Physics equations trainer

Drill

Loading your drill.

The equations (28)

On the recall list

$W = m\,g$ weight = mass × gravitational field strength
$W = F\,s$ work done = force × distance moved along the line of action of the force
$F = k\,e$ force = spring constant × extension
$s = v\,t$ distance travelled = speed × time
$a = \frac{\Delta v}{t}$ acceleration = change in velocity ÷ time taken
$F = m\,a$ resultant force = mass × acceleration
$p = m\,v$ Highermomentum = mass × velocity
$E_k = \tfrac{1}{2}\,m\,v^2$ kinetic energy = 0.5 × mass × (speed)²
$E_p = m\,g\,h$ gravitational potential energy = mass × gravitational field strength × height
$P = \frac{E}{t}$ power = energy transferred ÷ time
$P = \frac{W}{t}$ power = work done ÷ time
$\eta = \frac{E_{\text{useful}}}{E_{\text{total}}}$ efficiency = useful output energy transfer ÷ total input energy transfer
$\eta = \frac{P_{\text{useful}}}{P_{\text{total}}}$ efficiency = useful power output ÷ total power input
$v = f\,\lambda$ wave speed = frequency × wavelength
$Q = I\,t$ charge flow = current × time
$V = I\,R$ potential difference = current × resistance
$P = V\,I$ power = potential difference × current
$P = I^2\,R$ power = (current)² × resistance
$E = P\,t$ energy transferred = power × time
$E = Q\,V$ energy transferred = charge flow × potential difference
$\rho = \frac{m}{V}$ density = mass ÷ volume

Select and apply (always on the sheet)

$v^2 - u^2 = 2\,a\,s$ (final velocity)² − (initial velocity)² = 2 × acceleration × distance
$E_e = \tfrac{1}{2}\,k\,e^2$ elastic potential energy = 0.5 × spring constant × (extension)²
$\Delta E = m\,c\,\Delta\theta$ change in thermal energy = mass × specific heat capacity × temperature change
$T = \frac{1}{f}$ period = 1 ÷ frequency
$F = B\,I\,l$ Higherforce on a conductor = magnetic flux density × current × length
$E = m\,L$ energy for a change of state = mass × specific latent heat
$V_p\,I_p = V_s\,I_s$ Higherpotential difference across primary × current in primary = potential difference across secondary × current in secondary

Test yourself across all three sciences

Start the free lesson

How we work this out

What it does

Not word for word in June 2027. All 28 are printed on the June 2027 equation sheet. Recall still pays: it makes choosing and rearranging the right equation quick and sure.

How it works

The list is the 28 physics equations in the AQA 8464 specification: 21 it asks you to recall and 7 it asks you to select and apply from the equation sheet.
Each equation gives three kinds of card: write the equation, rearrange it for another quantity, and give the SI unit of each quantity.
Your answer is tested by meaning: any correct arrangement, in symbols or words, is accepted, and a unit is accepted in any equivalent form.
Cards you get right come back after longer gaps (2, 4, 8, 16, then 32 cards); a card you miss comes back after one other card.
Your progress is kept in this browser only. Nothing is sent to us.