📚 Wzory fizyczne

1. Kinematyka

\( s = v \cdot t \)

\( s = v_0 t + \frac{1}{2} a t^2 \)

\( v = v_0 + a t \)

\( a = \frac{v^2}{r} \)

2. Dynamika

\( F = m \cdot a \)

\( F_t = \mu N \)

\( F = k x \)

\( F = \frac{m v^2}{r} \)

3. Energia i moc

\( W = F \cdot s \cos \alpha \)

\( E_k = \frac{1}{2} m v^2 \)

\( E_p = m g h \)

\( P = \frac{W}{t} \)

4. Grawitacja

\( F = \frac{G \cdot m_1 m_2}{r^2} \)

\( g = \frac{GM}{r^2} \)

\( v = \sqrt{\frac{GM}{r}} \)

\( E_p = -\frac{G \cdot m_1 m_2}{r} \)

5. Ruch postępowy i obrotowy

\( M = F \cdot r \)

\( I = m r^2 \)

\( K = \frac{1}{2} I \omega^2 \)

\( \omega = \frac{2 \pi}{T} \)

6. Hydrodynamika

\( p = \rho g h \)

\( F = \rho g V \)

\( A_1 v_1 = A_2 v_2 \)

\( p + \frac{1}{2} \rho v^2 + \rho g h = \text{const} \)

7. Termodynamika

\( Q = m c \Delta T \)

\( p V = n R T \)

\( \Delta U = Q + W \)

\( Q = m L \)

8. Drgania i fale

\( f = \frac{1}{T} \)

\( v = \lambda f \)

\( T = 2 \pi \sqrt{\frac{l}{g}} \)

\( T = 2 \pi \sqrt{\frac{m}{k}} \)

\( f' = f \cdot \frac{v \pm v_o}{v \mp v_z} \)

\( I = \frac{P}{A} \)

9. Elektrostatyka

\( F = \frac{k \cdot q_1 q_2}{r^2} \)

\( E = \frac{F}{q} \)

\( U = q V \)

\( C = \frac{Q}{U} \)

\( E_p = \frac{k \cdot q_1 q_2}{r} \)

10. PrÄ…d elektryczny

\( V = I R \)

\( P = V I = I^2 R \)

\( W = P t \)

\( R = \frac{\rho l}{S} \)

11. Magnetyzm

\( F = q v B \sin \alpha \)

\( \varepsilon = -\frac{\Delta \Phi}{\Delta t} \)

\( \varepsilon = B l v \)

\( \Phi = B \cdot S \cdot \cos \alpha \)

12. Optyka

\( n_1 \sin \alpha = n_2 \sin \beta \)

\( \frac{1}{f} = \frac{1}{x} + \frac{1}{y} \)

\( p = \frac{y}{x} \)

\( \frac{1}{f} = (n - 1) \left( \frac{1}{R_1} + \frac{1}{R_2} \right) \)

\( Z = Z_1 + Z_2 - d \cdot Z_1 Z_2 \)

13. Fizyka kwantowa

\( E = h f \)

\( E = \frac{h c}{\lambda} \)

\( p = \frac{h}{\lambda} \)

\( L_n = n \hbar \)

\( E_n = -\frac{13.6}{n^2} \, \text{eV} \)

14. Fizyka atomowa

\( \Delta E = E_{\text{j}} - E_{\text{i}} \)

\( \lambda = \frac{hc}{\Delta E} \)

\( r_n = n^2 \cdot r_1 \)

15. Fizyka jÄ…drowa

\( E = \Delta m \cdot c^2 \)

\( N = N_0 e^{-\lambda t} \)

\( T_{1/2} = \frac{0.693}{\lambda} \)

16. STW

\( t' = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}} \)

\( L' = L \cdot \sqrt{1 - \frac{v^2}{c^2}} \)

\( p = \frac{p_0}{\sqrt{1 - \frac{v^2}{c^2}}} \)

\( u = \frac{u' + v}{1 + \frac{u' v}{c^2}} \)

\( E = m c^2 \)

\( E = \sqrt{p^2 c^2 + m_0^2 c^4} \)

\( f' = f \cdot \sqrt{\frac{c - v}{c + v}} \)

17. Astronomia

\( v_{\text{orb}} = \sqrt{\frac{GM}{r}} \)

\( \lambda_{\text{max}} \cdot T = b \)

\( E = \sigma T^4 \)

\( P = 4 \pi R^2 \cdot \sigma T^4 \)

\( v = H_0 \cdot d \)

\( z = \frac{\lambda_{\text{ob}} - \lambda_{\text{em}}}{\lambda_{\text{em}}} \)

\( z \approx \frac{v}{c} \)

\( z = \sqrt{\frac{1 + \beta}{1 - \beta}} - 1 \)

18. Stałe fizyczne

\( G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2 / \text{kg}^2 \)

\( c = 3.00 \times 10^8 \, \text{m/s} \)

\( h = 6.63 \times 10^{-34} \, \text{J} \cdot \text{s} \)

\( e = 1.60 \times 10^{-19} \, \text{C} \)

\( k = 9.00 \times 10^9 \, \text{N} \cdot \text{m}^2 / \text{C}^2 \)

\( R = 8.31 \, \text{J} / (\text{mol} \cdot \text{K}) \)

\( b = 2.898 \times 10^{-3} \, \text{m} \cdot \text{K} \)

\( \sigma = 5.670 \times 10^{-8} \, \text{W/m}^2 \cdot \text{K}^4 \)

\( H_0 = 70 \, \text{km/s/Mpc} \)