A-level Physics/Forces, Fields and Energy/Appendix of Formulae

Formulae by Section

This is the list of required formulae in the order that they appear in the OCR Syllabus for this module.

Dynamics
$P=m\cdot v$	Momentum is mass times velocity.
$F=\frac{dP}{dt}$	Force is the rate of change of momentum with respect to time.
Work and Energy
$W=F\cdot s$	Work is force times displacement
$E_k=\frac{1}{2}m{v}^2$	Kinetic energy is half of mass times velocity squared.
$E_p=mgh$	Potential energy is mass times acceleration due to gravity times height. (For situations near the surface of the earth only)
Circular Motion
$a=\frac{v^2}{r}$	Centripetal acceleration is velocity squared divided by the radius.
$F=\frac{m{v}^2}{r}$	Centripetal force is mass times velocity squared divided by the radius. (You are expected to be able to derive this from $F=m\cdot a$ and $a=\frac{v^2}{r}$ ).
Oscillations
$T=\frac{1}{f}$	Period is one over the frequency.
$a=-{\left(2\pi f\right)}^{2}x$	Acceleration is proportional to the negative displacement from the centre of oscillation.
$x=A\sin \left(2\pi ft\right)$	Displacement from the centre of oscillation is amplitude times position in cycle. (When oscillation started at centre).
$x=A\cos \left(2\pi ft\right)$	Displacement from the centre of oscillation is amplitude times position in cycle. (When oscillation started at one end).
$w=\frac{2\pi }{T}$	Angular Velocity is 2 times $\pi$ over the time period.
$w=\left(2\pi f\right)$	Angular Velocity is 2 times $\pi$ times the frequency of oscillations.
Gravitational Fields
$F=\frac{G{m}_1{m}_2}{r^2}$	Force is Gravitational Force Constant ($\mathrm{𝟔}\mathbf{.}\mathrm{𝟔}\mathrm{𝟕}\mathbf{\times }\mathrm{𝟏}{\mathrm{𝟎}}^{\mathbf{-}\mathrm{𝟏}\mathrm{𝟏}}𝐍{𝐦}^{\mathrm{𝟐}}𝐤{𝐠}^{\mathbf{-}\mathrm{𝟐}}$) times mass one times mass two over radius squared.