$V=\frac{4}{3} \pi R^{3}$

$L=2 \pi R$

$S=\pi R^{2}$

$(\cos x)^{'}=-\sin x$

$(\sin x)^{'}=\cos x$

$\rho=\frac{m}{V}$

$p=\rho g h$

$F_{\mathrm{A}}=\rho g V$

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

$\frac{F_{2}}{F_{1}}=\frac{S_{2}}{S_{1}}$

$E=E_{p}+E_{k}$

$\vec{p}_{01}+\vec{p}_{02}+\ldots+\vec{p}_{0 n}=\vec{p}_{1}+\vec{p}_{2}+\ldots+\vec{p}_{n}$

$E_{k}=\frac{m v^{2}}{2}$

$\eta=\frac{A_{\text{кор}}}{A_{\text{пов}}} \cdot 100 \%$

$\vec{F} t=\vec{p}-\vec{p}_{0}$

$E_{p 1}+E_{k 1}=E_{p 2}+E_{k 2}$

$E_{p}=\frac{k x^{2}}{2}$

$P=F v$

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

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

$A=\Delta E$

$E_{p}=m g h$

$A=F s \cos \alpha$

$\vec{a}=\frac{\vec{F}}{m}$

$M=F d$

$F_{\text{пруж}}=k|x|$

$F_{\text{тертя ковз}}=\mu N$

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

$\vec{F}_{1}=-\vec{F}_{2}$

$F_{\text{тяж}}=m g$

$\vec{F}=\vec{F}_{1}+\vec{F}_{2}+\ldots+\vec{F}_{n}$

$M_1 + M_2 + \ldots + M_n = 0$

$\vec{F}_1 + \vec{F}_2 + \ldots + \vec{F}_n = 0$

$s_x = \frac{v_x^2 - v_{0x}^2}{2a}$

$s_x = v_{0x} t + \frac{a_x t^2}{2}$

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

$v_{\text{сер}}=\frac{l}{t}=\frac{l_{1}+l_{2}+\ldots+l_{n}}{t_{1}+t_{2}+\ldots+t_{n}}$

$x=x_{0}+v_{\mathrm{x}} t$

$T=\frac{t}{N}$

$a_{\mathrm{x}}=\frac{v_{\mathrm{x}}-v_{0_{\mathrm{x}}}}{t}$

$n=\frac{N}{t}$

$T=\frac{1}{n}$

$s_{\mathrm{x}}=\frac{v_{\mathrm{x}}+v_{0_{\mathrm{x}}}}{2} \cdot t$

$v=\frac{l}{t}=\frac{2 \pi R}{T}$

$\omega=\frac{\Delta \varphi}{\Delta t}$

$\omega=\frac{2 \pi}{T}$

$\vartheta=\omega R$

$a_{\text{дц}}=\frac{v^{2}}{R}$

$x = x_0 + v_{0x} t + \frac{a_x t^2}{2}$

$\sigma=E|\varepsilon|$

$\varepsilon=\frac{\Delta l}{l_{0}} \cdot 100 \%$

$h=\frac{2 \sigma}{\rho g r}$

$\varphi=\frac{p_{\mathrm{a}}}{p_{\text{н. п.}}} \cdot 100 \%$

$\varphi=\frac{\rho_{\mathrm{a}}}{\rho_{\text{н. п.}}} \cdot 100 \%$

$\sigma=\frac{F_{\text{пов}}}{l}$

$\rho_{\mathrm{a}}=\frac{m_{\mathrm{H}_{2} \mathrm{O}}}{V}$

$\bar{E}_{k}=\frac{m_{0} \overline{v^{2}}}{2}$

$v=\frac{N}{N_{\mathrm{A}}}$

$v=\frac{m}{M}$

$T=t+273$

$\bar{E}_{k}=\frac{3}{2} k T$

$\bar{v}_{\text{кв}}=\sqrt{\overline{v^{2}}}$

$p=n k T$

$p=\frac{1}{3} m_{0} n \overline{v^{2}}$

$p V=\frac{m}{M} R T$

$\frac{p_{1} V_{1}}{T_{1}}=\frac{p_{2} V_{2}}{T_{2}}, \frac{p V}{T} = \text{const}, m=\text{const}$

$\eta=\frac{A}{Q_{\mathrm{н}}} \cdot 100 \%=\frac{Q_{\mathrm{н}}-Q_{\mathrm{x}}}{Q_{\mathrm{н}}} \cdot 100 \%$

$\eta_{\max}=\frac{T_{\mathrm{H}}-T_{\mathrm{X}}}{T_{\mathrm{H}}} \cdot 100 \%$

$Q_{1}^{-}+Q_{2}^{-}+\ldots+Q_{n}^{-}=Q_{1}^{+}+Q_{2}^{+}+\ldots+Q_{n}^{+}$

$\eta=\frac{Q_{\text{корисна}}}{Q_{\text{повна}}} \cdot 100 \%$

$Q=c m \Delta t$

$Q=q m$

$A=p \Delta V$

$Q=r m$

$U=\frac{3}{2} \frac{m}{M} R T$

$Q=\lambda m$

$Q=\Delta U+A$

$\overline{v}=\frac{I}{n|e| S}$

$R=R_{0}(1+\alpha t)$

$m=k I t$

$U=U_{1}+U_{2}+\cdots+U_{n}$

$I=\frac{q}{t}$

$U=\frac{A}{q}$

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

$I=\frac{U}{R}$

$I=I_{1}=I_{2}=\cdots=I_{n}$

$I=\frac{\mathcal{E}}{R+r}$

$R=R_{1}+R_{2}+\cdots+R_{n}$

$U=U_{1}=U_{2}=\cdots=U_{n}$

$I=I_{1}+I_{2}+\cdots+I_{n}$

$\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\cdots+\frac{1}{R_{n}}$

$A=U I t$

$P=U I$

$Q=I^{2} R t$

$F_{\mathrm{A}}=B I l \sin \alpha$

$F_{\text{Л}}=|q| \vartheta B \sin \alpha$

$\Phi=B S \cos \alpha$

$\varepsilon_{i}=-\frac{\Delta \Phi}{\Delta t}$

$\varepsilon_{i}=B v l \sin \alpha$

$\varepsilon_{i s}=-L \frac{\Delta I}{\Delta t}$

$\Phi=L I$

$W_{м}=\frac{L I^{2}}{2}$

$A=q E d$

$C=\frac{\varepsilon \varepsilon_{0} S}{d}$

$C=\frac{q}{U}$

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

$\varphi_{1}-\varphi_{2}=\frac{A_{1 \rightarrow 2}}{q}$

$\varphi=\frac{W_{p}}{q}$

$W=\frac{q^{2}}{2 C}$

$\vec{E}=\vec{E}_{1}+\vec{E}_{2}+\ldots+\vec{E}_{n}$

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

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

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

$q_{1}+q_{2}+\ldots+q_{n}=\text{const}$

$|q|=N|e|$

$q=q_{1}=q_{2}=\ldots=q_{n}$

$U=U_{1}+U_{2}+\ldots+U_{n}$

$\frac{1}{C}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\ldots+\frac{1}{C_{n}}$

$q=q_{1}+q_{2}+\ldots+q_{n}$

$U=U_{1}=U_{2}=\cdots=U_{n}$

$C=C_{1}+C_{2}+\cdots+C_{n}$

$W=\frac{C U^{2}}{2}$

$W=\frac{q U}{2}$

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

$\frac{U_{1}}{U_{2}} \approx \frac{\varepsilon_{1}}{\varepsilon_{2}}=\frac{N_{1}}{N_{2}}=k$

$X_{L}=\omega L$

$W=W_{\text{ел } \max }=W_{\text{м } \max }=W_{\text{ел }}+W_{\text{м }}$

$I_{\max }=q_{\max } \cdot \omega$

$T=2 \pi \sqrt{L C}$

$a=-\omega^{2} x$

$T=\frac{t}{N}$

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

$a_{\max }=\omega^{2} \cdot x_{\max }$

$v_{\max }=\omega \cdot x_{\max }$

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

$x=A \cos \left(\omega t+\varphi_{0}\right)$

$\lambda=v \cdot T$

$\nu=\frac{N}{t}$

$n_{21}=\frac{\vartheta_{1}}{\vartheta_{2}}=\frac{n_{2}}{n_{1}}=\frac{\lambda_{1}}{\lambda_{2}}$

$d \cdot \sin \varphi=k \lambda$

$\Delta d=d_{2}-d_{1}=(2 k+1) \frac{\lambda}{2}$

$\Delta d=d_{2}-d_{1}=k \lambda=2 k \frac{\lambda}{2}$

$\Gamma=\frac{H}{h}=\frac{|f|}{|d|}$

$D=\frac{1}{F}=\frac{1}{d}+\frac{1}{f}$

$\sin \alpha_{0}=\frac{n_{2}}{n_{1}}$

$n=\frac{c}{v}$

$\frac{\sin \alpha}{\sin \gamma}=n_{21}$

$N=N_{0} \cdot 2^{-\frac{t}{T}}$

$E=m c^{2}$

$v_{\mathrm{x}}=\frac{v_{1 \mathrm{x}}+v_{2 \mathrm{x}}}{1+\frac{v_{1 \mathrm{x}} \cdot v_{2 \mathrm{x}}}{c^{2}}}$

$E_{ф}=A_{\text{вих}}+E_{k \max}$

$E=h \nu$

$c=\lambda \nu$

$A_{\text{вих}}=h \nu_{\min}=\frac{h c}{\lambda_{\max}}$

$p=\frac{E}{c}=\frac{h \nu}{c}=\frac{h}{\lambda}$

$E_{k \max}=\frac{m \vartheta_{\max}^{2}}{2}=e U_{3}$