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
$P =\,m.v$	Momentum is mass times velocity.
$F = \frac{ d P }{dt}$	Force is the rate of change of momentum with respect to time.
Work and Energy
$W =\,F.s$	Work is force times displacement
$E_k = \frac{1}{2} mv^2$	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.
$F = \frac {mv^2}{r}$	Centripetal force is mass times velocity squared divided by the radius. (You are expected to be able to derive this from $F = m.a$ 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.
$x = A\sin \left(2\pi f t \right)$	Displacement from the centre of oscillation is amplitude times position in cycle. (When oscillation started at centre).
$x = A\cos \left( 2\pi f t \right)$	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
$F = \frac{Gm_1 m_2}{r^2}$	Force is Gravitational Force Constant ($\mathbf{6.67 \times 10^{-11} N m^2 kg^{-2}}$) times mass one times mass two over radius squared.