Physics / Quick Reference

Formula Sheet

A compact collection of the most commonly used Physics formulas across the Your Answer V1 curriculum. Use it as a quick reference while studying rather than as a replacement for understanding the concepts behind each equation.

Mechanics

Motion, force, energy, momentum, and circular motion.

Speed

v = d/t

Distance divided by time.

Acceleration

a = Δv/Δt

Newton's second law

F = ma

Momentum

p = mv

Kinetic energy

K = ½mv²

Gravitational potential energy

U = mgh

Work

W = Fs cos θ

Power

P = W/t

Density

ρ = m/V

Impulse

J = FΔt = Δp

Centripetal acceleration

a = v²/r

Centripetal force

F = mv²/r

Gravitation

Universal gravitation and gravitational fields.

Universal gravitation

F = Gm₁m₂/r²

Gravitational field

g = GM/r²

Weight

W = mg

Escape velocity

vₑ = √(2GM/R)

Matter & Fluids

Pressure, density, buoyancy, and fluid flow.

Pressure

P = F/A

Liquid pressure

P = ρgh

Buoyant force

Fᵦ = ρVg

Continuity equation

A₁v₁ = A₂v₂

Bernoulli equation

P + ½ρv² + ρgh = constant

Thermal Physics

Heat, temperature, gases, and thermodynamic processes.

Heat transfer

Q = mcΔT

Latent heat

Q = mL

Ideal gas law

PV = nRT

First law of thermodynamics

ΔU = Q − W

Efficiency

η = useful output / total input

Waves

Wave motion, frequency, wavelength, and oscillations.

Wave equation

v = fλ

Frequency

f = 1/T

Angular frequency

ω = 2πf

Simple harmonic motion

a = −ω²x

Electricity

Charge, current, voltage, resistance, and electrical power.

Current

I = Q/t

Ohm's law

V = IR

Electrical power

P = VI

Power in resistor

P = I²R

Electrical energy

E = Pt

Electrical resistance

R = ρL/A

Magnetism

Magnetic forces, fields, flux, and electromagnetic induction.

Force on moving charge

F = qvB sin θ

Force on current-carrying wire

F = BIL sin θ

Magnetic flux

Φ = BA cos θ

Faraday's law

ε = −NΔΦ/Δt

Optics

Reflection, refraction, lenses, and light.

Mirror equation

1/f = 1/u + 1/v

Magnification

m = v/u

Refractive index

n = c/v

Snell's law

n₁ sin θ₁ = n₂ sin θ₂

Lens equation

1/f = 1/u + 1/v

Modern Physics

Relativity, quantum physics, and nuclear physics.

Mass-energy equivalence

E = mc²

Photon energy

E = hf

Photon momentum

p = h/λ

de Broglie wavelength

λ = h/p

Photoelectric equation

hf = φ + Kmax

Radioactive decay

N = N₀(1/2)t/T₁/₂

Tip: Learn what each symbol represents and when a formula applies. Memorising an equation without understanding its conditions can lead to incorrect results.