12kΔx2
  • Uelectric=keq1q2r1,2+keq1q3r1,3+keq2q3r2,3+...
  • Etotal=K+Ugravitacional+Uelast+Uelectric
for simple harmonic oscilation:
  • a=ω2x
  • ω=2πT=ΔθΔt
  • pendulum: ω2=km
  • spring-mass: ω2=gl
for the gravitic field created by a mass M, acting on a mass m:
  • g=GMr2
  • weight=FG=m×g
for the elecric field E acting on a charge q:
Fe=q×E

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