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Clear formula Search formula templates All Mechanics Oscillations and Waves Electricity and Magnetism Thermal Physics Optics Modern Physics Mathematics for Physics Showing all topics 73 Mechanics14 formulas Velocity in uniformly accelerated motion v=v_0+at Position equation x=x_0+v_0t+\frac{1}{2}at^2 Time-independent kinematic relation v^2-v_0^2=2a(x-x_0) Newton’s second law \sum \vec{F}=m\vec{a} Momentum \vec{p}=m\vec{v} Impulse \Delta \vec{p}=\vec{F}\,\Delta t Work done by a force A=Fs\cos\alpha Power P=\frac{A}{t}=Fv Kinetic energy W_{\mathrm{đ}}=\frac{1}{2}mv^2 Gravitational potential energy W_{\mathrm{t}}=mgh Mechanical energy W=W_{\mathrm{đ}}+W_{\mathrm{t}} Centripetal acceleration a_{\mathrm{ht}}=\frac{v^2}{r}=\omega^2r Gravitational force F=G\frac{m_1m_2}{r^2} Torque M=Fd Oscillations and Waves10 formulas Simple harmonic motion x=A\cos(\omega t+\varphi) Oscillation velocity v=-\omega A\sin(\omega t+\varphi) Oscillation acceleration a=-\omega^2x Spring–mass oscillator period T=2\pi\sqrt{\frac{m}{k}} Simple pendulum period T=2\pi\sqrt{\frac{\ell}{g}} Wave equation u=A\cos(\omega t-kx+\varphi) Wave-speed relation v=\lambda f=\frac{\lambda}{T} Phase difference \Delta\varphi=\frac{2\pi\Delta x}{\lambda} Wave intensity I=\frac{P}{S} Sound intensity level L=10\log_{10}\left(\frac{I}{I_0}\right) Electricity and Magnetism15 formulas Coulomb’s law F=k\frac{|q_1q_2|}{r^2} Electric field strength \vec{E}=\frac{\vec{F}}{q} Electric potential and potential difference U_{AB}=V_A-V_B=\frac{A_{AB}}{q} Capacitance C=\frac{Q}{U} Capacitor energy W=\frac{1}{2}CU^2=\frac{Q^2}{2C} Ohm’s law U=IR Electric power P=UI=I^2R=\frac{U^2}{R} Series resistance R_{\mathrm{nt}}=R_1+R_2+\cdots+R_n Parallel resistance \frac{1}{R_{\mathrm{ss}}}=\sum_{i=1}^{n}\frac{1}{R_i} Kirchhoff’s current law \sum I_{\mathrm{vào}}=\sum I_{\mathrm{ra}} Lorentz force F=|q|vB\sin\alpha Magnetic force on a current-carrying wire F=B I\ell\sin\alpha Magnetic flux \Phi=BS\cos\alpha Faraday’s law \mathcal{E}=-\frac{d\Phi}{dt} Magnetic-field energy W=\frac{1}{2}LI^2 Thermal Physics7 formulas Heat Q=mc\Delta T Latent heat Q=mL Ideal-gas equation pV=nRT First law of thermodynamics \Delta U=Q+A Mean translational kinetic energy \overline{W_{\mathrm{đ}}}=\frac{3}{2}k_{\mathrm{B}}T Heat-engine efficiency \eta=\frac{A}{Q_1}=1-\frac{Q_2}{Q_1} Fourier heat conduction \frac{Q}{t}=-\kappa S\frac{dT}{dx} Optics8 formulas Refractive index n=\frac{c}{v} Law of refraction n_1\sin i=n_2\sin r Thin-lens equation \frac{1}{f}=\frac{1}{d}+\frac{1}{d\prime} Image magnification k=\frac{h\prime}{h}=-\frac{d\prime}{d} Young-fringe spacing i=\frac{\lambda D}{a} Bright fringe x_k=k\frac{\lambda D}{a} Single-slit diffraction a\sin\theta=m\lambda Lens power D=\frac{1}{f} Modern Physics9 formulas Photon energy E=hf=\frac{hc}{\lambda} Einstein photoelectric equation hf=A+W_{\mathrm{đ,max}} de Broglie wavelength \lambda=\frac{h}{p} Mass–energy equivalence E=mc^2 Lorentz factor \gamma=\frac{1}{\sqrt{1-\frac{v^2}{c^2}}} Radioactive decay N=N_0e^{-\lambda t}=N_0 2^{-t/T_{1/2}} Mass defect \Delta m=Zm_p+(A-Z)m_n-m_{\mathrm{hn}} Binding energy W_{\mathrm{lk}}=\Delta mc^2 Uncertainty principle \Delta x\,\Delta p\geq\frac{\hbar}{2} Mathematics for Physics10 formulas Derivative v=\frac{dx}{dt} Partial derivative \frac{\partial f}{\partial x} Definite integral \int_a^b f(x)\,dx Line integral \int_C \vec{F}\cdot d\vec{\ell} Surface integral \iint_S \vec{F}\cdot d\vec{S} Gradient \operatorname{grad}f=\nabla f Divergence \operatorname{div}\vec{F}=\nabla\cdot\vec{F} Curl \operatorname{rot}\vec{F}=\nabla\times\vec{F} Differential equation \frac{d^2x}{dt^2}+\omega^2x=0 Mean value \langle A\rangle=\frac{1}{T}\int_0^T A(t)\,dt No matching template was found. 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