Mechanics constants

\( \pmb{g = 9.81 \text{ m/s}^2}\) - acceleration due to gravity

\( \pmb{G = 6.67 \cdot 10^{-11} \text{ } \frac{N \cdot m^2}{kg^2}}\) - gravitational constant

\(\pmb{M_E \approx 5.97 \cdot 10^{24} \text{ kg}}\) - mass of Earth

\(\pmb{R_E \approx 6.37 \cdot 10^6 \text{ m}}\) - radius of Earth

\( \pmb{M_M \approx 7.36 \cdot 10^{22} \text{ kg}}\) - mass of Moon

\(\pmb{R_M \approx 1.74 \cdot 10^6 \text{ m}}\) - radius of Moon

\(\pmb{M_S \approx 1.99 \cdot 10^{30} \text{ kg}}\) - mass of Sun

\(\pmb{R_S \approx 6.96 \cdot 10^8 \text{ m}}\) - radius of Sun

\( \pmb{p_0 = 10^5 \text{ Pa}} \) - atmospheric pressure

\(\pmb{\rho_{air} = 1.225 \text{ } \frac{kg}{m^3}}\) - density of air

\(\pmb{\rho_{water} = 1000 \text{ } \frac{kg}{m^3}}\) - density of water

Electomagnetism constants

\( k = \pmb{9 \cdot 10^9 \text{ } \frac{N \cdot m^2}{C^2}}\) - Coulomb's constant

\( \pmb{\epsilon_0 = 8.85 \text{ } \cdot 10^{-12} \frac{F}{m}} \) - permittivity of vacuum

\( \pmb{\mu_0 = 4\pi \cdot 10^{-7} \text{ } T m A^{-1}}\) - permeability of free space

\( \pmb{\epsilon_a = 1} \) - permittivity of air

\( \pmb{\mu_0 = 1.26 \cdot 10^{-6}} \text{ } N \cdot A^{-2} \) - vacuum magnetic permeability

\( \pmb{e = 1.602 \cdot 10^{-19} \text{ C}} \) - elementary charge

\( \pmb{S = 1.36 \cdot 10^3 \text{ } \frac{W}{m^2}} \) - solar constant

Thermodynamics constants

\( \pmb{N_A = 6.02 \cdot 10^{23} \text{ mol}^{-1}} \) - Avogadro's number

\( \pmb{k_B = 1.38 \cdot 10^{-23} \text{ } \frac{J}{K}} \) - Boltzmann constant

\( \pmb{R = 8.31 \text{ } \frac{J}{mol \cdot K}} \) - universal gas constant

\( \pmb{\sigma = 5.67 \cdot 10^{-8} \text{ } \frac{W}{m^2 K^4}} \) - Stefan-Boltzmann constant

Nuclear physics constants

\( \pmb{m_p = 1.67 \cdot 10^{-27} \text{ kg}} \) - mass of proton

\( \pmb{m_n = 1.67 \cdot 10^{-27} \text{ kg}} \) - mass of neutron

\( \pmb{m_e = 9.11 \cdot 10^{-31} \text{ kg}} \) - mass of electron

\( \pmb{u = 1.66 \cdot 10^{-27} \text{ kg}} \) - atomic mass unit

\(\pmb{R_0 = 1.2 \cdot 10^{-15} \text{ m}}\) - Fermi radius

Quantum and Modern physics constants

\( \pmb{h = 6.63 \cdot 10^{-34} \text{ J} \cdot \text{s}} \) - Planck's constant

\( \pmb{c = 3.00 \cdot 10^8 \text{ } \frac{m}{s}} \) - speed of light in vacuum