Whakaoti i te F=GMm/r^2

$$F = G \frac { M m } { r ^ { 2 } }$$

Whakaoti mō G

$$\left\{\begin{matrix}G=\frac{Fr^{2}}{Mm}\text{, }&m\neq 0\text{ and }M\neq 0\text{ and }r\neq 0\\G\in \mathrm{R}\text{, }&\left(m=0\text{ or }M=0\right)\text{ and }F=0\text{ and }r\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te r^{2}.

$$Fr^{2}=GMm$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$GMm=Fr^{2}$$

He hanga arowhānui tō te whārite.

$$MmG=Fr^{2}$$

Whakawehea ngā taha e rua ki te Mm.

$$\frac{MmG}{Mm}=\frac{Fr^{2}}{Mm}$$

Mā te whakawehe ki te Mm ka wetekia te whakareanga ki te Mm.

$$G=\frac{Fr^{2}}{Mm}$$

Whakaoti mō F

$$F=\frac{GMm}{r^{2}}$$

$$r\neq 0$$