physics equations

Equation for calculating weight ($W$)

$W = m \times g$, where $m$ is mass ($\text{kg}$) and $g$ is gravitational field strength ($\text{N/kg}$).

Equation for work done ($W$) by a force

$W = F \times s$, where $F$ is force ($\text{N}$) and $s$ is distance moved along the line of action ($\text{m}$).

Equation for kinetic energy ($E_k$)

$E_k = \frac{1}{2} m v^2$, where $m$ is mass ($\text{kg}$) and $v$ is speed ($\text{m/s}$).

Equation for gravitational potential energy ($E_p$)

$E_p = m \times g \times h$, where $m$ is mass ($\text{kg}$), $g$ is gravitational field strength ($\text{N/kg}$), and $h$ is height ($\text{m}$).

Equation for power ($P$) in terms of energy transferred ($E$)

$P = \frac{E}{t}$, where $E$ is energy transferred ($\text{J}$) and $t$ is time taken ($\text{s}$).

Equation for calculating efficiency of an energy transfer

$$\text{Efficiency} = \frac{\text{Useful output energy transfer}}{\text{Total input energy transfer}}$$

Equation relating charge flow ($Q$), current ($I$), and time ($t$)

$Q = I \times t$, where $Q$ is charge flow ($\text{C}$), $I$ is current ($\text{A}$), and $t$ is time ($\text{s}$).

Equation relating potential difference ($V$), current ($I$), and resistance ($R$)

$V = I \times R$, where $V$ is potential difference ($\text{V}$), $I$ is current ($\text{A}$), and $R$ is resistance ($\Omega$).

Equation for electrical power ($P$) in terms of potential difference ($V$) and current ($I$)

$P = V \times I$, where $P$ is power ($\text{W}$), $V$ is potential difference ($\text{V}$), and $I$ is current ($\text{A}$).

Equation for calculating density ($\rho$)

$\rho = \frac{m}{V}$, where $m$ is mass ($\text{kg}$) and $V$ is volume ($\text{m}^3$).

Equation relating resultant force ($F$), mass ($m$), and acceleration ($a$)

$F = m \times a$, where $F$ is resultant force ($\text{N}$), $m$ is mass ($\text{kg}$), and $a$ is acceleration ($\text{m/s}^2$).

Equation relating wave speed ($v$), frequency ($f$), and wavelength ($\lambda$)

$v = f \times \lambda$, where $v$ is wave speed ($\text{m/s}$), $f$ is frequency ($\text{Hz}$), and $\lambda$ is wavelength ($\text{m}$).