# Physics Formula List

Here is a list of the main formulas that appear in high school physics.

## Mechanics

$$v=\frac{x}{t}$$

$$v_{\mathrm{AB}}=v_{\mathrm{B}}-v_{\mathrm{A}}$$

$$a=\frac{\Delta v}{\Delta t}$$

$$v=v_{0}+at$$

$$x=v_{0}t+\frac{1}{2}at^2$$

$$v^{2}-v_{0}^{2}=2ax$$

$$W=mg$$

$$F=kx$$

$$f=\mu N$$

$$f’=\mu’ N$$

$$P=\frac{F}{S}$$

$$P=\rho hg$$

$$F=\rho Vg$$

$$ma=F$$

$$W=Fx\cos \theta$$

$$P=\frac{W}{t}$$

$$K=\frac{1}{2}mv^2$$

$$U=mgh$$

$$U=\frac{1}{2}kx^2$$

$$E=K+U$$

$$M=Fl$$

$$x_{\mathrm{G}}=\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}}$$

$$\vec{p}=m\vec{v}$$

$$m\vec{v^{\prime}}-m\vec{v}=\vec{F}\Delta t$$

$$v_{1}^{\prime}-v_{2}^{\prime}=-e(v_{1}-v_{2})$$

$$\omega=\frac{\theta}{t}$$

$$v=r \omega$$

$$vT=2\pi r$$

$$\omega T=2\pi$$

$$a=\frac{v^2}{r}$$

$$a=r \omega ^2$$

$$F=m\frac{v^2}{r}$$

$$F=mr\omega ^2$$

$$x=A\sin \omega t$$

$$x=A\omega \cos \omega t$$

$$x=-A\omega ^2\sin \omega t$$

$$T=2\pi \sqrt{\frac{m}{k}}$$

$$T=2\pi \sqrt{\frac{l}{g}}$$

$$\frac{1}{2}rv\sin \theta =const$$

$$\frac{T^2}{a^3} =const$$

$$F=G\frac{m_{1}m_{2}}{r^2}$$

$$U=-G\frac{m_{1}m_{2}}{r}$$

## Thermodynamics

$$T=t+273$$

$$Q=C\Delta T$$

$$Q=mc\Delta T$$

$$C=mc$$

$$Q=\Delta U+W$$

$$e=\frac{W}{Q_1}=\frac{Q_{1}-Q_2}{Q_1}$$

$$\frac{PV}{T}=const$$

$$PV=nRT$$

$$PV=NkT$$

$$k=\frac{R}{N_{\mathrm{A}}}$$

$$U=C_{V}T$$

$$W=P\Delta V$$

$$Q=nC_{V}\Delta T$$

・$$Q=nC_{P}\Delta T$$

$$C_{P}=C_{V}+R$$

## Waves

$$fT=1$$

$$v=f\lambda$$

$$f=|f_{1}-f_{2}|$$

$$y=A\sin 2\pi (\frac{t}{T}-\frac{x}{\lambda})$$

$$\frac{\sin i}{\sin r}=\frac{v_1}{v_2}=\frac{\lambda _1}{\lambda _2}=\frac{n_2}{n_1}$$

$$f^{\prime}=\frac{V-v_{\mathrm{o}}}{V-v_{\mathrm{s}}}f$$

$$\frac{1}{a}+\frac{1}{b}=\frac{1}{f}$$

## Electromagnetism

$$R=\rho \frac{l}{S}$$

$$I=\frac{|Q|}{t}$$

$$V=RI$$

$$P=IV$$

$$W=Pt$$

$$R=R_{1}+R_2$$

$$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$$

$$F=k\frac{q_{1}q_{2}}{r^2}$$

$$E=k\frac{|Q|}{r^2}$$

$$\vec{F}=q\vec{E}$$

$$U=qV$$

$$V=k\frac{Q}{r}$$

$$E=\frac{V}{d}$$

$$N=4\pi k|Q|$$

$$Q=CV$$

$$C=\varepsilon \frac{S}{d}$$

$$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}$$

$$C=C_{1}+C_2$$

$$U=\frac{1}{2}QV$$

$$H=\frac{I}{2\pi r}$$

$$H=\frac{I}{2r}$$

$$H=nI$$

$$B=\mu H$$

$$F=IBl\sin \theta$$

$$\Phi =BS$$

$$f=|q|vB\sin \theta$$

$$V=-N\frac{\Delta \Phi}{\Delta t}$$

$$V=-L\frac{\Delta I}{\Delta t}$$

$$V_{2}=-M\frac{\Delta I_1}{\Delta t}$$

$$V_{1}:V_{2}=N_{1}:N_{2}$$

$$U=\frac{1}{2}LI^2$$

$$\overline{P}=\frac{1}{2}I_{0}V_0$$

$$V_{\mathrm{e}}=\frac{1}{\sqrt{2}}V_0$$

$$I_{\mathrm{e}}=\frac{1}{\sqrt{2}}I_0$$

$$X_{\mathrm{L}}=\omega L$$

$$X_{\mathrm{C}}=\frac{1}{\omega C}$$

$$Z=\frac{V_0}{I_0}$$

$$f_{0}=\frac{1}{2\pi \sqrt{LC}}$$

## Old Quantum Theory

$$E=h\nu$$

$$h\nu =W+K_{\mathrm{M}}$$

$$p=\frac{h}{\lambda}$$

$$\lambda =\frac{h}{mv}$$

$$2\pi r=n \frac{h}{mv}$$

$$N=N_{0}(\frac{1}{2})^{\frac{t}{T}}$$

$$E=mc^2$$