Sep 14 2023 03:15 — 1 min read

When the Moon attracts your crush than you do


Sir Isaac Newton’s universal law of gravitation

The attraction of the Moon to your crush:

Fmoon=Gm1m2r2=6.671011m3kg1s260kg7.351022kg(3.86108m)2=1.97103N\begin{align} F_{moon} &= G\cdot\frac{m_{1}m_{2}}{r^2} \notag \\ &= 6.67\cdot{10}^{-11} m^3 kg^{-1} s^{-2}\cdot\frac{60kg\cdot7.35\cdot10^{22}kg}{\left(3.86\cdot 10^8m\right)^2} \notag \\ &= \bold{1.97\cdot 10^{-3}N} \notag \end{align}

and yours:

Fyou=Gm1m2r2=6.671011m3kg1s260kg78kg(2m)2=7.80108N4e15Fmoon\begin{align} F_{you} &=G\cdot\frac{m_{1}m_{2}}{r^2} \notag \\ &=6.67\cdot{10}^{-11} m^3 kg^{-1} s^{-2}\cdot\frac{60kg\cdot78kg}{\left(2m\right)^2} \notag \\ \tag{\char"263a poor you} &= \underbrace{\bold{7.80\cdot 10^{-8}N}}_{\approx 4e^{-15} F_{moon}} \end{align}

This formula also shows that the heavier you are, the more attractive you are to your crush. 😁

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