Cupboard Formulae

Refer to the OG Zehr Cupboard Formulae.

Requisite: Vectors, Dot Product, Cross Product.

Constants

Kinematics

Motion in 1D, Motion in 2D

Forces

Forces and Motion

Energy

Work and Energy

• • - power (Watts (W))

Uniform Circular Motion

Forces and Motion

• • Formula for satellites

Momentum and Impulse

Linear Momentum and Collisions

• • - momentum
• • - total force on object
  • - interaction time
  • - change in momentum

Simple Harmonic Motion

• (Hooke's law)
  • - spring force
  • - spring constant ()
  • - distortion ()
• • - Potential NRG of spring
  • - spring constant
  • - distortion

Oscillating Springs

• • - the maximum velocity the mass will reach, which occurs at the middle of the oscillation
  • - amplitude
  • - spring constant
  • - mass
• • - angular frequency ()
  • - change in angular rotation. For spring oscillation, it's the full range of a sinusoidal graph ()
  • - period
• • - the position of a mass at any given time in an oscillation
  • - amplitude
  • - amplitude

Pendulums

• If , because as , (see Fundamental Theorem of Engineering)
  • in radians
• • - arc length
  • - length of rope for pendulum
• • L - length of rope

Fields

Electric Fields

Electrical Fields

• (Coulomb's law)
  • - electric force
  • - Coulomb constant
  • , - charges (C)
  • - distance of separation
• • - electric potential NRG (J)
• • - voltage ()
• • - The "electric field" ()
  • - test charge

Parallel Plates

Parallel Plates

Magnetic Fields

Magnetic Fields

• • - magnetic field (tesla (T))
• • - magnetic field for coiled wire (T)
  • - number of turns
  • - length of wire
• • - magnetic force in a conducted magnet
  • - how much wire is in the magnet
• • - force on a moving charge

Waves

• • Speed is always constant in the same medium. Change in frequency causes an a proportionate change in the wavelength.

Wave Optics

• • Constructive Interference
• • Destructive interference
• • Single slit maxima
  • is like
  • is like
• • Single slit minima
• • Change in medium

Sound

• • Speed of sound
  • - base speed
  • - temperature in celcius
• • - observed frequency
  • - source frequency
  • - wave velocity (speed of sound)
  • - source velocity (speed of object)
  • - if object is getting closer, use negative
• • Intensity of radiant energy
  • - intensity ( or )
  • - power (watts)
• • Intensity in decibles

Heat

• • - Head energy
  • - specific heat capacity ( or )
  • - change in temperature
• • - latent heat
    • - fusion (e.g gas to liquid)
    • - vaporization (e.g solid to liquid)

Nuclear Force

• • - final amount
  • - initial amount
  • - half-life

Modern Physics

Momentum of Light

• • Momentum of a photon