Физика, страница 6

$p=\rho gh$

$p=p_0+\rho gh$

$h=\frac{p}{\rho g}$

$\rho=\frac{p}{gh}$

$F=\rho ghS$

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

$\frac{F_2}{F_1}=\frac{S_2}{S_1}$

$F_2=F_1\frac{S_2}{S_1}$

$K=\frac{S_2}{S_1}$

$p=\rho gh$

$p_0=1\,\text{атм}=101325\,\text{Па}=101{,}325\,\text{кПа}\approx760\,\text{мм рт. ст.}$

$F=p_{atm}S$

$p_{abs}=p_{atm}+p_{izb}$

$p_{izb}=\rho g\Delta h$

$h_1=h_2$

$\rho_1h_1=\rho_2h_2$

$p_{sr}=\frac{\rho gh}{2}$

$F=\frac{\rho ghS}{2}$

$F_A=\rho gV$

$P'=mg-F_A$

$V=\frac{F_A}{\rho g}$

$\rho_{т}<\rho_{ж}\;\text{— всплывает},\quad \rho_{т}=\rho_{ж}\;\text{— нейтрально},\quad \rho_{т}>\rho_{ж}\;\text{— тонет}$

$\frac{V_{pogr}}{V}=\frac{\rho_{tela}}{\rho_{zhidkosti}}$

$\rho_{tela}=\rho_{zhidkosti}\frac{V_{pogr}}{V}$

$m_{gr}=\rho V-m_0$

$F_A=\rho_{gaza}gV$

$p_1V_1=p_2V_2$

$p_2=p_1\frac{V_1}{V_2}$

$L=T-U$

$\frac{d}{dt}\frac{\partial L}{\partial \dot q_i}-\frac{\partial L}{\partial q_i}=Q_i^{(nc)}$

$p_i=\frac{\partial L}{\partial \dot q_i}$

$H(q,p,t)=\sum_i p_i\dot q_i-L(q,\dot q,t)$

$\dot q_i=\frac{\partial H}{\partial p_i},\quad \dot p_i=-\frac{\partial H}{\partial q_i}$

$\frac{df}{dt}=\{f,H\}+\frac{\partial f}{\partial t},\quad \{f,g\}=\sum_i\left(\frac{\partial f}{\partial q_i}\frac{\partial g}{\partial p_i}-\frac{\partial f}{\partial p_i}\frac{\partial g}{\partial q_i}\right)$

$U_{\text{eff}}(r)=U(r)+\frac{\ell^2}{2mr^2}$

$T_{rot}=\frac12\boldsymbol{\omega}^{T}I\boldsymbol{\omega}$

$I=I_{cm}+ma^2$

$\omega^2=\frac{U''(q_0)}{m_{eff}}$