Physics tutorial

The physics tutorial will be under the pages section, with subsequent categories such as kinematics, Newtonian dynamics, static and dynamic fields et.c Until then, here’s a bunch of equations with no explanation whatsoever…enjoy !

If I do my job well, the reader should recognise and I hope understand, all of the below, having worked through the tutorial…comments, questions or corrections are welcome.

s_x = v_xt

s_x = u_xt + \frac{1}{2}a_xt^2

v_x = u_x + a_xt

v_x^2 = u_x^2 + 2a_xs_x

\omega = \left| \frac {d\theta}{dt} \right| = \frac {2\pi rad}{T}

v = \frac {2\pi r}{T} = r \omega

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

E_g = \frac{-GmM_E}{r}

x(t) = (A_0 e^{-t/\tau}) \sin (\omega t + \phi)

A = \frac {F_0/m}{\sqrt {(\omega_0^2 - \Omega^2)^2 + (\Omega b/m)^2} }

\Gamma = r \times F

S_2 - S_1 = C_v \log_e \left(\frac {P_2}{P_1}\right) + C_p \log_e \left(\frac{V_2}{V_1}\right)

S = k \log_e W

\bold F = q[\xi (\bold r) + \bold v \times \bold B(\bold r)]

\frac {F}{l} = \frac{\mu_0i_1i_2}{2\pi d}

E_{tot} = \frac {mc^2}{\sqrt {1 - v^2/c^2}}

E_{mass} = mc^2

E_{trans} = \frac {mc^2}{\sqrt{1 - v^2 / c^2}} - mc^2

E_{tot}^2 = p^2c^2 + m^2c^4

E = cp

E = hf

P = \hbar k

P = |\psi(x_1)|^2 \Delta x

P = |\psi_1(r)|^2 \Delta V = |\psi_1(r)|^2 4\pi r^2 \Delta r

E_{tot} = -\frac {1}{n^2} \left \{\frac{m_ee^4}{8h^2\epsilon_0^2}\right \} = -\frac {13.6eV}{n^2}

L = \sqrt {l(l + 1)} \hbar

L_z = m_l \hbar

G(E) = \frac {2N}{\sqrt \pi} \left(\frac {1}{kT}\right)^{3/2} \sqrt E \times e^{-E/kT}

G_e(E) = \grave B \sqrt E \times \frac {1}{e^{(E-E_f)/kT} + 1}

U = \frac {3}{5}NE_F

P = \frac {2}{5}nE_F