Definition of radian
The measure of the angle subtended at the center of the circle when the radius is equal to the arc length/linear displacement.
Formula for angular speed
ω = dθ/dt = 2π/T
Formulae for tangential/linear speed
v = ωr
v = ds/dt
Formulae for centripetal acceleration
ac = v2/r
ac = ω2r
Formulae for centripetal force
Fc = mac
Fc = mv2/r
Fc = mω2r
Newton’s Law of Gravitation equation for the force between two point masses
Fg = GMm/r2
Newton’s Law of Gravitation definition
The force of attraction between two point masses is directly proportional to the product of their masses and inversely proportional to their separation squared.
Terms of a satellite in a geostationary orbit
Orbits from West to East (WE)
Orbits directly above the equator
Has and orbital period of 24 hours
Gravitational Field definition
Force per unit mass
Equation for gravitational field strength due to a point mass
g = GM/r2 (m is mass of point mass pulling)
Define the gravitational potential at a point
The work done per unit mass in bringing a small test mass from infinity to the point.
Equation for T/K
θ/ °C + 273.15
Define specific heat capacity
The amount of thermal energy required to raise a substance by 1°C per unit mass.
Define specific latent heat
The amount of thermal energy required to change the state of a substance per unit mass without a change in temperature.
Give the equations of state for an ideal gas
pV = nRT
pV = NkT
What is the equation for the Boltzmann constant k?
R/NA (NA is Avogadro’s constant)
Give the basic assumptions of the kinetic theory of gases (hint: there are 5)
Gas particles are in continuous, random motion
Gas particles have negligible volume compared to the volume of the gas
There are negligible intermolecular forces between the particles, except during collisions
All collisions are perfectly elastic
Time of collisions are negligible in comparison with time between collisions
Formula for the average translational kinetic energy of a gas molecule.
3/2 kT
Define internal energy
The sum of a random distribution of kinetic and potential energies associated with the molecules of a system.
Equation for work done
W = pΔV (at constant pressure of surroundings)
First law of thermodynamics
ΔU = q + W
increase in internal energy
energy transferred to system by heating
work done on the system
Define electric field
Force per unit positive charge.
Equation for force on a charge in an electric field
F = qE
Equation for field strength of the uniform field between charged parallel plates
E = ΔV/Δd (V is potential difference)
Equation for force between two point charges in free space.
Coulomb’s Law
F = Q1Q2 /(4πε0r2)
Electric field strength due to a point charge in free space
E = Q /(4πε0r2)
Define electric potential at a point
The work done per unit positive charge in bringing a small test charge from infinity to the point.
Relate electric field at a point to the potential gradient at that point.
E = - potential gradient = -ΔV/Δd
Equation for electric potential in the field due to a point charge
V = Q /(4πε0r)