Rosa's Summary of Class Formulae

for uniform motion (a=0):

• v=v0 and
  
• Δs=v0×Δt
  

for uniformly accelerated motion (a=constant≠0):

• 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