Science Equations

Magnification

Image size/Actual size | M = I/A

Relative Atomic Mass (RAM)

Σ(isotope mass × abundance)/100 | Ar = Σ(isotope mass × abundance)/100

Speed

Distance/Time | s = d/t

Acceleration

Change in velocity/Time | a = (v-u)/t

Force

Mass × acceleration | F = ma

Weight

Mass × gravitational field strength | W = mg

Momentum

Mass × velocity | p = mv

Work Done

Force × distance | W = Fs

Power (with work done)

Work done/Time | P = W/t

Power (with energy transferred)

Energy transferred/Time | P = E/t

Kinetic Energy

mass × velocity² x 1/2 | Ek = ½mv²

Gravitational Potential Energy

mass × gravitational field strength × height | Ep = mgh

Elastic Potential Energy

1/2 × spring constant × extension² | Ee = 1/2ke²

Hooke’s Law (Force)

Spring constant × extension | F = ke

Pressure

Force/Area | P = F/A

Efficiency (in percentage)

Useful output/Total input × 100

SUVAT equation without s (displacement)

final velocity = initial velocity + acceleration × time | v = u + at

SUVAT equation without v (final velocity)

displacement = initial velocity × time + 1/2 acceleration × time² | s = ut + 1/2at²

SUVAT equation without t (time)

final velocity² = initial velocity² + 2 × acceleration × displacement | v² = u² + 2as

SUVAT equation without a (acceleration)

displacement = ((final velocity + initial velocity)/2) × time | s = ((v + u)/2)t

SUVAT equation without u (initial velocity)

displacement = final velocity × time − 1/2 acceleration × time² | s = vt − 1/2at²

Stopping distance

thinking distance + braking distance | stopping distance = thinking + braking

Rf value

distance moved by substance ÷ distance moved by solvent

Solubility

mass of solute/mass of solvent × 100

frequency density

Frequency/class width