202211081129 Python Formula 002

Coulomb’s law states that F the magnitude of the electrostatic force of attraction or repulsion between two point charges Q_1 and Q_2 is directly proportional to Q_1Q_2 the product of the magnitudes of charges and inversely proportional to r^2 the square of the distance between them:

\displaystyle{F=\frac{Q_1Q_2}{4\pi\epsilon_0r^2}}

Wikipedia on Coulomb’s law


Roughwork.

The nucleus of a helium atom contains two protons \sim 3.8\times 10^{-15}\,\mathrm{m} apart each of electric charge +e=+1.6\times 10^{-19}\,\mathrm{C}. The electrostatic force of repulsion between them is

202211081044 Python Formula 001

Converting between temperature scales.

\begin{aligned} & x\,^\circ\mathrm{F}\triangleq (x-32)\times \frac{5}{9}\,^\circ\mathrm{C} & \qquad & x\,^\circ\mathrm{C}\triangleq (x\times \frac{9}{5}+32)\,^\circ\mathrm{F} \\ &  x\,^\circ\mathrm{F}\triangleq (x+459.67)\times \frac{5}{9}\,\mathrm{K} & \qquad & x\,\mathrm{K}\triangleq (x\times \frac{9}{5}-459.67)\,^\circ\mathrm{F} \\ &  x\,^\circ\mathrm{F} \triangleq (x+459.67) ^\circ\mathrm{R} & \qquad & x\,^\circ\mathrm{R}\triangleq (x-459.67)\,^\circ\mathrm{F} \\ \end{aligned}


Roughwork.

One has a slight fever when one’s body temperature is 37.8\,^\circ\mathrm{C}, or in degrees Fahrenheit,

The rest of conversion of temperature scales, in Celsius, Fahrenheit, Kelvin, Rankine, etc., are left for the reader to code.