The following is a list of equations which you should know and
be able to manipulate.
Equation
Meaning
F = ma
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
Δx
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.