A-level Physics/Equation Sheet

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Equations, constants, and other useful data that the A-level student of physics is required to memorise.

Forces and Motion[edit]

Newtonian Mechanics[edit]

Conventions[edit]

  • \vec{v}_0\ denotes initial velocity
  • \vec{v}\ denotes final velocity
  • \vec{a}\ denotes acceleration
  • \vec{s} denotes displacement
  • t\ denotes time
  • W\ denotes work done
  • m,\ m_i denotes mass or mass of object i
  • P\ denotes Power
  • A vector without it's arrow implies the magnitude of the vector, e.g. b=\left|\vec{b}\right|

Kinematic Equations[edit]

  • \vec{v} = \frac {\Delta \vec{s}}{\Delta t} = \frac{d \vec{s}}{dt}
  • \vec{a} = \frac {\Delta \vec{v}}{\Delta t} = \frac{d \vec{v}}{dt}
  • \ \Delta v = v_0 + a \Delta t
  • v^2 = v_0^2 + 2a \Delta s\
  • s = s_0 + v_0 \Delta t + \frac{1}{2}a (\Delta t)^2
  • \Delta s = \frac{v_0+v}{2} \cdot \Delta t

Force and Momentum[edit]

  • \vec{p} = m \vec{v}
  • \vec{F_{net}} = m \vec{a}
  • \vec{F} = \frac{\Delta \vec{p}}{\Delta t} = \frac {m \Delta \vec{v}}{\Delta t} = \frac{d \vec{p}}{dt}
  • \vec{F_g}=\frac{Gm_1m_2}{r^2}

Work and Energy[edit]

  • E_g = mgh\ For small heights where g can be treated as constant
  • E_g = \frac{-Gm_1m_2}{r} (for any height)
  • E_K = \frac{1}{2}mv^2
  • W = \vec{F} \cdot \Delta \vec{x} = \int \vec{F} \cdot d \vec{x}
  • P = \frac {\Delta W}{\Delta t} = \frac{dW}{dt}