Equations for CH 123

The following is a list of equations which you should know and be able to manipulate.

Equation Meaning
F = m Force = mass x acceleration (m/s/s or m/s2).  If a net force is acting on a particle, it will accelerate.  If the net force on a particle is zero, the particle will not accelerate.  Rather it will stay at the same velocity. If it were initially at rest, it will stay at rest.
Fgrav = kM1M2/r2   Gravitation force - force of attraction acting between 2 bodies separated by distance r between their centers and of mass M1 and M2 - is inversely proportional to r2
Felectro = kQ1Q2/r2   Electrostatic force (Couloumb's Law) - force of attraction or repulsion acting between 2 charged bodies separated by distance r between their centers and of charge  Q1 and Q2 - is inversely proportional to r2
Eelctro = -Felect(r )

Force = -ΔE/ΔR (or -ΔE/Δx)  so ΔE = -FΔx
or F = - slope  (minus sign since F goes in opposite direction of
increasing potential.

Epot = mgh  Potential energy = mass x acceleration due to gravity (9.8 m./s2) x height
Ekin mv2 Kinetic energy =   x  mass  x velocity2
p = mv  Momentum of particle (p) = mass x velocity
Would you rather be hit by a mosquito or an elephant, each with a
velocity of 1 m/s?
pang = mvr  angular momentum = mass x velocity x radius
W = -Fext Δ Work  (units of energy) = - force X distance moved
(Fext = friction), work done on rectangle
c = λυ speed of light (c) = wavelength (λ)  x frequency (υ)
E = hυ = hc/λ Energy of a photon = Planck constant (h) x frequency (υ) =  h x speed of light(c) divided by wavelength (λ)
p = h/λ  momentum of particle = Planck constant (h) /wavelength
(picture of DeBroglie)
ΔpΔx > h/4π =hbar/2 = H/2 Heisenberg Uncertainty Principle: uncertainty in momentum x uncertainty in position is greater than or equal to Planck constant/4 pi.